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latex:feynman [2018/07/04 17:55] – [Penguin diagrams] iwn | latex:feynman [2023/06/06 18:12] – iwn | ||
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* [[https:// | * [[https:// | ||
* [[http:// | * [[http:// | ||
+ | * [[https:// | ||
* [[latex: | * [[latex: | ||
- | * [[latex: | + | * [[latex: |
- | + | * [[latex: | |
===== Simple example: electron - muon scattering ===== | ===== Simple example: electron - muon scattering ===== | ||
Line 62: | Line 62: | ||
Checkout the [[http:// | Checkout the [[http:// | ||
- | <WRAP group>< | + | <WRAP group>< |
**Table 1**: Available line styles | **Table 1**: Available line styles | ||
- | {{ latex: | + | {{ latex: |
</ | </ | ||
- | **Table 2**: Available line options | + | **Table 2**: Available line styles |
- | {{ latex:fmfmp_line_options_table.png ? 270 }} | + | {{ latex:fmfmp_line_styles_table2.png ? 600 }} |
\\ | \\ | ||
- | **Table 3**: Available vertex options of '' | + | **Table 3**: Available line options of '' |
- | {{ latex: | + | {{ latex: |
+ | \\ | ||
+ | **Table 4**: Available vertex options of '' | ||
+ | {{ latex: | ||
</ | </ | ||
Line 298: | Line 301: | ||
\\ \\ | \\ \\ | ||
</ | </ | ||
- | \\ \\ | ||
+ | ===== Bent lines and loop ===== | ||
+ | Lines can be bent by simply adding '' | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \LARGE | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(70, | ||
+ | \fmfleft{f2, | ||
+ | \fmfright{p} % outgoing photon | ||
+ | \fmf{boson, | ||
+ | \fmf{fermion}{f2, | ||
+ | \fmf{plain, | ||
+ | \fmf{fermion}{v2, | ||
+ | \fmfv{l.a=165, | ||
+ | \fmfv{l.a=-165, | ||
+ | \fmffreeze | ||
+ | \fmf{boson, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | {{ latex: | ||
+ | </ | ||
+ | |||
+ | More examples can be found below in the sections on [[# | ||
+ | \\ \\ | ||
| | ||
Line 505: | Line 534: | ||
Some Feynman diagrams contributing to top quark pair production via gluon-gluon fusion: | Some Feynman diagrams contributing to top quark pair production via gluon-gluon fusion: | ||
+ | |||
+ | Full code for a {{latex: | ||
<WRAP group>< | <WRAP group>< | ||
Line 512: | Line 543: | ||
\fmfleft{i2, | \fmfleft{i2, | ||
\fmfright{o2, | \fmfright{o2, | ||
+ | % main | ||
+ | \fmf{fermion}{i1, | ||
\fmf{fermion}{o2, | \fmf{fermion}{o2, | ||
- | | + | \fmf{gluon, |
- | | + | % labels |
- | \fmflabel{$g$}{i1} | + | \fmflabel{$q$}{i1} |
- | \fmflabel{$g$}{i2} | + | \fmflabel{$\overline{q}$}{i2} |
\fmflabel{$\overline{\text{t}}$}{o2} | \fmflabel{$\overline{\text{t}}$}{o2} | ||
\fmflabel{t}{o1} | \fmflabel{t}{o1} | ||
Line 524: | Line 557: | ||
</ | </ | ||
\\ | \\ | ||
- | {{ latex:ggttbar1.png ? 220 }} | + | {{ latex:feynman: |
\\ | \\ | ||
</ | </ | ||
Line 532: | Line 565: | ||
\begin{fmffile}{feyngraph} | \begin{fmffile}{feyngraph} | ||
\begin{fmfgraph*}(110, | \begin{fmfgraph*}(110, | ||
- | \fmfleft{i2, | + | \fmfleft{i2, |
- | \fmfright{o2, | + | \fmfright{o2, |
- | \fmf{gluon}{v1,i1} | + | \fmfshift{2 left}{i1} |
- | \fmf{fermion}{v1,o1} | + | \fmf{fermion}{o2,v2,o1} |
- | \fmf{gluon}{i2,v2} | + | \fmf{gluon}{v1,i1} |
- | \fmf{fermion}{o2,v2} | + | \fmf{gluon}{v1,i2} |
- | \fmf{fermion,label=t}{v2,v1} | + | \fmf{gluon,label=$g$}{v1,v2} |
- | \fmflabel{$g$}{i2} | + | % labels |
- | \fmflabel{$g$}{i1} | + | \fmfv{l.d=4,l=$g$}{i1} |
+ | \fmfv{l.d=6,l=$g$}{i2} | ||
+ | \fmflabel{$\overline{\text{t}}$}{o2} | ||
\fmflabel{t}{o1} | \fmflabel{t}{o1} | ||
- | \fmflabel{$\overline{\text{t}}$}{o2} | ||
\end{fmfgraph*} | \end{fmfgraph*} | ||
\end{fmffile} | \end{fmffile} | ||
Line 548: | Line 582: | ||
</ | </ | ||
\\ | \\ | ||
- | {{ latex:ggttbar2.png ? 220 }} | + | {{ latex:feynman: |
\\ | \\ | ||
</ | </ | ||
Line 558: | Line 592: | ||
\fmfleft{i2, | \fmfleft{i2, | ||
\fmfright{o2, | \fmfright{o2, | ||
- | \fmf{fermion}{i1,v1,i2} | + | |
- | \fmf{fermion}{o2, | + | |
- | \fmf{gluon,label=$g$, | + | \fmf{fermion}{v1,o1} |
- | \fmflabel{$q$}{i1} | + | \fmf{gluon}{i2,v2} |
- | \fmflabel{$\overline{q}$}{i2} | + | \fmf{fermion}{o2, |
- | \fmflabel{$\overline{\text{t}}$}{o2} | + | \fmf{fermion,label=t}{v2,v1} |
- | \fmflabel{t}{o1} | + | % labels |
+ | \fmflabel{$g$}{i2} | ||
+ | \fmflabel{$g$}{i1} | ||
+ | | ||
+ | \fmfv{l.d=7, | ||
\end{fmfgraph*} | \end{fmfgraph*} | ||
\end{fmffile} | \end{fmffile} | ||
Line 570: | Line 608: | ||
</ | </ | ||
\\ | \\ | ||
- | {{ latex:qqttbar.png ? 220 }} | + | {{ latex:feynman: |
\\ | \\ | ||
</ | </ | ||
- | + | With radiated quarks or gluons that will form hard jets: | |
- | + | ||
- | With jets: | + | |
<WRAP group>< | <WRAP group>< | ||
Line 582: | Line 618: | ||
\large | \large | ||
\begin{fmffile}{feyngraph} | \begin{fmffile}{feyngraph} | ||
- | \begin{fmfgraph*}(125,75) | + | \begin{fmfgraph*}(120,70) |
\fmfleft{i2, | \fmfleft{i2, | ||
\fmfright{o2, | \fmfright{o2, | ||
\fmftop{t} | \fmftop{t} | ||
+ | \fmfshift{5 up}{t} | ||
+ | % skeleton | ||
\fmf{phantom}{i1, | \fmf{phantom}{i1, | ||
\fmf{phantom}{o1, | \fmf{phantom}{o1, | ||
\fmf{phantom}{v1, | \fmf{phantom}{v1, | ||
\fmffreeze | \fmffreeze | ||
- | | + | |
- | \fmfshift{5 up}{i1,t} | + | \fmf{fermion}{i1,g} |
- | \fmf{gluon,tension=0.8}{g,i1} | + | \fmf{plain,tension=2.8}{g,v1} |
- | \fmf{fermion}{v1, | + | \fmf{fermion}{v1, |
- | \fmf{gluon}{v1,i2} | + | \fmf{gluon, |
- | \fmf{fermion, | + | |
\fmf{gluon}{v1, | \fmf{gluon}{v1, | ||
\fmf{fermion}{o2, | \fmf{fermion}{o2, | ||
- | \fmflabel{$g$}{i1} | + | |
- | \fmflabel{$g$}{i2} | + | |
- | \fmflabel{$\overline{\text{t}}$}{o2} | + | \fmflabel{$\overline{q}$}{i2} |
- | \fmflabel{t}{o1} | + | \fmfv{l.d=5, |
+ | \fmflabel{$\bar{\text{t}}$}{o2} | ||
+ | \fmflabel{$\text{t}$}{o1} | ||
\end{fmfgraph*} | \end{fmfgraph*} | ||
\end{fmffile} | \end{fmffile} | ||
Line 607: | Line 646: | ||
</ | </ | ||
\\ \\ | \\ \\ | ||
- | {{ latex:ggttbar_quark.png ? 220 }} | + | {{ latex:feynman: |
\\ \\ | \\ \\ | ||
</ | </ | ||
- | |||
Line 617: | Line 655: | ||
\large | \large | ||
\begin{fmffile}{feyngraph} | \begin{fmffile}{feyngraph} | ||
- | \begin{fmfgraph*}(125,75) | + | \begin{fmfgraph*}(120,75) |
\fmfleft{i2, | \fmfleft{i2, | ||
\fmfright{o2, | \fmfright{o2, | ||
\fmftop{t} | \fmftop{t} | ||
+ | \fmfshift{4 left}{i1} | ||
+ | \fmfshift{2 left}{i2} | ||
+ | \fmfshift{5 up}{t} | ||
+ | % skeleton | ||
\fmf{phantom}{i1, | \fmf{phantom}{i1, | ||
\fmf{phantom}{o1, | \fmf{phantom}{o1, | ||
- | \fmf{phantom}{v1, | + | \fmf{phantom, |
\fmffreeze | \fmffreeze | ||
- | %\fmfshift{5 left}{i1} | + | % main |
- | %\fmfshift{5 up}{i1,t} | + | |
\fmf{gluon, | \fmf{gluon, | ||
\fmf{fermion}{v1, | \fmf{fermion}{v1, | ||
- | \fmf{fermion}{i2,v1} | + | \fmf{gluon}{v1,i2} |
\fmf{fermion, | \fmf{fermion, | ||
\fmf{gluon}{v1, | \fmf{gluon}{v1, | ||
\fmf{fermion}{o2, | \fmf{fermion}{o2, | ||
- | \fmflabel{$g$}{i1} | + | |
- | \fmflabel{$q$}{i2} | + | |
- | \fmflabel{$\overline{\text{t}}$}{o2} | + | \fmfv{l.d=6,l=$g$}{i2} |
- | \fmflabel{t}{o1} | + | \fmfv{l.d=5, |
+ | \fmflabel{$\bar{\text{t}}$}{o2} | ||
+ | \fmflabel{$\text{t}$}{o1} | ||
\end{fmfgraph*} | \end{fmfgraph*} | ||
\end{fmffile} | \end{fmffile} | ||
Line 642: | Line 685: | ||
</ | </ | ||
\\ \\ | \\ \\ | ||
- | {{ latex:gqttbar_quark.png ? 220 }} | + | {{ latex:feynman: |
\\ \\ | \\ \\ | ||
</ | </ | ||
Line 652: | Line 695: | ||
\large | \large | ||
\begin{fmffile}{feyngraph} | \begin{fmffile}{feyngraph} | ||
- | \begin{fmfgraph*}(120, | + | \begin{fmfgraph*}(120, |
\fmfleft{i2, | \fmfleft{i2, | ||
\fmfright{o2, | \fmfright{o2, | ||
\fmftop{t} | \fmftop{t} | ||
+ | \fmfshift{4 left}{i1} | ||
+ | \fmfshift{2 left}{i2} | ||
+ | \fmfshift{5 up}{t} | ||
+ | % skeleton | ||
\fmf{phantom}{i1, | \fmf{phantom}{i1, | ||
\fmf{phantom}{o1, | \fmf{phantom}{o1, | ||
- | \fmf{phantom}{v1, | + | \fmf{phantom, |
\fmffreeze | \fmffreeze | ||
- | | + | |
- | \fmf{plain,tension=2.8}{g,v1} | + | \fmf{gluon,tension=0.8}{g,i1} |
- | \fmf{fermion}{v1, | + | \fmf{fermion}{v1, |
- | \fmf{gluon, | + | \fmf{fermion}{i2,v1} |
+ | \fmf{fermion, | ||
\fmf{gluon}{v1, | \fmf{gluon}{v1, | ||
\fmf{fermion}{o2, | \fmf{fermion}{o2, | ||
- | \fmflabel{$q$}{i1} | + | |
- | \fmflabel{$\overline{q}$}{i2} | + | |
- | \fmflabel{$\overline{\text{t}}$}{o2} | + | \fmfv{l.d=6,l=$q$}{i2} |
- | \fmflabel{t}{o1} | + | |
+ | \fmflabel{$\bar{\text{t}}$}{o2} | ||
+ | \fmflabel{$\text{t}$}{o1} | ||
\end{fmfgraph*} | \end{fmfgraph*} | ||
\end{fmffile} | \end{fmffile} | ||
Line 675: | Line 725: | ||
</ | </ | ||
\\ \\ | \\ \\ | ||
- | {{ latex: | + | {{ latex:feynman: |
\\ \\ | \\ \\ | ||
</ | </ | ||
Line 699: | Line 749: | ||
\fmf{boson, | \fmf{boson, | ||
\fmflabel{$q$}{i1} | \fmflabel{$q$}{i1} | ||
- | \fmflabel{$q'$}{i2} | + | \fmflabel{$\overline{q}$}{i2} |
- | \fmflabel{$\bar{\ell}$}{o2} | + | \fmflabel{$\ell^+$}{o2} |
- | \fmflabel{$\ell$}{o1} | + | \fmflabel{$\ell^-$}{o1} |
\end{fmfgraph*} | \end{fmfgraph*} | ||
\end{fmffile} | \end{fmffile} | ||
Line 736: | Line 786: | ||
\fmflabel{$g$}{i1} | \fmflabel{$g$}{i1} | ||
\fmflabel{$q$}{i2} | \fmflabel{$q$}{i2} | ||
- | \fmflabel{$q'$}{t} | + | \fmfv{l.a=25,l=$q$}{t} |
- | \fmflabel{$\bar{\ell}$}{o2} | + | \fmflabel{$\ell^+$}{o2} |
- | \fmflabel{$\ell$}{o1} | + | \fmflabel{$\ell^-$}{o1} |
\end{fmfgraph*} | \end{fmfgraph*} | ||
\end{fmffile} | \end{fmffile} | ||
Line 768: | Line 818: | ||
\fmflabel{$q$}{i1} | \fmflabel{$q$}{i1} | ||
\fmflabel{$q' | \fmflabel{$q' | ||
- | \fmflabel{$\bar{\ell}$}{o2} | + | \fmflabel{$\ell^+$}{o2} |
- | \fmflabel{$\ell$}{o1} | + | \fmflabel{$\ell^-$}{o1} |
\end{fmfgraph*} | \end{fmfgraph*} | ||
\end{fmffile} | \end{fmffile} | ||
Line 1532: | Line 1582: | ||
\large | \large | ||
\begin{fmffile}{feyngraph} | \begin{fmffile}{feyngraph} | ||
- | \begin{fmfgraph*}(130,130) | + | \begin{fmfgraph*}(180,140) |
- | \fmfleft{d,d,g2,d,g1,d,d} | + | \fmfstraight |
- | \fmfright{b2,d,t2,d,t1,d,b1} | + | \fmfleft{i2,g2,g1,i1} |
- | \fmf{gluon, | + | \fmfright{o4,o3,o2,o1} |
- | \fmf{gluon, | + | \fmftop{top} |
- | \fmf{phantom}{v1,t1} | + | \fmfbottom{bot} |
- | \fmf{phantom}{v2,t2} | + | % gluon |
+ | \fmf{gluon, | ||
+ | \fmf{gluon, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
\fmffreeze | \fmffreeze | ||
- | \fmf{fermion}{b2,v2,v3,v1,b1} | + | |
- | \fmf{dashes, | + | |
- | \fmf{fermion}{t2,a,t1} | + | \fmf{phantom, |
+ | \fmffreeze | ||
+ | % Higgs bosons | ||
+ | \fmf{dashes, | ||
+ | \fmf{dashes, | ||
+ | % decay products | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmfshift{16 down}{o1} | ||
+ | \fmfshift{ 8 down}{o2} | ||
+ | \fmfshift{ 8 up}{o3} | ||
+ | \fmfshift{16 up}{o4} | ||
+ | \fmf{fermion, | ||
+ | \fmf{fermion, | ||
+ | % labels | ||
\fmflabel{$g$}{g1} | \fmflabel{$g$}{g1} | ||
\fmflabel{$g$}{g2} | \fmflabel{$g$}{g2} | ||
- | \fmflabel{$\tau^-$}{t1} | + | \fmflabel{$\text{b}$}{o1} |
- | \fmflabel{$\tau^+$}{t2} | + | \fmflabel{$\overline{\text{b}}$}{o2} |
- | \fmflabel{$b$}{b1} | + | \fmflabel{$\tau^-$}{o3} |
- | \fmflabel{$\overline{\text{b}}$}{b2} | + | \fmflabel{$\tau^+$}{o4} |
\end{fmfgraph*} | \end{fmfgraph*} | ||
\end{fmffile} | \end{fmffile} | ||
Line 1597: | Line 1665: | ||
\\ \\ | \\ \\ | ||
</ | </ | ||
- | |||
===== Leptoquark ===== | ===== Leptoquark ===== | ||
Here are some examples of processes with leptoquarks. | Here are some examples of processes with leptoquarks. | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \LARGE | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(100, | ||
+ | \fmfleft{LQ} | ||
+ | \fmfright{q, | ||
+ | \fmf{dashes, | ||
+ | \fmf{fermion}{v, | ||
+ | \fmf{fermion}{v, | ||
+ | \fmfv{l=LQ}{LQ} | ||
+ | \fmfv{l.a=-28, | ||
+ | \fmfv{l.a=28, | ||
+ | \fmfdot{v} | ||
+ | \fmfv{l.a=115, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ | ||
+ | </ | ||
+ | |||
+ | |||
+ | |||
+ | ==== Pair production ==== | ||
<WRAP group>< | <WRAP group>< | ||
Line 1606: | Line 1701: | ||
\large | \large | ||
\begin{fmffile}{feyngraph} | \begin{fmffile}{feyngraph} | ||
- | \begin{fmfgraph*}(140,100) | + | \begin{fmfgraph*}(120,120) |
- | \fmfleft{i2, | + | \fmfstraight |
- | \fmfright{o2,l2,l1} | + | \fmfleft{i2,g2,d,g1,i1} |
- | % gluon + quarks | + | \fmfright{o4,o3,o2,o1} |
- | \fmf{gluon}{i1,v1} | + | \fmftop{top} |
- | \fmf{fermion}{i2,v2,o2} | + | \fmfbottom{bot} |
- | \fmflabel{$g$}{i1} | + | % gluonS |
- | \fmflabel{$q$}{i2} | + | \fmf{gluon, |
- | \fmflabel{$\ell$}{o2} | + | \fmf{gluon, |
- | % LQs | + | \fmf{gluon, |
- | \fmf{dashes_arrow,label=LQ,label.side=left}{v2,v1,LQ} | + | \fmf{dashes, |
- | | + | \fmf{dashes, |
- | \fmf{fermion}{l2,LQ,l1} | + | % decay products |
- | \fmflabel{$q$}{l1} | + | \fmf{phantom,tension=0.8}{top,v1} |
- | \fmflabel{$\overline{\ell}$}{l2} | + | \fmf{phantom,tension=0.8}{v2, |
+ | | ||
+ | \fmfshift{ 8 down}{o2} | ||
+ | \fmfshift{ 8 up}{o3} | ||
+ | \fmfshift{16 up}{o4} | ||
+ | \fmf{fermion, | ||
+ | \fmf{fermion, | ||
+ | % labels | ||
+ | \fmflabel{$g$}{g1} | ||
+ | \fmflabel{$g$}{g2} | ||
+ | \fmflabel{$\overline{\ell}$}{o1} | ||
+ | \fmflabel{$q$}{o2} | ||
+ | \fmflabel{$\ell$}{o3} | ||
+ | \fmflabel{$\overline{q}$}{o4} | ||
\end{fmfgraph*} | \end{fmfgraph*} | ||
\end{fmffile} | \end{fmffile} | ||
Line 1626: | Line 1734: | ||
</ | </ | ||
\\ \\ | \\ \\ | ||
- | {{ latex:lq_single_t-channel_llq.png ? 250 }} | + | {{ latex:feynman: |
\\ \\ \\ | \\ \\ \\ | ||
</ | </ | ||
Line 1634: | Line 1742: | ||
\large | \large | ||
\begin{fmffile}{feyngraph} | \begin{fmffile}{feyngraph} | ||
- | \begin{fmfgraph*}(120,100) | + | \begin{fmfgraph*}(100,120) |
\fmfstraight | \fmfstraight | ||
- | \fmfleft{i2, | + | \fmfleft{i2,g,i1} |
- | \fmfright{o2,l2,l1} | + | \fmfright{o4,o3,o2,o1} |
- | % skeleton | + | \fmftop{top} |
- | \fmf{phantom,tension=1.8}{i1,v1} | + | \fmfbottom{bot} |
- | \fmf{phantom,tension=1.0}{v1,l1} | + | % gluonS |
- | \fmf{phantom,tension=1.8}{v1,v2} | + | \fmf{gluon,tension=1.6}{g,h} |
- | \fmf{phantom, | + | \fmf{dashes,tension=1.3, |
- | \fmf{phantom, | + | \fmf{dashes,tension=1.3, |
- | \fmffreeze | + | % decay products |
- | % gluon + quarks | + | \fmf{phantom, |
- | \fmf{gluon}{i1,v1} | + | \fmf{phantom, |
- | \fmf{fermion}{i2,v2,o2} | + | \fmfshift{16 down}{o1} |
- | \fmflabel{$g$}{i1} | + | \fmfshift{ 8 down}{o2} |
- | \fmflabel{$q$}{i2} | + | \fmfshift{ 8 up}{o3} |
- | \fmflabel{$\ell$}{o2} | + | \fmfshift{16 up}{o4} |
- | % LQs | + | \fmf{fermion,tension=1.8}{o1,v1,o2} |
- | \fmf{dashes_arrow,tension=1.2, | + | \fmf{fermion,tension=1.8}{o4,v2,o3} |
- | \fmf{dashes_arrow,label=LQ,label.side=left}{v2,v1} | + | % labels |
- | % LQ -> lepton + quark | + | \fmflabel{$g$}{g} |
- | \fmf{fermion}{l2,LQ,l1} | + | \fmflabel{$\tau^+$}{o1} |
- | \fmfshift{5 right}{l1,l2} | + | \fmflabel{b}{o2} |
- | \fmfshift{20 left}{o2} | + | \fmflabel{\vspace{8pt}$\tau^-$}{o3} |
- | \fmflabel{$q$}{l1} | + | \fmflabel{$\overline{\text{b}}$}{o4} |
- | \fmflabel{$\overline{\ell}$}{l2} | + | |
\end{fmfgraph*} | \end{fmfgraph*} | ||
\end{fmffile} | \end{fmffile} | ||
</ | </ | ||
</ | </ | ||
- | \\ \\ \\ \\ | + | \\ \\ |
- | {{ latex:lq_single_t-channel_llq_straight.png ? 250 }} | + | {{ latex:feynman: |
- | \\ \\ \\ \\ \\ | + | \\ \\ \\ |
</ | </ | ||
+ | |||
+ | |||
+ | |||
+ | ==== Single production ==== | ||
<WRAP group>< | <WRAP group>< | ||
Line 1685: | Line 1796: | ||
\fmflabel{$\ell$}{o2} | \fmflabel{$\ell$}{o2} | ||
% LQ | % LQ | ||
- | \fmf{dashes_arrow, | + | \fmf{dashes, |
% LQ -> lepton + quark | % LQ -> lepton + quark | ||
\fmf{fermion}{l2, | \fmf{fermion}{l2, | ||
Line 1696: | Line 1807: | ||
</ | </ | ||
\\ \\ \\ | \\ \\ \\ | ||
- | {{ latex:lq_single_s-channel_llq.png ? 250 }} | + | {{ latex:feynman: |
\\ \\ \\ \\ | \\ \\ \\ \\ | ||
</ | </ | ||
Line 1730: | Line 1841: | ||
\fmflabel{$\ell$}{l} | \fmflabel{$\ell$}{l} | ||
% LQ | % LQ | ||
- | \fmf{dashes_arrow, | + | \fmf{dashes, |
% LQ -> lepton + quark | % LQ -> lepton + quark | ||
\fmf{fermion}{l2, | \fmf{fermion}{l2, | ||
Line 1741: | Line 1852: | ||
</ | </ | ||
\\ \\ \\ \\ | \\ \\ \\ \\ | ||
- | {{ latex:lq_single_s-channel_llq_straight.png ? 250 }} | + | {{ latex:feynman: |
\\ \\ \\ \\ \\ | \\ \\ \\ \\ \\ | ||
</ | </ | ||
+ | |||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \large | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(140, | ||
+ | \fmfleft{i2, | ||
+ | \fmfright{o2, | ||
+ | % gluon + quarks | ||
+ | \fmf{gluon}{i1, | ||
+ | \fmf{fermion}{i2, | ||
+ | \fmflabel{$g$}{i1} | ||
+ | \fmflabel{$q$}{i2} | ||
+ | \fmflabel{$\ell$}{o2} | ||
+ | % LQs | ||
+ | \fmf{dashes, | ||
+ | % LQ -> lepton + quark | ||
+ | \fmf{fermion}{l2, | ||
+ | \fmflabel{$q$}{l1} | ||
+ | \fmflabel{$\overline{\ell}$}{l2} | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ | ||
+ | </ | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \large | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(120, | ||
+ | \fmfstraight | ||
+ | \fmfleft{i2, | ||
+ | \fmfright{o2, | ||
+ | % skeleton | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmffreeze | ||
+ | % gluon + quarks | ||
+ | \fmf{gluon}{i1, | ||
+ | \fmf{fermion}{i2, | ||
+ | \fmflabel{$g$}{i1} | ||
+ | \fmflabel{$q$}{i2} | ||
+ | \fmflabel{$\ell$}{o2} | ||
+ | % LQs | ||
+ | \fmf{dashes, | ||
+ | \fmf{dashes, | ||
+ | % LQ -> lepton + quark | ||
+ | \fmf{fermion}{l2, | ||
+ | \fmfshift{5 right}{l1, | ||
+ | \fmfshift{20 left}{o2} | ||
+ | \fmflabel{$q$}{l1} | ||
+ | \fmflabel{$\overline{\ell}$}{l2} | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ \\ \\ | ||
+ | </ | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | % preamble | ||
+ | \usepackage{xcolor} | ||
+ | \definecolor{myblue}{rgb}{.0, | ||
+ | |||
+ | % body | ||
+ | \large | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(150, | ||
+ | \fmfleft{i1, | ||
+ | \fmfright{y1, | ||
+ | \fmfset{arrow_len}{10} | ||
+ | % skeleton | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom}{ip, | ||
+ | \fmf{phantom}{iq, | ||
+ | \fmffreeze | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmffreeze | ||
+ | % partons | ||
+ | \fmf{fermion, | ||
+ | \fmf{gluon, | ||
+ | % hard process | ||
+ | \fmf{fermion, | ||
+ | \fmf{fermion}{v2, | ||
+ | \fmfshift{10 right}{f1, | ||
+ | \fmf{dashes, | ||
+ | \fmf{phantom, | ||
+ | \fmf{fermion, | ||
+ | % proton 1 | ||
+ | \fmf{phantom}{ip, | ||
+ | \fmfi{fermion}{vpath (__ip,__vp) scaled 1.01 shifted (-2.4, 6)} | ||
+ | \fmfi{fermion}{vpath (__ip,__vp) scaled 1.01 shifted (-2.4, 0)} | ||
+ | \fmfi{fermion}{vpath (__ip,__vp) scaled 1.01 shifted (-2.4,-6)} | ||
+ | % proton 2 | ||
+ | \fmf{phantom}{iq, | ||
+ | \fmfi{fermion}{vpath (__iq,__vq) scaled 1.01 shifted (-2.4, 6)} | ||
+ | \fmfi{fermion}{vpath (__iq,__vq) scaled 1.01 shifted (-2.4, 0)} | ||
+ | \fmfi{fermion}{vpath (__iq,__vq) scaled 1.01 shifted (-2.4,-6)} | ||
+ | % X | ||
+ | \fmfshift{25 left}{x1} | ||
+ | \fmfshift{20 left}{x2, | ||
+ | \fmf{phantom}{vp, | ||
+ | \fmf{phantom}{vp, | ||
+ | \fmf{phantom}{vp, | ||
+ | \fmfi{fermion}{vpath (__vp,__x1) scaled 1.0 shifted (0.0, 2.0)} | ||
+ | \fmfi{fermion}{vpath (__vp,__x2) scaled 1.0 shifted (0.0, 0.0)} | ||
+ | \fmfi{fermion}{vpath (__vp,__x3) scaled 1.0 shifted (0.0,-2.0)} | ||
+ | \fmfblob{25}{vp} | ||
+ | % outgoing proton | ||
+ | \fmfshift{25 left}{y1} | ||
+ | \fmfshift{20 left}{y2, | ||
+ | \fmf{phantom}{vq, | ||
+ | \fmf{phantom}{vq, | ||
+ | \fmf{phantom}{vq, | ||
+ | \fmfi{fermion}{vpath (__vq,__y1) scaled 1.0 shifted (0.0,-2.0)} | ||
+ | \fmfi{fermion}{vpath (__vq,__y2) scaled 1.0 shifted (0.0, 0.0)} | ||
+ | \fmfi{fermion}{vpath (__vq,__y3) scaled 1.0 shifted (0.0, 2.0)} | ||
+ | \fmfblob{25}{vq} | ||
+ | % labels | ||
+ | \fmfv{l=$\text{p}^+$, | ||
+ | \fmfv{l=$\text{p}^+$, | ||
+ | \fmfv{l=$\overline{\ell}$}{f1} | ||
+ | \fmfv{l=$q$}{f2} | ||
+ | \fmfv{l=$\ell$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=$\color{myblue}\lambda$, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ \\ \\ | ||
+ | </ | ||
+ | |||
+ | |||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \large | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(120, | ||
+ | \fmfstraight | ||
+ | \fmfleft{i2, | ||
+ | \fmfright{o2, | ||
+ | % skeleton | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmffreeze | ||
+ | % gluon + quarks | ||
+ | \fmf{fermion}{i1, | ||
+ | \fmf{photon}{i2, | ||
+ | \fmf{fermion}{v2, | ||
+ | % LQs | ||
+ | \fmf{dashes, | ||
+ | \fmf{fermion}{v1, | ||
+ | % LQ -> lepton + quark | ||
+ | \fmf{fermion}{l2, | ||
+ | \fmfshift{5 right}{l1, | ||
+ | \fmfshift{2 down}{l2} | ||
+ | \fmfshift{20 left}{o2} | ||
+ | \fmfv{l.a=160, | ||
+ | \fmfv{l.a=-165, | ||
+ | \fmfv{l.a=-20, | ||
+ | \fmfv{l.a=20, | ||
+ | \fmfv{l.a=-10, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=$\color{myblue}\lambda$, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ \\ \\ | ||
+ | </ | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \large | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(150, | ||
+ | \fmfleft{i1, | ||
+ | \fmfright{y1, | ||
+ | \fmfset{arrow_len}{10} | ||
+ | % skeleton | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom}{vp, | ||
+ | \fmf{phantom}{vq, | ||
+ | \fmffreeze | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmffreeze | ||
+ | % parton | ||
+ | \fmf{fermion, | ||
+ | \fmf{photon, | ||
+ | \fmf{fermion, | ||
+ | \fmf{fermion, | ||
+ | % hard process | ||
+ | \fmfshift{5 right}{f1, | ||
+ | \fmf{dashes, | ||
+ | \fmf{fermion, | ||
+ | %\fmf{fermion, | ||
+ | % proton 1 | ||
+ | \fmf{phantom}{ip, | ||
+ | \fmfi{fermion}{vpath (__ip,__vp) scaled 1.01 shifted (-2.4, 6)} | ||
+ | \fmfi{fermion}{vpath (__ip,__vp) scaled 1.01 shifted (-2.4, 0)} | ||
+ | \fmfi{fermion}{vpath (__ip,__vp) scaled 1.01 shifted (-2.4,-6)} | ||
+ | % proton 2 | ||
+ | \fmf{phantom}{iq, | ||
+ | \fmfi{fermion}{vpath (__iq,__vq) scaled 1.01 shifted (-2.4, 6)} | ||
+ | \fmfi{fermion}{vpath (__iq,__vq) scaled 1.01 shifted (-2.4, 0)} | ||
+ | \fmfi{fermion}{vpath (__iq,__vq) scaled 1.01 shifted (-2.4,-6)} | ||
+ | % X | ||
+ | \fmfshift{25 left}{x1} | ||
+ | \fmfshift{20 left}{x2, | ||
+ | \fmf{phantom}{vp, | ||
+ | \fmf{phantom}{vp, | ||
+ | \fmf{phantom}{vp, | ||
+ | \fmfi{fermion}{vpath (__vp,__x1) scaled 1.0 shifted ( 0.0, 2.5)} | ||
+ | \fmfi{fermion}{vpath (__vp,__x2) scaled 1.0 shifted ( 0.0, 0.0)} | ||
+ | \fmfi{fermion}{vpath (__vp,__x3) scaled 1.0 shifted ( 0.0,-3.0)} | ||
+ | \fmfblob{22}{vp} | ||
+ | % outgoing proton | ||
+ | \fmfshift{25 left}{y1} | ||
+ | \fmfshift{20 left}{y2, | ||
+ | \fmf{phantom}{vq, | ||
+ | \fmf{phantom}{vq, | ||
+ | \fmf{phantom}{vq, | ||
+ | \fmfi{fermion}{vpath (__vq,__y3) scaled 1.0 shifted (-1.5, | ||
+ | \fmfi{fermion}{vpath (__vq,__y3) scaled 1.0 shifted ( 0.0, 0.0)} | ||
+ | \fmfi{fermion}{vpath (__vq,__y3) scaled 1.0 shifted ( 1.5, 6.0)} | ||
+ | \fmfblob{22}{vq} | ||
+ | % labels | ||
+ | \fmfv{l=$\text{p}^+$, | ||
+ | \fmfv{l=$\text{p}^+$, | ||
+ | \fmfv{l=$\text{p}^+$, | ||
+ | \fmfv{l=$\overline{\ell}$}{f1} | ||
+ | \fmfv{l=$q$}{f2} | ||
+ | \fmfv{l=$\ell$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=$\color{myblue}\lambda$, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ \\ \\ | ||
+ | </ | ||
+ | |||
+ | |||
+ | ==== Nonresonant (t-channel) production ==== | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(110, | ||
+ | \fmfleft{i2, | ||
+ | \fmfright{o2, | ||
+ | \fmf{fermion}{i1, | ||
+ | \fmf{fermion}{o2, | ||
+ | \fmf{dashes, | ||
+ | \fmfv{l.a=150, | ||
+ | \fmfv{l.a=30, | ||
+ | \fmfv{l.a=-150, | ||
+ | \fmfv{l.a=-30, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ | ||
+ | {{ latex: | ||
+ | \\ | ||
+ | </ | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \large | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(120, | ||
+ | \fmfleft{d, | ||
+ | \fmfright{b2, | ||
+ | % gluons | ||
+ | \fmf{gluon, | ||
+ | \fmf{gluon, | ||
+ | \fmf{phantom}{v1, | ||
+ | \fmf{phantom}{v2, | ||
+ | \fmffreeze | ||
+ | % b quarks | ||
+ | \fmf{fermion}{b2, | ||
+ | \fmf{fermion}{vl1, | ||
+ | % LQ (t-channel) | ||
+ | \fmf{dashes, | ||
+ | % tau leptons | ||
+ | \fmf{fermion}{t1, | ||
+ | \fmf{fermion}{vl2, | ||
+ | % labels | ||
+ | \fmfv{l=$g$, | ||
+ | \fmfv{l=$g$, | ||
+ | \fmfv{l=b, | ||
+ | \fmfv{l=$\overline{\text{b}}$, | ||
+ | \fmfv{l=$\tau^+$, | ||
+ | \fmfv{l=$\tau^-$, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ | ||
+ | </ | ||
+ | |||
+ | ===== Z' and W' ===== | ||
+ | |||
+ | Here are some examples of processes with Z' and W'. | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(120, | ||
+ | \fmfset{arrow_len}{10} | ||
+ | \fmfstraight | ||
+ | \fmfleft{i3, | ||
+ | \fmfright{o3, | ||
+ | % fermions | ||
+ | \fmf{fermion}{i1, | ||
+ | \fmffreeze | ||
+ | \fmf{fermion, | ||
+ | \fmf{phantom, | ||
+ | \fmflabel{b}{i1} | ||
+ | \fmflabel{c}{o1} | ||
+ | \fmflabel{$\tau$}{o2} | ||
+ | \fmflabel{$\nu_\tau$}{o3} | ||
+ | % boson | ||
+ | \fmf{boson, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ | ||
+ | </ | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(120, | ||
+ | \fmfset{arrow_len}{10} | ||
+ | \fmfstraight | ||
+ | \fmfleft{i3, | ||
+ | \fmfright{o3, | ||
+ | % fermions | ||
+ | \fmf{fermion}{i1, | ||
+ | \fmffreeze | ||
+ | \fmf{fermion, | ||
+ | \fmf{phantom, | ||
+ | \fmflabel{b}{i1} | ||
+ | \fmflabel{s}{o1} | ||
+ | \fmflabel{$\mu$}{o2} | ||
+ | \fmflabel{$\mu$}{o3} | ||
+ | % boson | ||
+ | \fmf{boson, | ||
+ | \fmfblob{16}{v1} | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ | ||
+ | </ | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \large | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(110, | ||
+ | \fmfleft{i2, | ||
+ | \fmfright{o2, | ||
+ | \fmfshift{30 right}{m1, | ||
+ | \fmf{fermion}{i1, | ||
+ | \fmf{phantom}{o2, | ||
+ | \fmf{boson, | ||
+ | \fmffreeze | ||
+ | \fmf{fermion}{o2, | ||
+ | \fmffreeze | ||
+ | \fmf{boson, | ||
+ | \fmf{fermion, | ||
+ | \fmf{phantom, | ||
+ | \fmflabel{$\mu^-$}{m1} | ||
+ | \fmflabel{$\mu^+$}{m2} | ||
+ | \fmflabel{$\mu^-$}{o1} | ||
+ | \fmflabel{$\mu^+$}{o2} | ||
+ | \fmflabel{$q$}{i1} | ||
+ | \fmflabel{$\overline{q}' | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ | ||
+ | </ | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | ===== SUSY ===== | ||
+ | |||
+ | More SUSY diagram are available [[https:// | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \large | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(80, | ||
+ | %\fmfstraight | ||
+ | \fmfleft{i2, | ||
+ | \fmfright{o4, | ||
+ | \fmftop{top} | ||
+ | \fmfbottom{bot} | ||
+ | % blob | ||
+ | \fmfblob{16}{b} | ||
+ | \fmf{dashes, | ||
+ | \fmf{dashes, | ||
+ | % decay products | ||
+ | %\fmf{phantom, | ||
+ | %\fmf{phantom, | ||
+ | \fmfshift{16 down}{o1} | ||
+ | \fmfshift{ 8 down}{o2} | ||
+ | \fmfshift{ 8 up}{o3} | ||
+ | \fmfshift{16 up}{o4} | ||
+ | \fmf{dots, | ||
+ | \fmf{fermion, | ||
+ | \fmf{fermion, | ||
+ | \fmf{dots, | ||
+ | % labels | ||
+ | \fmflabel{$\tilde{\chi}_1^0$}{o1} | ||
+ | \fmflabel{$\overline{\text{t}}$}{o2} | ||
+ | \fmflabel{$\tilde{\chi}_1^0$}{o3} | ||
+ | \fmflabel{t}{o4} | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ | ||
+ | </ | ||
+ | |||
Line 1916: | Line 2498: | ||
===== Ditau resonance in association with jets ===== | ===== Ditau resonance in association with jets ===== | ||
- | Tau pair resonance in association with two quarks, one of which is a b quark, in the t-channel: | + | Tau pair resonance in association with two quarks, one of which is a b quark, in the t-channel, like single top production: |
{{ latex: | {{ latex: | ||
Line 3113: | Line 3695: | ||
Here are some proton-proton collisions with hard processes. Note the use of '' | Here are some proton-proton collisions with hard processes. Note the use of '' | ||
+ | |||
+ | Full code for a {{latex: | ||
A generic proces: | A generic proces: | ||
Line 3208: | Line 3792: | ||
% hard process | % hard process | ||
\fmfshift{20 right}{f1, | \fmfshift{20 right}{f1, | ||
- | \fmfv{l=$\bar{f}$}{f1} | + | \fmfv{l.a=-25, |
- | \fmfv{l=$f$}{f2} | + | \fmfv{l.a=25, |
\fmf{boson, | \fmf{boson, | ||
\fmf{fermion, | \fmf{fermion, | ||
Line 3251: | Line 3835: | ||
</ | </ | ||
\\ \\ \\ \\ \\ \\ | \\ \\ \\ \\ \\ \\ | ||
- | {{ latex: | + | {{ latex:feynman: |
\\ \\ \\ \\ \\ | \\ \\ \\ \\ \\ | ||
</ | </ | ||
Line 3332: | Line 3916: | ||
Diffractive processes involving a Pomeron, after [[https:// | Diffractive processes involving a Pomeron, after [[https:// | ||
+ | |||
+ | Full code for a {{latex: | ||
Elastic scattering with Pomeron exchange: | Elastic scattering with Pomeron exchange: | ||
Line 3563: | Line 4149: | ||
+ | ===== Anomalous momentum measurement (g-2) ===== | ||
+ | |||
+ | The text colors in the diagrams below are defined with the following in the preamble: | ||
+ | <code latex> | ||
+ | \usepackage{xcolor} | ||
+ | \definecolor{myblue}{rgb}{.1, | ||
+ | \definecolor{mygreen}{rgb}{.1, | ||
+ | </ | ||
+ | |||
+ | Tree level of photon-tautau vertex: | ||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \LARGE | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(120, | ||
+ | \fmfbottom{f2, | ||
+ | \fmftop{g} | ||
+ | \fmf{boson, | ||
+ | \fmf{fermion, | ||
+ | \fmf{plain, | ||
+ | \fmf{fermion, | ||
+ | \fmfv{l.a=-50, | ||
+ | \fmfv{l.a=-25, | ||
+ | \fmfv{l.a=-155, | ||
+ | \fmffreeze | ||
+ | \fmf{boson, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | {{ latex: | ||
+ | </ | ||
+ | |||
+ | Photon loop: | ||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \LARGE | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(120, | ||
+ | \fmfbottom{f2, | ||
+ | \fmftop{g} | ||
+ | \fmf{boson, | ||
+ | \fmf{fermion, | ||
+ | \fmf{plain, | ||
+ | \fmf{fermion, | ||
+ | \fmfv{l.a=-50, | ||
+ | \fmfv{l.a=-25, | ||
+ | \fmfv{l.a=-155, | ||
+ | \fmffreeze | ||
+ | \fmf{boson, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | {{ latex: | ||
+ | </ | ||
+ | |||
+ | With vacuum polarization quark loop: | ||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \LARGE | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(160, | ||
+ | \fmfbottom{f2, | ||
+ | \fmftop{g} | ||
+ | \fmf{boson, | ||
+ | \fmf{fermion, | ||
+ | \fmf{fermion, | ||
+ | \fmf{fermion, | ||
+ | \fmfv{l.a=-50, | ||
+ | \fmfv{l.a=-25, | ||
+ | \fmfv{l.a=-155, | ||
+ | \fmffreeze | ||
+ | \fmf{boson, | ||
+ | \fmf{boson, | ||
+ | \fmf{fermion, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | {{ latex: | ||
+ | </ | ||
+ | |||
+ | Vertex with blob: | ||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \LARGE | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(120, | ||
+ | \fmfbottom{f2, | ||
+ | \fmftop{g} | ||
+ | \fmf{boson, | ||
+ | \fmf{fermion, | ||
+ | \fmfv{l.a=-25, | ||
+ | \fmfv{l.a=-155, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | decor.size=28, | ||
+ | \fmfv{l.a=-50, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | {{ latex: | ||
+ | </ | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \LARGE | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(120, | ||
+ | \fmfbottom{f2, | ||
+ | \fmftop{g} | ||
+ | \fmf{boson, | ||
+ | \fmf{fermion, | ||
+ | \fmfv{l.a=-50, | ||
+ | \fmfv{l.a=-25, | ||
+ | \fmfv{l.a=-155, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | f=(.1,, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | {{ latex: | ||
+ | </ | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \LARGE | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(120, | ||
+ | \fmfbottom{f2, | ||
+ | \fmftop{g} | ||
+ | \fmf{boson, | ||
+ | \fmf{fermion, | ||
+ | \fmf{dashes, | ||
+ | \fmf{dashes, | ||
+ | \fmf{fermion, | ||
+ | \fmf{phantom, | ||
+ | \fmfv{l.a=-25, | ||
+ | \fmfv{l.a=-155, | ||
+ | \fmffreeze | ||
+ | \fmf{fermion, | ||
+ | | ||
+ | \fmfv{l.a=-50, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | {{ latex: | ||
+ | </ | ||
+ | |||
+ | |||
+ | |||
+ | ===== Lepton flavor violating decays ===== | ||
+ | |||
+ | Some examples of lepton flavor violating (LFV) decays of heavy leptons (muon, tau), | ||
+ | which is possible in the Standard Model thanks to neutrino oscillations, | ||
+ | |||
+ | LVF decay of a heavy leptons (muon, tau) to a lepton plus photon. | ||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \large | ||
+ | \begin{fmfgraph*}(170, | ||
+ | \fmfleft{i1, | ||
+ | \fmfright{o1, | ||
+ | \fmftop{t1, | ||
+ | % fermion lines | ||
+ | \fmf{fermion}{i1, | ||
+ | \fmf{plain, | ||
+ | \fmf{plain, | ||
+ | \fmf{fermion}{v2, | ||
+ | \fmfv{decor.shape=cross, | ||
+ | \fmffreeze | ||
+ | % loop | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{boson, | ||
+ | % photon | ||
+ | \fmfshift{30 left}{t2} | ||
+ | \fmf{boson, | ||
+ | % labels | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=8, | ||
+ | \fmfv{l.d=5, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ \\ \\ | ||
+ | {{ latex: | ||
+ | </ | ||
+ | |||
+ | LVF decay of a heavy leptons (muon, tau) to a three leptons, which proceeds through a penguin diagram. | ||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \large | ||
+ | \begin{fmfgraph*}(140, | ||
+ | \fmfstraight | ||
+ | \fmfleft{i1, | ||
+ | \fmfright{o1, | ||
+ | \fmftop{t1, | ||
+ | % fermion lines | ||
+ | \fmf{fermion}{i1, | ||
+ | \fmf{plain, | ||
+ | \fmf{plain, | ||
+ | \fmf{fermion}{v2, | ||
+ | \fmfv{decor.shape=cross, | ||
+ | \fmffreeze | ||
+ | % loop | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{boson, | ||
+ | \fmffreeze | ||
+ | % photon | ||
+ | \fmf{phantom, | ||
+ | \fmfshift{5 right}{o2} | ||
+ | \fmfshift{5 right}{o3} | ||
+ | \fmf{boson, | ||
+ | \fmf{fermion, | ||
+ | % labels | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=8, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ \\ \\ | ||
+ | {{ latex: | ||
+ | </ | ||
+ | |||
+ | LVF decay of a heavy leptons (muon, tau) to a lepton and a photon through a LQ mediator. | ||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \large | ||
+ | \begin{fmfgraph*}(170, | ||
+ | \fmfleft{i1, | ||
+ | \fmfright{o1, | ||
+ | \fmftop{t1, | ||
+ | % fermion lines | ||
+ | \fmf{fermion}{i1, | ||
+ | \fmf{fermion, | ||
+ | \fmf{fermion}{v2, | ||
+ | \fmffreeze | ||
+ | % loop | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{boson, | ||
+ | % photon | ||
+ | \fmfshift{30 left}{t2} | ||
+ | \fmf{boson, | ||
+ | % labels | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=7, | ||
+ | \fmfv{l.d=5, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ \\ \\ | ||
+ | {{ latex: | ||
+ | </ | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \large | ||
+ | \begin{fmfgraph*}(170, | ||
+ | \fmfleft{i1, | ||
+ | \fmfright{o1, | ||
+ | \fmftop{t1, | ||
+ | % fermion lines | ||
+ | \fmf{fermion}{i1, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{fermion}{v2, | ||
+ | \fmffreeze | ||
+ | % internal quark line | ||
+ | \fmf{fermion, | ||
+ | \fmf{plain, | ||
+ | % loop | ||
+ | \fmf{boson, | ||
+ | % photon | ||
+ | \fmfshift{30 left}{t2} | ||
+ | \fmf{boson, | ||
+ | % labels | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=22, | ||
+ | \fmfv{l.d=5, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ \\ \\ | ||
+ | {{ latex: | ||
+ | </ | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \large | ||
+ | \begin{fmfgraph*}(170, | ||
+ | \fmfleft{i1, | ||
+ | \fmfright{o1, | ||
+ | \fmftop{t1, | ||
+ | % fermion lines | ||
+ | \fmf{fermion}{i1, | ||
+ | \fmf{phantom, | ||
+ | \fmf{fermion}{v2, | ||
+ | \fmffreeze | ||
+ | % loop top | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{plain, | ||
+ | \fmf{fermion, | ||
+ | \fmf{plain, | ||
+ | % loop bottom | ||
+ | \fmf{boson, | ||
+ | % photon | ||
+ | \fmfshift{30 left}{t2} | ||
+ | \fmf{boson, | ||
+ | % labels | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=5, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ \\ \\ | ||
+ | {{ latex: | ||
+ | </ | ||
+ | |||
+ | LVF decay of a heavy leptons (muon, tau) to a three leptons through a LQ mediator. | ||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \large | ||
+ | \begin{fmfgraph*}(140, | ||
+ | \fmfstraight | ||
+ | \fmfleft{i1, | ||
+ | \fmfright{o1, | ||
+ | \fmftop{t1, | ||
+ | % fermion lines | ||
+ | \fmf{fermion}{i1, | ||
+ | \fmf{fermion, | ||
+ | \fmf{fermion}{v2, | ||
+ | \fmffreeze | ||
+ | % loop | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{boson, | ||
+ | \fmffreeze | ||
+ | % photon | ||
+ | \fmf{phantom, | ||
+ | \fmfshift{5 right}{o2} | ||
+ | \fmfshift{5 right}{o3} | ||
+ | \fmf{boson, | ||
+ | \fmf{fermion, | ||
+ | % labels | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=8, | ||
+ | %\fmfv{l.d=5, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ \\ \\ | ||
+ | {{ latex: | ||
+ | </ | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \large | ||
+ | \begin{fmfgraph*}(150, | ||
+ | \fmfstraight | ||
+ | \fmfleft{i1, | ||
+ | \fmfright{o1, | ||
+ | % fermion lines | ||
+ | \fmf{fermion}{i1, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{fermion}{v2, | ||
+ | \fmffreeze | ||
+ | % internal quark line | ||
+ | \fmf{fermion, | ||
+ | \fmf{plain, | ||
+ | % loop | ||
+ | \fmf{boson, | ||
+ | % photon -> 2 leptons | ||
+ | \fmf{boson, | ||
+ | \fmf{fermion, | ||
+ | \fmf{phantom, | ||
+ | % labels | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=22, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ \\ \\ | ||
+ | {{ latex: | ||
+ | </ | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \large | ||
+ | \begin{fmfgraph*}(130, | ||
+ | \fmfleft{i1, | ||
+ | \fmfright{o1, | ||
+ | \fmftop{t1, | ||
+ | \fmfbottom{b1, | ||
+ | % fermion lines | ||
+ | \fmf{fermion}{i2, | ||
+ | \fmf{phantom, | ||
+ | \fmf{fermion}{v2, | ||
+ | \fmffreeze | ||
+ | % loop top | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{fermion, | ||
+ | \fmffreeze | ||
+ | \fmf{boson, | ||
+ | % loop bottom | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{boson, | ||
+ | \fmffreeze | ||
+ | \fmf{fermion, | ||
+ | % fermion | ||
+ | %\fmfshift{10 right}{o1} | ||
+ | %\fmfshift{10 right}{o3} | ||
+ | \fmf{fermion, | ||
+ | \fmf{fermion, | ||
+ | % labels | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=5, | ||
+ | %\fmfv{l.d=7, | ||
+ | \fmfv{l.d=5, | ||
+ | \fmfv{l.d=5, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ \\ \\ | ||
+ | {{ latex: | ||
+ | </ | ||
+ | ===== Ultra-peripheral lead-lead collisions ===== | ||
+ | |||
+ | The text colors in the diagrams below are defined with the following in the preamble: | ||
+ | <code latex> | ||
+ | \usepackage{xcolor} | ||
+ | \definecolor{myblue}{rgb}{.1, | ||
+ | \definecolor{myred}{rgb}{.4, | ||
+ | \definecolor{mylightred}{rgb}{.9, | ||
+ | \definecolor{mygreen}{rgb}{.1, | ||
+ | \definecolor{myorange}{rgb}{.9, | ||
+ | </ | ||
+ | |||
+ | Measuring the anomalous momentum (g-2) of tau leptons in electron-positron (e+e-) collisions: | ||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \Large | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(150, | ||
+ | \fmfleft{iq, | ||
+ | \fmfright{oq, | ||
+ | % lead 1 | ||
+ | \fmf{fermion}{ip, | ||
+ | \fmf{phantom, | ||
+ | % lead 2 | ||
+ | \fmf{fermion}{iq, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmffreeze | ||
+ | % mediators | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{boson, | ||
+ | \fmf{boson, | ||
+ | \fmffreeze | ||
+ | % taus | ||
+ | \fmf{fermion, | ||
+ | \fmf{plain, | ||
+ | \fmf{fermion, | ||
+ | % labels | ||
+ | \fmfv{l=\strut e$^-$, | ||
+ | \fmfv{l=\strut e$^-$, | ||
+ | \fmfv{l=\strut e$^+$, | ||
+ | \fmfv{l=\strut e$^+$, | ||
+ | \fmfv{l=\strut\color{mygreen}$\tau^+$, | ||
+ | \fmfv{l=\strut\color{mygreen}$\tau^-$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ | ||
+ | </ | ||
+ | |||
+ | |||
+ | Ultra-peripheral lead-lead collisions (UPC) to measure the anomalous momentum (g-2) for tau leptons: | ||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \Large | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(150, | ||
+ | \fmfleft{iq, | ||
+ | \fmfright{oq, | ||
+ | % lead 1 | ||
+ | \fmf{phantom}{ip, | ||
+ | \fmf{phantom, | ||
+ | % lead 2 | ||
+ | \fmf{phantom}{iq, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmffreeze | ||
+ | % mediators | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{boson, | ||
+ | \fmf{boson, | ||
+ | \fmf{double, | ||
+ | \fmf{double, | ||
+ | \fmffreeze | ||
+ | % taus | ||
+ | \fmf{fermion}{vt2, | ||
+ | \fmf{plain, | ||
+ | \fmf{fermion}{vt1, | ||
+ | % labels | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut$\tau^+$, | ||
+ | \fmfv{l=\strut$\tau^-$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ | ||
+ | </ | ||
+ | |||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \Large | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(150, | ||
+ | \fmfleft{iq, | ||
+ | \fmfright{oq, | ||
+ | % lead 1 | ||
+ | \fmf{phantom}{ip, | ||
+ | \fmf{phantom, | ||
+ | % lead 2 | ||
+ | \fmf{phantom}{iq, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmffreeze | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | % mediators | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{boson, | ||
+ | \fmf{boson, | ||
+ | \fmffreeze | ||
+ | % taus | ||
+ | \fmf{fermion, | ||
+ | \fmf{plain, | ||
+ | \fmf{fermion, | ||
+ | % labels | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut\color{mygreen}$\tau^+$, | ||
+ | \fmfv{l=\strut\color{mygreen}$\tau^-$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=$\color{myred}Ze$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=$\color{myred}Ze$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ | ||
+ | </ | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \Large | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(150, | ||
+ | \fmfleft{iq, | ||
+ | \fmfright{oq, | ||
+ | % lead 1 | ||
+ | \fmf{phantom}{ip, | ||
+ | \fmf{phantom, | ||
+ | % lead 2 | ||
+ | \fmf{phantom}{iq, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmffreeze | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | % mediators | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{boson, | ||
+ | \fmf{boson, | ||
+ | \fmffreeze | ||
+ | % taus | ||
+ | \fmf{fermion, | ||
+ | \fmf{plain, | ||
+ | \fmf{fermion, | ||
+ | % labels | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut\color{mygreen}$\tau^+$, | ||
+ | \fmfv{l=\strut\color{mygreen}$\tau^-$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=$\color{myred}Ze$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=$\color{myred}Ze$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=\large$\color{myblue}\delta a_\tau$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=\large$\color{myblue}\delta a_\tau$, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ | ||
+ | </ | ||
+ | |||
+ | With a blob for new physics: | ||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \Large | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(150, | ||
+ | \fmfleft{iq, | ||
+ | \fmfright{oq, | ||
+ | % proton 1 | ||
+ | \fmf{phantom}{ip, | ||
+ | \fmf{phantom, | ||
+ | % proton 2 | ||
+ | \fmf{phantom}{iq, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmffreeze | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | % mediators | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{boson, | ||
+ | \fmf{boson, | ||
+ | \fmffreeze | ||
+ | % taus | ||
+ | \fmf{fermion, | ||
+ | \fmf{plain, | ||
+ | \fmf{fermion, | ||
+ | % labels | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut\color{mygreen}$\tau^+$, | ||
+ | \fmfv{l=\strut\color{mygreen}$\tau^-$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=$\color{myred}Ze$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=$\color{myred}Ze$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=\; | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=\; | ||
+ | \fmfblob{18}{vt2, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ | ||
+ | </ | ||
+ | |||
+ | UPC with neutron emission from electromagnetic dissociation (EMD): | ||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \Large | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(150, | ||
+ | \fmfleft{iq, | ||
+ | \fmfright{oq, | ||
+ | \fmfshift{7 right}{op} | ||
+ | \fmfshift{7 right}{oq} | ||
+ | \fmfshift{5 up}{op} | ||
+ | \fmfshift{4 up}{n} | ||
+ | \fmfshift{5 down}{oq} | ||
+ | % lead 1 | ||
+ | \fmf{phantom}{ip, | ||
+ | \fmf{phantom, | ||
+ | % lead 2 | ||
+ | \fmf{phantom}{iq, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmffreeze | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmffreeze | ||
+ | \fmf{phantom, | ||
+ | \fmffreeze | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | % mediators | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{boson, | ||
+ | \fmf{boson, | ||
+ | \fmffreeze | ||
+ | % taus | ||
+ | \fmf{fermion, | ||
+ | \fmf{plain, | ||
+ | \fmf{fermion, | ||
+ | % labels | ||
+ | \fmfv{l=n$^0$, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut\color{mygreen}$\tau^+$, | ||
+ | \fmfv{l=\strut\color{mygreen}$\tau^-$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=$\color{myred}Ze$\; | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=$\color{myred}Ze$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ | ||
+ | </ | ||
+ | |||
+ | UPC with a pair of tau leptons decaying into a muon and hadrons (" | ||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \Large | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(150, | ||
+ | \fmfleft{iq, | ||
+ | \fmfright{oq, | ||
+ | \fmfshift{8 right}{m1} | ||
+ | \fmfshift{8 right}{n1} | ||
+ | \fmfshift{8 right}{n2} | ||
+ | \fmfshift{8 right}{p1} | ||
+ | \fmfshift{8 right}{p2} | ||
+ | \fmfshift{8 right}{p3} | ||
+ | \fmfshift{8 right}{n3} | ||
+ | % proton 1 | ||
+ | \fmf{phantom}{ip, | ||
+ | \fmf{phantom, | ||
+ | % proton 2 | ||
+ | \fmf{phantom}{iq, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmffreeze | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | % mediators | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{boson, | ||
+ | \fmf{boson, | ||
+ | \fmffreeze | ||
+ | % taus | ||
+ | \fmf{fermion, | ||
+ | \fmf{plain, | ||
+ | \fmf{fermion, | ||
+ | % tau decay 1 | ||
+ | \fmf{plain, | ||
+ | \fmf{plain, | ||
+ | \fmf{plain, | ||
+ | \fmf{plain, | ||
+ | \fmfv{l=$\pi^\mp$, | ||
+ | \fmfv{l=$\pi^\pm$, | ||
+ | \fmfv{l=$\pi^\mp$, | ||
+ | \fmfv{l=$\overline\nu_\tau$, | ||
+ | % tau decay 2 | ||
+ | \fmf{plain, | ||
+ | \fmf{plain, | ||
+ | \fmf{plain, | ||
+ | \fmfv{l=$\mu^\pm$, | ||
+ | \fmfv{l=$\nu_\tau$, | ||
+ | \fmfv{l=$\nu_\mu$, | ||
+ | % labels | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=$\color{myred}Ze$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=$\color{myred}Ze$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=\large$\color{myblue}\delta a_\tau$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=\large$\color{myblue}\delta a_\tau$, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ | ||
+ | </ | ||
+ | |||
+ | <WRAP group>< | ||
+ | <code latex> | ||
+ | \Large | ||
+ | \begin{fmffile}{feyngraph} | ||
+ | \begin{fmfgraph*}(150, | ||
+ | \fmfleft{iq, | ||
+ | \fmfright{oq, | ||
+ | \fmfshift{8 right}{m1} | ||
+ | \fmfshift{8 right}{n1} | ||
+ | \fmfshift{8 right}{n2} | ||
+ | \fmfshift{8 right}{p1} | ||
+ | \fmfshift{8 right}{p2} | ||
+ | \fmfshift{8 right}{p3} | ||
+ | \fmfshift{8 right}{n3} | ||
+ | % proton 1 | ||
+ | \fmf{phantom}{ip, | ||
+ | \fmf{phantom, | ||
+ | % proton 2 | ||
+ | \fmf{phantom}{iq, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmffreeze | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | \fmfi{double, | ||
+ | % mediators | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{phantom, | ||
+ | \fmf{boson, | ||
+ | \fmf{boson, | ||
+ | \fmffreeze | ||
+ | % taus | ||
+ | \fmf{fermion, | ||
+ | \fmf{plain, | ||
+ | \fmf{fermion, | ||
+ | % tau decay 1 | ||
+ | \fmf{plain, | ||
+ | \fmf{plain, | ||
+ | \fmf{plain, | ||
+ | \fmf{plain, | ||
+ | \fmfv{l=\color{myorange}$\pi^\mp$, | ||
+ | \fmfv{l=\color{myorange}$\pi^\pm$, | ||
+ | \fmfv{l=\color{myorange}$\pi^\mp$, | ||
+ | \fmfv{l=\color{mygreen}$\overline\nu_\tau$, | ||
+ | % tau decay 2 | ||
+ | \fmf{plain, | ||
+ | \fmf{plain, | ||
+ | \fmf{plain, | ||
+ | \fmfv{l=\color{mylightred}$\mu^\pm$, | ||
+ | \fmfv{l=\color{mygreen}$\nu_\tau$, | ||
+ | \fmfv{l=\color{mygreen}$\nu_\mu$, | ||
+ | % labels | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{l=\strut Pb, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=$\color{myred}Ze$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=$\color{myred}Ze$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=\large$\color{myblue}\delta a_\tau$, | ||
+ | \fmfv{decor.shape=circle, | ||
+ | l=\large$\color{myblue}\delta a_\tau$, | ||
+ | \end{fmfgraph*} | ||
+ | \end{fmffile} | ||
+ | </ | ||
+ | </ | ||
+ | \\ \\ | ||
+ | {{ latex: | ||
+ | \\ \\ \\ | ||
+ | </ | ||
===== Penguin diagrams ===== | ===== Penguin diagrams ===== | ||