(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.0' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 44931, 1048]*) (*NotebookOutlinePosition[ 45629, 1072]*) (* CellTagsIndexPosition[ 45585, 1068]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["DSM Diagrams ", "Title"], Cell[BoxData[{ \(\($LoadPhi = True;\)\), "\n", \(\($LoadFeynArts = True;\)\), "\n", \(<< \ HighEnergyPhysics`FeynCalc`\)}], "Input"], Cell[CellGroupData[{ Cell[BoxData[{ \(SetOptions[{B0, B1, B00, B11}, \ BReduce\ \[Rule] \ True]\), "\[IndentingNewLine]", \(SetOptions[OneLoop, Dimension\ \[Rule] \ D]\)}], "Input"], Cell[BoxData[ \(TraditionalForm\`{{BReduce \[Rule] True, B0Unique \[Rule] False, B0Real \[Rule] False}, {BReduce \[Rule] True}, {BReduce \[Rule] True}, {BReduce \[Rule] True}}\)], "Output"], Cell[BoxData[ \(TraditionalForm\`{Apart2 \[Rule] True, CancelQP \[Rule] True, DenominatorOrder \[Rule] False, Dimension \[Rule] D, FinalSubstitutions \[Rule] {}, Factoring \[Rule] False, FormatType \[Rule] InputForm, InitialSubstitutions \[Rule] {}, IntermediateSubstitutions \[Rule] {}, IsolateNames \[Rule] False, Mandelstam \[Rule] {}, OneLoopSimplify \[Rule] False, Prefactor \[Rule] 1, ReduceGamma \[Rule] False, ReduceToScalars \[Rule] False, SmallVariables \[Rule] {}, WriteOut \[Rule] False, WriteOutPaVe \[Rule] False, Sum \[Rule] True}\)], "Output"] }, Open ]], Cell[BoxData[ \(\(t11\ = \ CreateTopologies[1, 1\ \[Rule] \ 1, \ ExcludeTopologies\ \[Rule] \ {Internal}];\)\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(Paint[t11]\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 1.1 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations -1.38778e-017 0.0151515 2.41777e-017 0.0151515 [ [ 0 0 0 0 ] [ 1 1.1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 1.1 L 0 1.1 L closepath clip newpath % Start of sub-graphic p -1.38778e-017 0.666667 0.333333 1 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0454545 0.0454545 0.0454545 0.0454545 [ [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath 0 g .005 w [ ] 0 setdash .04545 .5 m .5 .5 L s .95455 .5 m .5 .5 L s newpath .5 .625 .125 270 630 arc s .04 w .5 .5 Mdot gsave .5 .02273 -67.3438 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.5625 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 12.813 moveto %%IncludeResource: font Times-Roman %%IncludeFont: Times-Roman /Times-Roman findfont 7.938 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (T1) show 1.000 setlinewidth grestore MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.333333 0.666667 0.666667 1 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0454545 0.0454545 0.0454545 0.0454545 [ [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath 0 g .005 w [ ] 0 setdash .04545 .5 m .31818 .5 L s .95455 .5 m .68182 .5 L s newpath .5 .54091 .18636 192.68 347.32 arc s newpath .5 .45909 .18636 12.6804 167.32 arc s .04 w .31818 .5 Mdot .68182 .5 Mdot gsave .5 .02273 -67.3438 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.5625 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 12.813 moveto %%IncludeResource: font Times-Roman %%IncludeFont: Times-Roman /Times-Roman findfont 7.938 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (T2) show 1.000 setlinewidth grestore MathSubEnd P % End of sub-graphic 0 g gsave .43182 1.06 -66 -10.375 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.75 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 13.000 moveto %%IncludeResource: font Times-Roman %%IncludeFont: Times-Roman /Times-Roman findfont 11.938 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore gsave .5 1.06 -67.8438 -10.2813 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.5625 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 12.813 moveto %%IncludeResource: font Times-Roman %%IncludeFont: Times-Roman %%BeginResource: font Times-Roman-MISO %%BeginFont: Times-Roman-MISO /Times-Roman /Times-Roman-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Times-Roman-MISO %%IncludeFont: Times-Roman-MISO /Times-Roman-MISO findfont 11.938 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto %%IncludeResource: font Mathematica1 %%IncludeFont: Mathematica1 /Mathematica1 findfont 11.938 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 63.000 12.813 moveto (\\256) show 72.688 12.813 moveto %%IncludeResource: font Times-Roman-MISO %%IncludeFont: Times-Roman-MISO /Times-Roman-MISO findfont 11.938 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .56818 1.06 -66 -10.375 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.75 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 13.000 moveto %%IncludeResource: font Times-Roman %%IncludeFont: Times-Roman /Times-Roman findfont 11.938 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{261.813, 287.938}, ImageMargins->{{35, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg0=WIf@T00000103IfMT00`000000fMWI0=WIf@2N0=WIf@T000000P3IfMT300000?l0 fMWI0P3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT0 0?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3I fMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00 o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WI f@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o 0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI 3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0 fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT= 0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3I fMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0 fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WI f@d00000o`3IfMT00?`0fMWI0`00000=0=WIf@<00000o03IfMT00?T0fMWI0`00000C0=WIf@800000 nP3IfMT00?L0fMWI0P00000H0=WIf@<00000m`3IfMT00?D0fMWI0P00000M0=WIf@800000m@3IfMT0 0?<0fMWI0P00000Q0=WIf@800000l`3IfMT00?80fMWI00<000000=WIf@3IfMT08`3IfMT00`000000 fMWI0=WIf@3`0=WIf@00l@3IfMT00`000000fMWI0=WIf@0U0=WIf@030000003IfMT0fMWI0>l0fMWI 003_0=WIf@800000:@3IfMT00`000000fMWI0=WIf@3^0=WIf@00kP3IfMT00`000000fMWI0=WIf@0Z 0=WIf@030000003IfMT0fMWI0>d0fMWI003]0=WIf@030000003IfMT0fMWI02`0fMWI00<000000=WI f@3IfMT0k03IfMT00>d0fMWI00<000000=WIf@3IfMT0;@3IfMT00`000000fMWI0=WIf@3[0=WIf@00 k03IfMT00`000000fMWI0=WIf@0_0=WIf@030000003IfMT0fMWI0>X0fMWI003[0=WIf@030000003I fMT0fMWI0340fMWI00<000000=WIf@3IfMT0j@3IfMT00>X0fMWI00<000000=WIf@3IfMT0P0fMWI003X0=WIf@030000003IfMT0fMWI03H0fMWI00<000000=WIf@3IfMT0i`3IfMT00>P0fMWI 00<000000=WIf@3IfMT0=`3IfMT00`000000fMWI0=WIf@3V0=WIf@00j03IfMT00`000000fMWI0=WI f@0g0=WIf@030000003IfMT0fMWI0>H0fMWI003W0=WIf@030000003IfMT0fMWI03T0fMWI00<00000 0=WIf@3IfMT0i@3IfMT00>L0fMWI00<000000=WIf@3IfMT0>@3IfMT00`000000fMWI0=WIf@3U0=WI f@00i`3IfMT00`000000fMWI0=WIf@0i0=WIf@030000003IfMT0fMWI0>D0fMWI003V0=WIf@030000 003IfMT0fMWI03/0fMWI00<000000=WIf@3IfMT0i03IfMT005H0fMWI0P00002<0=WIf@<00000?@3I fMT200000>D0fMWI001E0=WIf@@00000RP3IfMT4000003`0fMWI1000003T0=WIf@001`3IfMVP0000 00l0fMWIP3IfMT600000><0 fMWI001>0=WIf@8000001@3IfMT4000000D0fMWI0P0000230=WIf@@00000?03IfMT400000>@0fMWI 001<0=WIf@800000203IfMT2000000P0fMWI0P0000220=WIf@<00000?@3IfMT200000>D0fMWI001: 0=WIf@8000005P3IfMT200000880fMWI00<000000=WIf@3IfMT0>P3IfMT00`000000fMWI0=WIf@3U 0=WIf@00B@3IfMT00`000000fMWI0=WIf@0H0=WIf@030000003IfMT0fMWI0800fMWI00<000000=WI f@3IfMT0>@3IfMT00`000000fMWI0=WIf@3U0=WIf@00B03IfMT00`000000fMWI0=WIf@0J0=WIf@03 0000003IfMT0fMWI07l0fMWI00<000000=WIf@3IfMT0>@3IfMT00`000000fMWI0=WIf@3U0=WIf@00 A`3IfMT00`000000fMWI0=WIf@0L0=WIf@030000003IfMT0fMWI07l0fMWI00<000000=WIf@3IfMT0 =`3IfMT00`000000fMWI0=WIf@3V0=WIf@00AP3IfMT00`000000fMWI0=WIf@0N0=WIf@030000003I fMT0fMWI07h0fMWI00<000000=WIf@3IfMT0=`3IfMT00`000000fMWI0=WIf@3V0=WIf@00A@3IfMT0 0`000000fMWI0=WIf@0P0=WIf@030000003IfMT0fMWI07d0fMWI00<000000=WIf@3IfMT0=P3IfMT0 0`000000fMWI0=WIf@3W0=WIf@00A03IfMT00`000000fMWI0=WIf@0R0=WIf@030000003IfMT0fMWI 07d0fMWI00<000000=WIf@3IfMT0=03IfMT00`000000fMWI0=WIf@3X0=WIf@00@`3IfMT00`000000 fMWI0=WIf@0S0=WIf@030000003IfMT0fMWI07h0fMWI00<000000=WIf@3IfMT0d0fMWI00110=WIf@030000003I fMT0fMWI02P0fMWI00<000000=WIf@3IfMT0P@3IfMT2000002L0fMWI0P00003`0=WIf@00@@3IfMT0 0`000000fMWI0=WIf@0X0=WIf@030000003IfMT0fMWI08<0fMWI00<000000=WIf@3IfMT08`3IfMT0 0`000000fMWI0=WIf@3`0=WIf@00@@3IfMT00`000000fMWI0=WIf@0X0=WIf@030000003IfMT0fMWI 08@0fMWI00<000000=WIf@3IfMT08@3IfMT00`000000fMWI0=WIf@3a0=WIf@00@@3IfMT00`000000 fMWI0=WIf@0X0=WIf@030000003IfMT0fMWI08D0fMWI0P00000O0=WIf@800000m03IfMT00440fMWI 00<000000=WIf@3IfMT0:03IfMT00`000000fMWI0=WIf@270=WIf@030000003IfMT0fMWI01X0fMWI 0P00003f0=WIf@00@@3IfMT00`000000fMWI0=WIf@0X0=WIf@030000003IfMT0fMWI08P0fMWI0P00 000I0=WIf@030000003IfMT0fMWI0?H0fMWI00110=WIf@030000003IfMT0fMWI02P0fMWI00<00000 0=WIf@3IfMT0RP3IfMT5000000h0fMWI1P00003i0=WIf@00@@3IfMT00`000000fMWI0=WIf@0X0=WI f@030000003IfMT0fMWI08l0fMWI3P00003o0=WIf@00@@3IfMT00`000000fMWI0=WIf@0X0=WIf@03 0000003IfMT0fMWI0?l0fMWIW@3IfMT00440fMWI00<000000=WIf@3IfMT09`3IfMT00`000000fMWI 0=WIf@3o0=WIfIh0fMWI00120=WIf@030000003IfMT0fMWI02H0fMWI00<000000=WIf@3IfMT0o`3I fMVN0=WIf@00@P3IfMT00`000000fMWI0=WIf@0V0=WIf@030000003IfMT0fMWI0?l0fMWIWP3IfMT0 0480fMWI00<000000=WIf@3IfMT09P3IfMT00`000000fMWI0=WIf@3o0=WIfIh0fMWI00120=WIf@03 0000003IfMT0fMWI02D0fMWI00<000000=WIf@3IfMT0o`3IfMVO0=WIf@00@`3IfMT00`000000fMWI 0=WIf@0T0=WIf@030000003IfMT0fMWI0?l0fMWIW`3IfMT004<0fMWI00<000000=WIf@3IfMT08`3I fMT00`000000fMWI0=WIf@3o0=WIfJ00fMWI00140=WIf@030000003IfMT0fMWI0280fMWI00<00000 0=WIf@3IfMT0o`3IfMVP0=WIf@00A@3IfMT00`000000fMWI0=WIf@0P0=WIf@030000003IfMT0fMWI 0?l0fMWIX@3IfMT004H0fMWI00<000000=WIf@3IfMT07P3IfMT00`000000fMWI0=WIf@3o0=WIfJ80 fMWI00170=WIf@030000003IfMT0fMWI01`0fMWI00<000000=WIf@3IfMT0o`3IfMVS0=WIf@00B03I fMT00`000000fMWI0=WIf@0J0=WIf@030000003IfMT0fMWI0?l0fMWIY03IfMT004T0fMWI00<00000 0=WIf@3IfMT0603IfMT00`000000fMWI0=WIf@3o0=WIfJD0fMWI001:0=WIf@030000003IfMT0fMWI 01H0fMWI00<000000=WIf@3IfMT0o`3IfMVV0=WIf@00B`3IfMT2000001@0fMWI0P00003o0=WIfJT0 fMWI001=0=WIf@800000403IfMT200000?l0fMWIZ`3IfMT004l0fMWI100000080=WIf@@00000o`3I fMV]0=WIf@00D`3IfMT800000?l0fMWI/@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0 fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WI fOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3I fMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWI o`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WI f@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo 0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI 003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0 fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT0 0?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3I fMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00 o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WI f@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o 0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI 3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0 fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT= 0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3I fMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0 fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WI fOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3I fMT00=h0fMWI1P0000110=WIf@H00000h03IfMT00=l0fMWI00@0_kno000000000000_kno@`3IfMT0 102o_kl000000000002o_koQ0=WIf@00h03IfMT2000004D0fMWI0P00003R0=WIf@00h03IfMT20000 02L0fMWI00<0V9RH080fMWI003P0=WIf@8000009`3IfMT00`2a/K40 @T92000fMWI0P00000X0=WIf@0308j>SP12@T80a/K601X0fMWI 0P00003R0=WIf@00h03IfMT2000002T0fMWI00<0MgMg0492@P36a/H06@3IfMT200000>80fMWI003P 0=WIf@8000006`3IfMT@0000000307MgM`3IfMT0fMWI01L0fMWI0P00003R0=WIf@00h03IfMT20000 02T0fMWI00<0MgMg0492@P3IfMT06@3IfMT200000>80fMWI003P0=WIf@800000:03IfMT00`2>SXh0 @T92000fMWI0P00000W0=WIf@030;6a/@12@T80a/K601/0fMWI 0P00003R0=WIf@00h03IfMT2000002L0fMWI00<0V9RH080fMWI003P 0=WIf@800000A@3IfMT200000>80fMWI003P0=WIf@800000A@3IfMT200000>80fMWI003N0=WIf@80 JFUY0P0000130=WIf@80JFUY0P00003R0=WIf@00gP3IfMT01033P`12@T930=WIf@04 030492@^80fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3I fMWo0=WIf@d0fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0 fMWI003o0=WIfOl0fMWI3@3IfMT00?l0fMWIo`3IfMT=0=WIf@00o`3IfMWo0=WIf@d0fMWI003o0=WI fOl0fMWI3@3IfMT00001\ \>"], ImageRangeCache->{{{0, 522.625}, {574.875, 0}} -> {-0.00104756, \ -0.000363004, 0.252579, 0.252579}, {{0, 174.188}, {226.438, 52.25}} -> \ {-1.00011, -45.0085, 0.252604, 0.252604}, {{174.188, 348.375}, {226.438, \ 52.25}} -> {-23.0004, -45.0085, 0.252604, 0.252604}}], Cell[BoxData[ FormBox[ RowBox[{\(FeynArtsGraphics(1 \[Rule] 1)\), "\[InvisibleApplication]", RowBox[{"(", TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ { FormBox[ InterpretationBox[\("["\[InvisibleSpace]"T1"\ \[InvisibleSpace]"]"\), SequenceForm[ "[", "T1", "]"], Editable->False], "TraditionalForm"], FormBox[ InterpretationBox[\("["\[InvisibleSpace]"T2"\ \[InvisibleSpace]"]"\), SequenceForm[ "[", "T2", "]"], Editable->False], "TraditionalForm"], "Null"}, {"Null", "Null", "Null"}, {"Null", "Null", "Null"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]], ")"}]}], TraditionalForm]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(t11\)], "Input"], Cell[BoxData[ \(TraditionalForm\`TopologyList(\(Topology( 2)\)\[InvisibleApplication] \((\(Propagator( Incoming)\)\[InvisibleApplication] \((\(Vertex( 1)\)\[InvisibleApplication] \((1)\), \(Vertex( 4)\)\[InvisibleApplication] \((3)\))\), \(Propagator( Outgoing)\)\[InvisibleApplication] \((\(Vertex( 1)\)\[InvisibleApplication] \((2)\), \(Vertex( 4)\)\[InvisibleApplication] \((3)\))\), \(Propagator( Loop(1))\)\[InvisibleApplication] \((\(Vertex( 4)\)\[InvisibleApplication] \((3)\), \(Vertex( 4)\)\[InvisibleApplication] \((3)\))\))\), \(Topology( 2)\)\[InvisibleApplication] \((\(Propagator( Incoming)\)\[InvisibleApplication] \((\(Vertex( 1)\)\[InvisibleApplication] \((1)\), \(Vertex( 3)\)\[InvisibleApplication] \((3)\))\), \(Propagator( Outgoing)\)\[InvisibleApplication] \((\(Vertex( 1)\)\[InvisibleApplication] \((2)\), \(Vertex( 3)\)\[InvisibleApplication] \((4)\))\), \(Propagator( Loop(1))\)\[InvisibleApplication] \((\(Vertex( 3)\)\[InvisibleApplication] \((3)\), \(Vertex( 3)\)\[InvisibleApplication] \((4)\))\), \(Propagator( Loop(1))\)\[InvisibleApplication] \((\(Vertex( 3)\)\[InvisibleApplication] \((3)\), \(Vertex( 3)\)\[InvisibleApplication] \((4)\))\))\))\)], "Output"] }, Open ]], Cell[BoxData[ \(\(\(FF\ = \ InsertFields[t11[\([2]\)], \ F[1, {1}]\ \[Rule] \ F[1, {1}], \ Model\ \[Rule] \ QED, \ ExcludeParticles\ \[Rule] \ {}, \ InsertionLevel\ \[Rule] \ {Particles}]\ ;\)\(\[IndentingNewLine]\) \)\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(ampFC0\ = \ CreateFeynAmp[FF] // ToFA1Conventions\)], "Input"], Cell[BoxData[ FormBox[ RowBox[{ RowBox[{"FeynAmpList", "(", RowBox[{\(Model \[Rule] QED\), ",", \(GenericModel \[Rule] "Lorentz"\), ",", \(AmplitudeLevel \[Rule] {Particles}\), ",", \(ExcludeParticles \[Rule] {}\), ",", \(LastSelections \[Rule] {}\), ",", \(ExcludeFieldPoints \[Rule] {}\), ",", \(Restrictions \[Rule] {}\), ",", RowBox[{"Process", "\[Rule]", RowBox[{ RowBox[{"(", "\[NoBreak]", GridBox[{ {\(F(1, {1})\), "p1", "ME"} }], "\[NoBreak]", ")"}], "\[Rule]", RowBox[{"(", "\[NoBreak]", GridBox[{ {\(F(1, {1})\), "k1", "ME"} }], "\[NoBreak]", ")"}]}]}]}], ")"}], "\[InvisibleApplication]", RowBox[{"(", RowBox[{"\[Integral]", StyleBox[\(\[DifferentialD]\^D q1\), ZeroWidthTimes->True], "(", FormBox[ RowBox[{"-", RowBox[{ RowBox[{"(", RowBox[{"\[ImaginaryI]", " ", RowBox[{ RowBox[{"\[CurlyPhi]", "(", FormBox["k1", "TraditionalForm"], ",", "ME", ")"}], ".", RowBox[{"(", RowBox[{ RowBox[{"\[ImaginaryI]", " ", "EL", " ", RowBox[{ SuperscriptBox["\[Gamma]", FormBox[ FormBox["li2", "TraditionalForm"], "TraditionalForm"]], ".", \(\[Gamma]\^6\)}]}], "+", RowBox[{"\[ImaginaryI]", " ", "EL", " ", RowBox[{ SuperscriptBox["\[Gamma]", FormBox[ FormBox["li2", "TraditionalForm"], "TraditionalForm"]], ".", \(\[Gamma]\^7\)}]}]}], ")"}], ".", RowBox[{"(", RowBox[{"ME", "+", RowBox[{ FormBox["\<\"\[Gamma]\"\>", "TraditionalForm"], "\[CenterDot]", FormBox["q1", "TraditionalForm"]}]}], ")"}], ".", RowBox[{"(", RowBox[{ RowBox[{"\[ImaginaryI]", " ", "EL", " ", RowBox[{ SuperscriptBox["\[Gamma]", FormBox[ FormBox["li1", "TraditionalForm"], "TraditionalForm"]], ".", \(\[Gamma]\^6\)}]}], "+", RowBox[{"\[ImaginaryI]", " ", "EL", " ", RowBox[{ SuperscriptBox["\[Gamma]", FormBox[ FormBox["li1", "TraditionalForm"], "TraditionalForm"]], ".", \(\[Gamma]\^7\)}]}]}], ")"}], ".", RowBox[{"\[CurlyPhi]", "(", FormBox["p1", "TraditionalForm"], ",", "ME", ")"}]}], " ", \(g\^\(li1 li2\)\)}], ")"}], "/", \((16\ \[Pi]\^4\ \((q1\^2 - ME\^2)\) . \((q1 - k1)\)\^2)\)}]}], "TraditionalForm"], ")"}], ")"}]}], TraditionalForm]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(ampFC = \(ampFC0 // Last\) // Last\)], "Input"], Cell[BoxData[ FormBox[ RowBox[{"-", RowBox[{ RowBox[{"(", RowBox[{"\[ImaginaryI]", " ", RowBox[{ RowBox[{"\[CurlyPhi]", "(", FormBox["k1", "TraditionalForm"], ",", "ME", ")"}], ".", RowBox[{"(", RowBox[{ RowBox[{"\[ImaginaryI]", " ", "EL", " ", RowBox[{ SuperscriptBox["\[Gamma]", FormBox[ FormBox["li2", "TraditionalForm"], "TraditionalForm"]], ".", \(\[Gamma]\^6\)}]}], "+", RowBox[{"\[ImaginaryI]", " ", "EL", " ", RowBox[{ SuperscriptBox["\[Gamma]", FormBox[ FormBox["li2", "TraditionalForm"], "TraditionalForm"]], ".", \(\[Gamma]\^7\)}]}]}], ")"}], ".", RowBox[{"(", RowBox[{"ME", "+", RowBox[{ FormBox["\<\"\[Gamma]\"\>", "TraditionalForm"], "\[CenterDot]", FormBox["q1", "TraditionalForm"]}]}], ")"}], ".", RowBox[{"(", RowBox[{ RowBox[{"\[ImaginaryI]", " ", "EL", " ", RowBox[{ SuperscriptBox["\[Gamma]", FormBox[ FormBox["li1", "TraditionalForm"], "TraditionalForm"]], ".", \(\[Gamma]\^6\)}]}], "+", RowBox[{"\[ImaginaryI]", " ", "EL", " ", RowBox[{ SuperscriptBox["\[Gamma]", FormBox[ FormBox["li1", "TraditionalForm"], "TraditionalForm"]], ".", \(\[Gamma]\^7\)}]}]}], ")"}], ".", RowBox[{"\[CurlyPhi]", "(", FormBox["p1", "TraditionalForm"], ",", "ME", ")"}]}], " ", \(g\^\(li1 li2\)\)}], ")"}], "/", \((16\ \[Pi]\^4\ \((q1\^2 - ME\^2)\) . \((q1 - k1)\)\^2)\)}]}], TraditionalForm]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(aff\ = \ Factor2[\(DiracSimplify[ OneLoopSimplify[ampFC /. \ Spinor[__] \[Rule] \ 1, q1, Dimension \[Rule] D], \ DiracSubstitute67\ \[Rule] \ True]\ /. \ k1 \[Rule] \ p\)\ /. \ ME\ \[Rule] \ m]\)], "Input"], Cell[BoxData[ FormBox[ FractionBox[ RowBox[{"\[ImaginaryI]", " ", \(EL\^2\), " ", RowBox[{"(", RowBox[{\(D\ m\), "-", RowBox[{"D", " ", RowBox[{ FormBox["\<\"\[Gamma]\"\>", "TraditionalForm"], "\[CenterDot]", FormBox["q1", "TraditionalForm"]}]}], "+", RowBox[{"2", " ", RowBox[{ FormBox["\<\"\[Gamma]\"\>", "TraditionalForm"], "\[CenterDot]", FormBox["q1", "TraditionalForm"]}]}]}], ")"}]}], \(16\ \[Pi]\^4\ \((q1\^2 - m\^2)\) . \((q1 - p)\)\^2\)], TraditionalForm]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(ampreduced = \(\(FullSimplify /@ Collect2[FCE@OneLoop[q1, aff], B0] /. p1\ \[Rule] \ p\)\ /. \ ME \[Rule] \ m\)\ /. \ EL\ \[Rule] \ e\)], "Input"], Cell[BoxData[ FormBox[ RowBox[{ FractionBox[ RowBox[{\(e\^2\), " ", RowBox[{\(B\_0\), "(", FormBox[ SuperscriptBox[ FormBox["p", "TraditionalForm"], "2"], "TraditionalForm"], ",", "0", ",", \(m\^2\), ")"}], " ", RowBox[{"(", RowBox[{ RowBox[{\(\[Gamma]\[CenterDot]p\), " ", RowBox[{"(", RowBox[{\(m\^2\), "+", FormBox[ SuperscriptBox[ FormBox["p", "TraditionalForm"], "2"], "TraditionalForm"]}], ")"}]}], "-", RowBox[{"4", " ", "m", " ", FormBox[ SuperscriptBox[ FormBox["p", "TraditionalForm"], "2"], "TraditionalForm"]}]}], ")"}]}], RowBox[{"16", " ", \(\[Pi]\^2\), " ", FormBox[ SuperscriptBox[ FormBox["p", "TraditionalForm"], "2"], "TraditionalForm"]}]], "-", FractionBox[ RowBox[{\(e\^2\), " ", RowBox[{"(", RowBox[{ RowBox[{ RowBox[{ FormBox[\("A"\_"0"\), "TraditionalForm"], "(", FormBox[\(m\^2\), "TraditionalForm"], ")"}], " ", \(\[Gamma]\[CenterDot]p\)}], "+", RowBox[{\((\[Gamma]\[CenterDot]p - 2\ m)\), " ", FormBox[ SuperscriptBox[ FormBox["p", "TraditionalForm"], "2"], "TraditionalForm"]}]}], ")"}]}], RowBox[{"16", " ", \(\[Pi]\^2\), " ", FormBox[ SuperscriptBox[ FormBox["p", "TraditionalForm"], "2"], "TraditionalForm"]}]]}], TraditionalForm]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[{ \(A2 = \ Coefficient[ampreduced, GS[p], 0] // Simplify\), "\[IndentingNewLine]", \(B2 = \ Coefficient[ampreduced, GS[p], 1] // Simplify\)}], "Input"], Cell[BoxData[ FormBox[ FractionBox[ RowBox[{\(e\^2\), " ", "m", " ", RowBox[{"(", RowBox[{"1", "-", RowBox[{"2", " ", RowBox[{\(B\_0\), "(", FormBox[ SuperscriptBox[ FormBox["p", "TraditionalForm"], "2"], "TraditionalForm"], ",", "0", ",", \(m\^2\), ")"}]}]}], ")"}]}], \(8\ \[Pi]\^2\)], TraditionalForm]], "Output"], Cell[BoxData[ FormBox[ RowBox[{"-", FractionBox[ RowBox[{\(e\^2\), " ", RowBox[{"(", RowBox[{ RowBox[{ FormBox[\("A"\_"0"\), "TraditionalForm"], "(", FormBox[\(m\^2\), "TraditionalForm"], ")"}], "+", FormBox[ SuperscriptBox[ FormBox["p", "TraditionalForm"], "2"], "TraditionalForm"], "-", RowBox[{ RowBox[{\(B\_0\), "(", FormBox[ SuperscriptBox[ FormBox["p", "TraditionalForm"], "2"], "TraditionalForm"], ",", "0", ",", \(m\^2\), ")"}], " ", RowBox[{"(", RowBox[{\(m\^2\), "+", FormBox[ SuperscriptBox[ FormBox["p", "TraditionalForm"], "2"], "TraditionalForm"]}], ")"}]}]}], ")"}]}], RowBox[{"16", " ", \(\[Pi]\^2\), " ", FormBox[ SuperscriptBox[ FormBox["p", "TraditionalForm"], "2"], "TraditionalForm"]}]]}], TraditionalForm]], "Output"] }, Open ]] }, Open ]] }, FrontEndVersion->"5.0 for Microsoft Windows", ScreenRectangle->{{0, 1400}, {0, 967}}, WindowSize->{1158, 661}, WindowMargins->{{75, Automatic}, {Automatic, 126}}, Magnification->2, StyleDefinitions -> "REPORT.NB" ] (******************************************************************* Cached data follows. If you edit this Notebook file directly, not using Mathematica, you must remove the line containing CacheID at the top of the file. The cache data will then be recreated when you save this file from within Mathematica. *******************************************************************) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[1776, 53, 30, 0, 158, "Title"], Cell[1809, 55, 146, 3, 133, "Input"], Cell[CellGroupData[{ Cell[1980, 62, 178, 3, 99, "Input"], Cell[2161, 67, 213, 3, 129, "Output"], Cell[2377, 72, 626, 10, 231, "Output"] }, Open ]], Cell[3018, 85, 148, 3, 65, "Input"], Cell[CellGroupData[{ Cell[3191, 92, 43, 1, 93, "Input"], Cell[3237, 95, 26284, 566, 608, 7294, 327, "GraphicsData", "PostScript", \ "Graphics"], Cell[29524, 663, 1032, 25, 185, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[30593, 693, 36, 1, 93, "Input"], Cell[30632, 696, 1565, 24, 293, "Output"] }, Open ]], Cell[32212, 723, 275, 5, 161, "Input"], Cell[CellGroupData[{ Cell[32512, 732, 83, 1, 93, "Input"], Cell[32598, 735, 4089, 83, 306, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[36724, 823, 67, 1, 93, "Input"], Cell[36794, 826, 2530, 58, 161, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[39361, 889, 297, 6, 195, "Input"], Cell[39661, 897, 757, 19, 154, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[40455, 921, 192, 3, 161, "Input"], Cell[40650, 926, 2109, 55, 154, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[42796, 986, 189, 4, 127, "Input"], Cell[42988, 992, 508, 13, 150, "Output"], Cell[43499, 1007, 1404, 37, 154, "Output"] }, Open ]] }, Open ]] } ] *) (******************************************************************* End of Mathematica Notebook file. *******************************************************************)