Compendium of Relations - Std Model of Quantum Field Theory

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A e2 À + À + 2 2 + À 2 2 + À 2 P sin2 #W ! W W C e ™ot P#W ! Z C e ! À W W W W 2 2 2 2 2 e mH emH e mH z4 4 À z2 À 2 2 2 2 RMW sin #W QPMW sin #W QPMW sin #W 2 2 2 e m2H e mH 2 2 + À 2 2 À @ C A !  z VMW2 sin2 #W ITMW2 sin2 #W z  e2 m2H + À 2 VMW2 sin2 #W @! A rere sym˜ol f 6@  g is used —s usu—lX f 6@  g  f@g À @@f AgF SH e e ee m q" q vw a À M em À " MZ sin P#W n n n n Z sin P#W p  ie Pme  À e C M sin P# ! e " L À ! "Le C M iem " e sin P# ze @WFIWA ˆ + Z W Z 5 W ˆ C pPM iesin P# !

C MW W W À  C PI MZ Z À MW WÀ @ ! À 2 2 À C C C C C C C C À À À + 2 2 2 2 + 2 + @WFIVA + eMW eMZ MZ Z @  z C W+ W À  C Z2 sin #W sin P # W    6 6 e e À À + +  P sin #W W ! @ @ À izA C P sin #W W  ! + C Z z @   sin P#W À + À +  ieMZ sin #W Z @W ! À W ! À A 2 e2 À  C P Z 2 A C ie À + 2 + + À  @  W W   P ™os #W Z @W ! À W ! + A À P ™os #W P sin #W zA @W ! C W ! A e2 À + À + 2 2 + À 2 2 + À 2 P sin2 #W ! W W C e ™ot P#W ! Z C e ! À W W W W 2 2 2 2 2 e mH emH e mH z4 4 À z2 À 2 2 2 2 RMW sin #W QPMW sin #W QPMW sin #W 2 2 2 e m2H e mH 2 2 + À 2 2 À @ C A !

IF Generalized Lorentz gauge.  xot—tion @ A@xA a B @xA  qp„ LGF a À PI @@ AA  €rop—g—tor I ‘g À @I À A kk “: D a k C i" k C i"  gomments  a I is peynm—n g—ugeD while  a H is v—nd—u g—ugeF por the photon @gluonA prop—g—tor one should write G@AA @see ƒu˜se™tion IHFPAF 2 2 2 2 SS PF 't Hooft gauges (R -gauges).  xot—tion @ Aa@xA À i @v;  aA a B a@xA  qp„ LGF a À PI @@ AaA  €rop—g—tor 2 Dab  ab  k k g À @I À  A a k ÀM ‘ “: k À M C i" C i" 2 2 2 2  gomments „he g—uge p—r—meterp  a W @Z A for the ™—se of W @Z A ˜oson @see ƒu˜se™tion IHFPAD v= P is the v—™uum expe™t—tion v—lue of the g—uge eldD  a —re gener—torsD M is the ve™tor ˜oson m—ssF  a I is 9t rooft{ peynm—n g—ugeD  a H is v—nd—u g—ugeD  3 I ™orresponds to unitary g—ugeF xon{physi™—l g—uge ˜osons should —lso ˜e t—ken into —™™ount in loop ™—l™ul—tionsF „hey —lso h—ve g—uge{dependent prop—g—torD see ƒu˜se™tion IHFPF Non-covariant gauges QF Coulomb gauge.

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