Feymann Integrals
set c=ℏ =1, (D-1),
momentum o particle p as D dimensional vector D(00) =E/c with D-1 remainder spatial components
Minkowskii scalar product of pa,pb
pa⋅pb=pμagμνpμb
set propogator of a scalar particle momentum p and mass m
1p2+m2 consider graph G with Next external edges, Nint internal edges and L=loop number for connected graphs
page 16 forwards on Feymann graph rules
Feymann Integrals by Stefan Weinzierl
https://arxiv.org/abs/2201.03593
project goal examination of the gauge group langrangians with above reference and applying the QFT creation and annihilation operators and QFT propogators
Electroweak Lanqrangian
L−14WαμνWμνα−14Wμνμν+Ψ¯¯¯¯iγμDμΨ
W1,2,3μ[ and Bμ are the 4 spin 1 fields
Covariant derivative
D2=∂μ+igWτ2−ig´2Bμ
W+ andW− bosons are expressed as
W±μ=12−−√W1μ∓iW2μ)
γ and Z as
Aμ=Bμ cosθw+W3μ sinθW
Zμ=−Bμ sinθw+W3μ cosθW
The Cabibbo-Kobayashi-Maskawa matrix