Forest Bhabha Scattering

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Bhabha (electron -positron) Scattering

Bhabha scattering identifies the scatterng of an electron and positron (particle and anti-particle). There are two processes that can occur

1.) scattering via the exchange of a virtual photon

2.) annihilation in which the e+ and e- spend some time as a photon which then reconverts back to an e+e- pair

variables

Let:

p1 initial electron 4-momentum
u_1 \equiv initial electron spinor
p_2 \equiv final electron 4-momentum
u_2 \equiv final electron spinor
p_3 \equiv initial positron 4-momentum
\bar{u}_3 \equiv initial positron spinor
p_4 \equiv finial positron 4-momentum
ˉu4 finial positron spinor

Matrix element for scaqttering

Matrix element for annihilation

|M= |e2(ˉvkγμvk)1(kk)2(ˉupγμup) |+e2(ˉvkγνup)1(k+p)2(ˉupγνvk)

Forest_QMII