Fermionic NNLO contributions to Bhabha scattering

Abstract

We derive the two-loop corrections to Bhabha scattering from heavy fermions using dispersion relations. The double-box contributions are expressed by three kernel functions. Convoluting the perturbative kernels with fermionic threshold functions or with hadronic data allows to determine numerical results for small electron mass m_e, combined with arbitrary values of the fermion mass m_f in the loop, $m_e^2<<s,t,m_f^2$, or with hadronic insertions. We present numerical results for m_f = m_μ, m_τ, m_{top} at typical small- and large-angle kinematics ranging from 1 GeV to 500 GeV.

To be published in Acta Physica Polonica, based on the talk given at 31st International Conference of Theoretical Physics: Matter to the Deepest: Recent Development in Physics of Fundamental Interactions, Ustron, Katowice, Poland, 5-11 Sep 2007