Planar two-loop master integrals for massive Bhabha scattering: N_f=1 and N_f=2
Abstract
Recent developments in the computation of two-loop master integrals for massive Bhabha scattering are briefly reviewed. We apply a method based on expansions of exact Mellin-Barnes representations and evaluate all planar four-point master integrals in the approximation of small electron mass at fixed scattering angle for the one-flavor case. The same technique is employed to derive and evaluate also all two-loop masters generated by additional fermion flavors. The approximation is sufficient for the determination of QED two-loop corrections for Bhabha scattering in the kinematics planned to be used for the luminosity determination at the ILC.
Cite
@article{arxiv.hep-ph/0609051,
title = {Planar two-loop master integrals for massive Bhabha scattering: N_f=1 and N_f=2},
author = {Stefano Actis and Michal Czakon and Janusz Gluza and Tord Riemann},
journal= {arXiv preprint arXiv:hep-ph/0609051},
year = {2009}
}
Comments
10 pages, 3 figures, 1 table, to appear in the proceedings of 8th DESY Workshop on Elementary Particle Theory: Loops and Legs in Quantum Field Theory, Eisenach, Germany, 23-28 Apr 2006; eqns. 22 and 23 corrected