First order radiative corrections to Bhabha scattering in $d$ dimensions

Details First order radiative corrections to Bhabha scattering in $d$ dimensions First order radiative corrections to Bhabha scattering in $d$ dimensions

2006-06-20

arxiv.org/abs/hep-ph/0606210v2

Eur.J.Phys.48:35-52,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

35 pages, 3 figures, 2 tables, uses feynmp.sty, references updated

Scientific paper

10.1140/epjc/s10052-006-0008-6

The luminosity measurement at the projected International Linear $e^+e^-$ Collider ILC is planned to be performed with forward Bhabha scattering with an accuracy of the order of $10^{-4}$. A theoretical prediction of the differential cross-section has to include one-loop weak corrections, with leading higher order terms, and the complete two-loop QED corrections. Here, we present the weak part and the virtual one-loop photonic corrections. For the photonic corrections, the expansions in $\epsilon = (4-d)/2$ are derived with inclusion of the terms of order $\epsilon$ in order to match the two-loop accuracy. For the photonic box master integral in $d$ dimensions we compare several different methods of evaluation.

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