https://doi.org/10.1140/epjc/s10052-006-0008-6
Theoretical Physics
One-loop photonic corrections to Bhabha scattering in d=4-2ε dimensions
1
Fakultät für Physik, Universität Bielefeld, Universitätsstr. 25, 33615, Bielefeld, Germany
2
Department of Field Theory and Particle Physics, Institute of Physics, University of Silesia, Uniwersytecka 4, 40007, Katowice, Poland
3
Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, 79104, Freiburg, Germany
4
Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, 15738, Zeuthen, Germany
* e-mail: Tord.Riemann@desy.de
Received:
22
June
2006
Revised:
14
July
2006
Published online:
28
September
2006
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 ε=(4-d)/2 are derived with inclusion of the terms of order ε in order to match the two-loop accuracy. For the photonic box master integral in d dimensions we compare several different methods of evaluation.
© Springer-Verlag Berlin Heidelberg, 2006