One-loop photonic corrections to Bhabha scattering in d=4-2ε dimensions

Fleischer, J.; Gluza, J.; Lorca, A.; Riemann, T.

doi:10.1140/epjc/s10052-006-0008-6

One-loop photonic corrections to Bhabha scattering in d=4-2ε dimensions

J. Fleischer
(
- Bielefeld U.
)
,
J. Gluza
(
- Silesia U.
)
,
A. Lorca
(
- Freiburg U. and
- DESY, Zeuthen
)
,
T. Riemann
(
- DESY, Zeuthen
)

Jun, 2006

35 pages

Published in:

Eur.Phys.J.C 48 (2006) 35-52

e-Print:

hep-ph/0606210 [hep-ph]

DOI:

10.1140/epjc/s10052-006-0008-6

Report number:

DESY-06-045,
BI-TP-2006-21,
FREIBURG-THEP-06-07,
SFB-CPP-06-27

View in:

ADS Abstract Service

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Abstract:

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.

Note:

35 pages, 3 figures, 2 tables, uses feynmp.sty, references updated Report-no: DESY 06-045, BI-TP 2006/21, Freiburg-THEP 06/07, SFB/CPP-06-27

electron positron: elastic scattering
electroweak interaction: correction
Feynman graph: higher-order
quantum electrodynamics: correction
regularization: dimensional
epsilon expansion
form factor

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