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Article
Report number	hep-ph/0211167 ; BI-TP-2002-27 ; CERN-TH-2002-306 ; DESY-02-196 ; CERN-2002-306-[SIC!] ; CERN-TH-2002-306 ; DESY-02-196 ; DESY-2002-196 ; BI-TP-2002-27
Title	Massive two-loop Bhabha scattering : the factorizable subset
Author(s)	Fleischer, J. (Bielefeld U.) ; Riemann, T. (DESY, Zeuthen) ; Tarasov, O.V. (Bielefeld U. ; DESY, Zeuthen) ; Werthenbach, A. (DESY, Zeuthen ; CERN)
Publication	2003
Imprint	12 Nov 2002
Number of pages	5
Note	5 pages, Talk presented by A.W. at RADCOR and Loops and Legs 2002 in Banz, Germany, to appear in the proceedings
In:	Nucl. Phys. B, Proc. Suppl. 116 (2003) 43-47
In:	6th International Symposium on Radiative Corrections and the 6th Zeuthen Workshop on Elementary Particle Theory, Kloster Banz, Germany, 8 - 13 Sep 2002, pp.43-47
DOI	10.1016/S0920-5632(03)80141-X
Subject category	Particle Physics - Phenomenology
Abstract	The experimental precision that will be reached at the next generation of colliders makes it indispensable to improve theoretical predictions significantly. Bhabha scattering (e^+ e^- \to e^+ e^-) is one of the prime processes calling for a better theoretical precision, in particular for non-zero electron masses. We present a first subset of the full two-loop calculation, namely the factorizable subset. Our calculation is based on DIANA. We reduce tensor integrals to scalar integrals in shifted (increased) dimensions and additional powers of various propagators, so-called dots-on-lines. Recurrence relations remove those dots-on-lines as well as genuine dots-on-lines (originating from mass renormalization) and reduce the dimension of the integrals to the generic d = 4 - 2 \epsilon dimensions. The resulting master integrals have to be expanded to ${\it O}(\epsilon)$ to ensure proper treatment of all finite terms.

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