Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-10-29
Nucl.Phys. B681 (2004) 261-291; Erratum-ibid. B702 (2004) 364-366
Physics
High Energy Physics
High Energy Physics - Phenomenology
Misprints in Eqs. (36), (38), (39), and (B.9) have been corrected. The results are now available at http://pheno.physik.uni-fr
Scientific paper
10.1016/j.nuclphysb.2004.01.026
In this paper we present the master integrals necessary for the analytic calculation of the box diagrams with one electron loop (N_{F}=1) entering in the 2-loop (\alpha^3) QED virtual corrections to the Bhabha scattering amplitude of the electron. We consider on-shell electrons and positrons of finite mass m, arbitrary squared c.m. energy s, and momentum transfer t; both UV and soft IR divergences are regulated within the continuous D-dimensional regularization scheme. After a brief overview of the method employed in the calculation, we give the results, for s and t in the Euclidean region, in terms of 1- and 2-dimensional harmonic polylogarithms, of maximum weight 3. The corresponding results in the physical region can be recovered by analytical continuation. For completeness, we also provide the analytic expression of the 1-loop scalar box diagram including the first order in (D-4).
Bonciani R.
der Bij J. van J.
Ferroglia Andrea
Mastrolia Pierpaolo
Remiddi Ettore
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