Harmonic polylogarithms for massive Bhabha scattering

Abstract

One- and two-dimensional harmonic polylogarithms, HPLs and GPLs, appear in calculations of multi-loop integrals. We discuss them in the context of analytical solutions for two-loop master integrals in the case of massive Bhabha scattering in QED. For the GPLs we discuss analytical representations, conformal transformations, and also their transformations corresponding to relations between master integrals in the s- and t-channel.

6 pages, latex, uses espcrc2.sty, contrib. to Proc. of X. Int. Workshop on Advanced Computing and Analysis Techniques in Physics Research (ACAT), May 22 - 27, 2005, DESY, Zeuthen, Germany, to appear in NIM

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Cited by in corpus (4)

• Analytic results for two-loop master integrals for Bhabha scattering I
• Two-Loop Formfactors in Theories with Mass Gap and Z-Boson Production
• Planar two-loop master integrals for massive Bhabha scattering: N_f=1 and N_f=2
• Analytic results for two-loop planar master integrals for Bhabha scattering