Differential equations and massive two-loop Bhabha scattering: the B5l2m3 case

Abstract

The two-loop box contributions to massive Bhabha scattering may be reduced to two-loop box master integrals (MIs) with five, six, and seven internal lines, plus vertices and self energies. The self-energy and vertex MIs may be solved analytically by the differential equations (DE) method. This is true for only few of the box masters. Here we describe some details of the analytical determination, including constant terms in ep=(4-d)/2, of the complicated topology B5l2m3 (with 5 lines, 2 of them being massive). With the DE approach, three of the four coupled masters have been solved in terms of (generalized) standard Harmonic Polylogarithms.

5 pages, 2 figures, contribution to RADCOR 2005, Oct 2-7, 2005, Shonan Village, Japan, to appear in Nucl. B (Proc. Suppl.)

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Cited by in corpus (5)

• Feynman Diagrams and Differential Equations
• AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals
• Analytic results for two-loop master integrals for Bhabha scattering I
• Two-Loop Fermionic Corrections to Massive Bhabha Scattering
• Analytic results for two-loop planar master integrals for Bhabha scattering