Analytical Result for Dimensionally Regularized Massless Master Double Box with One Leg off Shell

Abstract

The dimensionally regularized massless double box Feynman diagram with powers of propagators equal to one, one leg off the mass shell, i.e. with non-zero q^2=p_1^2, and three legs on shell, p_i^2=0, i=2,3,4, is analytically calculated for general values of q^2 and the Mandelstam variables s and t. An explicit result is expressed through (generalized) polylogarithms, up to the fourth order, dependent on rational combinations of q^2,s and t, and a one-dimensional integral with a simple integrand consisting of logarithms and dilogarithms.

10 pages, LaTeX with axodraw.sty, one reference is corrected

References in corpus (2)

• Non-planar massless two-loop Feynman diagrams with four on-shell legs
• The two-loop scalar and tensor pentabox graph with light-like legs

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