Analytical Result for Dimensionally Regularized Massive On-Shell Planar Double Box

Abstract

The dimensionally regularized master planar double box Feynman diagram with four massive and three massless lines, powers of propagators equal to one, all four legs on the mass shell, i.e. with p_i^2=m^2, i=1,2,3,4, is analytically evaluated for general values of m^2 and the Mandelstam variables s and t. An explicit result is expressed in terms of polylogarithms, up to the third order, depending on special combinations of m^2,s and t.

Figures (1)

• Figure 1: Planar double box diagram. Solid and dashed lines denote massive and massless propagators, respectively.