Analytical Result for Dimensionally Regularized Massless Master Double Box with One Leg off Shell
High Energy Physics - Phenomenology
2008-11-26 v2 High Energy Physics - Theory
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.
Cite
@article{arxiv.hep-ph/0007032,
title = {Analytical Result for Dimensionally Regularized Massless Master Double Box with One Leg off Shell},
author = {V. A. Smirnov},
journal= {arXiv preprint arXiv:hep-ph/0007032},
year = {2008}
}
Comments
10 pages, LaTeX with axodraw.sty, one reference is corrected