Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators

DOI10.1016/S0550-3213(99)00686-0zbMATH Open0956.81055arXivhep-ph/9907385OpenAlexW3103198553MaRDI QIDQ1572443

Author name not available (Why is that?)

Publication date: 12 July 2000

Published in: (Search for Journal in Brave)

Abstract: We present an algorithm for the analytical evaluation of dimensionally regularized massless on-shell double box Feynman diagrams with arbitrary polynomials in numerators and general integer powers of propagators. Recurrence relations following from integration by parts are solved explicitly and any given double box diagram is expressed as a linear combination of two master double boxes and a family of simpler diagrams. The first master double box corresponds to all powers of the propagators equal to one and no numerators, and the second master double box differs from the first one by the second power of the middle propagator. By use of differential relations, the second master double box is expressed through the first one up to a similar linear combination of simpler double boxes so that the analytical evaluation of the first master double box provides explicit analytical results, in terms of polylogarithms $Lia-t/s$, up to $a=4$, and generalized polylogarithms $S_{a,b}(-t/s)$, with $a=1,2$ and $b=2$, dependent on the Mandelstam variables $s$ and $t$, for an arbitrary diagram under consideration.

Full work available at URL: https://arxiv.org/abs/hep-ph/9907385

Mathematics Subject Classification ID

No records found.

This page was built for publication: Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1572443)