Master integrals with 2 and 3 massive propagators for the 2-loop electroweak form factor-planar case
From MaRDI portal
Publication:874239
DOI10.1016/J.NUCLPHYSB.2004.07.018zbMATH Open1123.81387arXivhep-ph/0401193OpenAlexW1974999630MaRDI QIDQ874239
Author name not available (Why is that?)
Publication date: 5 April 2007
Published in: (Search for Journal in Brave)
Abstract: We compute the master integrals containing 2 and 3 massive propagators entering the planar amplitudes of the 2-loop electroweak form factor. The masses of the , and Higgs bosons are assumed to be degenerate. This work is a continuation of our previous evaluation of master integrals containing at most 1 massive propagator. The 1/epsilon poles and the finite parts are computed exactly in terms of a {it new} class of 1-dimensional harmonic polylogarithms of the variable x, with epsilon=2-D/2 and D the pace-time dimension. Since thresholds and pseudothresholds in s=pm 4m^2 do appear in addition to the old ones in s=0,pm m^2, an extension of the basis function set involving complex constants and radicals is introduced, together with a set of recursion equations to reduce integrals with semi-integer powers. It is shown that the basic properties of the harmonic polylogarithms are maintained by the generalization. We derive small-momentum expansions |s| << m^2 of all the 6-denominator amplitudes. We also present large momentum expansions |s| >> m^2 of all the 6-denominator amplitudes which can be represented in terms of ordinary harmonic polylogarithms. Comparison with previous results in the literature is performed finding complete agreement.
Full work available at URL: https://arxiv.org/abs/hep-ph/0401193
No records found.
This page was built for publication: Master integrals with 2 and 3 massive propagators for the 2-loop electroweak form factor-planar case
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q874239)
