Master integrals with one massive propagator for the two-loop electroweak form factor
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Publication:1403478
DOI10.1016/J.NUCLPHYSB.2003.07.004zbMATH Open1031.81068arXivhep-ph/0304028OpenAlexW2064947822MaRDI QIDQ1403478
Author name not available (Why is that?)
Publication date: 1 September 2003
Published in: (Search for Journal in Brave)
Abstract: We compute the master integrals containing one massive propagator entering the two-loop electroweak form factor, i.e. the process f fbar --> X, where f fbar is an on-shell massless fermion pair and X is a singlet particle under SU(2)L x U(1)Y, such as a virtual gluon or an hypothetical Z'. The method used is that of the differential equation in the evolution variable x = -s/m^2, where s is the c.m. energy squared and m is the mass of the W or Z bosons (assumed to be degenerate). The 1/epsilon poles and the finite parts are computed exactly in terms of one-dimensional harmonic polylogarithms of the variable x, H(w;x), with epsilon=2-D/2 and D the space-time dimension. We present large-momentum expansions of the master integrals, i.e. expansions for |s| >> m^2, which are relevant for the study of infrared properties of the Standard Model. We also derive small-momentum expansions of the master integrals, i.e. expansions in the region |s| << m^2, related to the threshold behaviour of the form factor (soft probe). Comparison with previous results in the literature is performed finding complete agreement.
Full work available at URL: https://arxiv.org/abs/hep-ph/0304028
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