Two-loop QCD corrections to the heavy-to-light quark decay

Bonciani, R; Ferroglia, A (2008). Two-loop QCD corrections to the heavy-to-light quark decay. Journal of High Energy Physics, (11):065.

Abstract

We present an analytic expression for the two-loop QCD corrections to the decay process b → u W*, where b and u are a massive and massless quark, respectively, while W* is an off-shell charged weak boson. Since the W-boson can subsequently decay in a lepton anti-neutrino pair, the results of this paper are a first step towards a fully analytic computation of differential distributions for the semileptonic decay of a b-quark. The latter partonic process plays a crucial role in the study of inclusive semileptonic charmless decays of B-mesons. The three independent form factors characterizing the bWu vertex are provided in form of a Laurent series in (d−4), where d is the space-time dimension. The coefficients in the series are expressed in terms of Harmonic Polylogarithms of maximal weight 4, and are functions of the invariant mass of the leptonic decay products of the W-boson

Abstract

We present an analytic expression for the two-loop QCD corrections to the decay process b → u W*, where b and u are a massive and massless quark, respectively, while W* is an off-shell charged weak boson. Since the W-boson can subsequently decay in a lepton anti-neutrino pair, the results of this paper are a first step towards a fully analytic computation of differential distributions for the semileptonic decay of a b-quark. The latter partonic process plays a crucial role in the study of inclusive semileptonic charmless decays of B-mesons. The three independent form factors characterizing the bWu vertex are provided in form of a Laurent series in (d−4), where d is the space-time dimension. The coefficients in the series are expressed in terms of Harmonic Polylogarithms of maximal weight 4, and are functions of the invariant mass of the leptonic decay products of the W-boson

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Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute for Computational Science 530 Physics Physical Sciences > Nuclear and High Energy Physics English November 2008 18 Feb 2009 16:27 03 Aug 2021 14:58 Institute of Physics Publishing 1029-8479 Hybrid https://doi.org/10.1088/1126-6708/2008/11/065 http://arxiv.org/abs/0809.4687