Master integrals for double real radiation emission in heavy-to-light quark decay |
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| Authors: | Roberto Bonciani Alessandro Broggio Leandro Cieri Andrea Ferroglia |
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| Institution: | 1.Dipartimento di Fisica,Sapienza, Università di Roma,Rome,Italy;2.INFN Sezione di Roma,Rome,Italy;3.Physik Department T31,Technische Universit?t München,Garching,Germany;4.INFN, Sezione di Milano-Bicocca,Milan,Italy;5.Physics Department, New York City College of Technology,The City University of New York,Brooklyn,USA;6.The Graduate School and University Center,The City University of New York,New York,USA |
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| Abstract: | We evaluate analytically the master integrals for double real radiation emission in the \(b \rightarrow u W^*\) decay, 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 the present paper constitute a further step toward a fully analytic computation of differential distributions for the semileptonic decay of a b quark at NNLO in QCD. The latter partonic process plays a crucial role in the study of inclusive semileptonic charmless decays of B mesons. Our results are expressed in terms of multiple polylogarithms of maximum weight four. |
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