Master integrals for double real radiation emission in heavy-to-light quark decay

• Main Authors: Roberto Bonciani, Alessandro Broggio, Leandro Cieri, Andrea Ferroglia
• Format: Article
• Language: English
• Published: SpringerOpen 2018-08-01
• Series: European Physical Journal C: Particles and Fields
• Online Access: http://link.springer.com/article/10.1140/epjc/s10052-018-6157-6

Abstract We evaluate analytically the master integrals for double real radiation emission in the $$b \rightarrow u W^*$$ b→uW∗ decay, where b and u are a massive and massless quark, respectively, while $$W^{*}$$ 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.