We evaluate analytically the master integrals for double real radiation emission in the b→ uW∗ 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.
Bonciani, R., Broggio, A., Cieri, L., Ferroglia, A. (2018). Master integrals for double real radiation emission in heavy-to-light quark decay. EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS, 78(8) [10.1140/epjc/s10052-018-6157-6].
Master integrals for double real radiation emission in heavy-to-light quark decay
Broggio, A
;
2018
Abstract
We evaluate analytically the master integrals for double real radiation emission in the b→ uW∗ 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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