Master integrals for double real radiation emission in heavy-to-light quark decay
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 lep...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-08-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-6157-6 |
| Summary: | 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. |
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| ISSN: | 1434-6044 1434-6052 |