Publications and Research

Document Type

Article

Publication Date

8-23-2018

Abstract

We evaluate analytically the master integrals for double real radiation emission in the b→uW∗" role="presentation" style="box-sizing: inherit; display: inline-block; line-height: normal; word-spacing: normal; overflow-wrap: normal; text-wrap: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">𝑏→𝑢𝑊∗ decay, where b and u are a massive and massless quark, respectively, while W∗" role="presentation" style="box-sizing: inherit; display: inline-block; line-height: normal; word-spacing: normal; overflow-wrap: normal; text-wrap: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">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.

Comments

This article was originally published in The European Physical Journal C, available at https://doi.org/10.1140/epjc/s10052-018-6157-6

This work is distributed under a Creative Commons Attribution 4.0 International License (CC BY 4.0). Funded by SCOAP3.

The work of A.F. is supported in part by the National Science Foundation under Grant no. PHY-1417354 and PSC CUNY Research Award TRADA-48-265. A.B. and A.F. would like to thank G. Heinrich and S. Jahn for the help with the program SecDec. A.B. and A.F. would like to thank the Munich Institute for Astro- and Particle Physics (MIAPP) of the DFG cluster of excellence “Origin and Structure of the Universe” for hospitality and support.

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