Master integrals for inclusive weak decays of heavy flavors at next-to-leading order

Th Mannel,D Moreno,A A Pivovarov

doi:10.1103/physrevd.104.114035

Abstract

We present analytical results for master integrals emerging in the computation of differential rates for inclusive weak decays of heavy flavors at next-to-leading order (NLO) in QCD. As an immediate physical application, these master integrals allow for a calculation of the spectra of the leptonic invariant mass in inclusive semileptonic decays in the framework of the heavy quark expansion, including the NLO QCD corrections to power suppressed terms.

Highlights

The heavy quark expansion (HQE) [1,2,3,4,5] provides a solid framework for the computation of observables for hadrons containing a heavy quark
Inclusive decays are of great interest for the precise extraction of CabibboKobayashi-Maskawa (CKM) matrix elements [13,14], which play a central role for testing the flavor sector of the Standard Model of particle physics (SM) and for the search for flavor and CP violation beyond the SM
In this paper we describe a useful setup for the computation of αs corrections to differential rates in some specific kinematic invariants

Summary

Introduction

The heavy quark expansion (HQE) [1,2,3,4,5] provides a solid framework for the computation of observables for hadrons containing a heavy quark For this reason it has become the standard tool to analyze inclusive heavy hadron decays, which has been refined over the past three decades by detailed calculations of higher order perturbative contributions, as well as by inclusion of nonperturbative contributions. In this paper we describe a useful setup for the computation of αs corrections to differential rates in some specific kinematic invariants This setup is designed such that it can be extended to the calculation of next-to-leading order (NLO) QCD corrections to power-suppressed terms within the HQE. It opens the road for analytical NLO calculations for differential rates for power-suppressed terms, which is phenomenologically important, since this allows us to implement phase-space cuts in an easy way

Objectives

Results

Conclusion