Master Integrals for Inclusive Weak Decays of Heavy Flavours at Next-to-Leading Order

TL;DR

This paper provides analytical master integrals crucial for calculating NLO QCD corrections to inclusive weak decays of heavy flavors, enabling precise predictions of decay spectra within the heavy quark expansion.

Contribution

It introduces new analytical master integrals that facilitate NLO calculations of inclusive heavy flavor decay rates and spectra, including power suppressed terms.

Findings

Analytical master integrals for NLO decay calculations

Enhanced precision in leptonic invariant mass spectra

Inclusion of power suppressed NLO QCD corrections

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.