One-loop QCD corrected distribution in B to X+electron decays

TL;DR

This paper provides an analytic formula for the double distribution of hadronic invariant mass and charged lepton energy in B to X+electron decays, incorporating one-loop QCD corrections, which is essential for precise theoretical predictions.

Contribution

It introduces a novel analytic expression for the double distribution at one-loop order in perturbative QCD, linking theoretical calculations to physical observables.

Findings

Analytic formula for the double distribution derived

Infrared singularities addressed through convolution methods

Enhanced precision in modeling B decay distributions

Abstract

We give an analytic formula for the double distribution of hadronic invariant mass and charged lepton energy to one-loop order of the perturbative QCD. Although infrared singular, this quantity is closely related to physical observables that can be obtained thereof through proper convolution.