$O(\alpha_s)$ perturbative and nonperturbative corrections to polarized semileptonic $\Lambda_b$ decay distributions

TL;DR

This paper provides a detailed calculation of first-order QCD radiative corrections and nonperturbative effects on the decay distributions of polarized bottom quarks, enhancing understanding of semileptonic Lambda_b decays.

Contribution

It introduces analytical expressions for decay rates including both perturbative and nonperturbative corrections, considering quark masses and polarization states.

Findings

Analytical formulas for differential decay rates with corrections.

Quantitative estimates of nonperturbative contributions.

Analysis of decay distributions for various polarization states.

Abstract

In this paper we calculate first order radiative QCD corrections to the decay process $b\to cW^-(\to\ell^-\bar\nu_\ell)$ of a polarized bottom quark. Taking into account both the bottom and charm quark masses, the analytical expressions given in this paper allow for a detailed analysis of the differential decay rate of the polarized quark in dependence on the polar and azimuthal angles of the lepton pair and the angle of the polarization vector of the quark relative to the momentum direction of the $W$ boson. The results are given for different polarization states of the charged lepton. In addition, we calculated nonperturbative corrections and estimated their contribution.