b-quark decay in the collinear approximation

TL;DR

This paper analyzes the semileptonic decay of b-quarks in the collinear approximation, providing analytic formulas for lepton energy distributions to aid fast simulation of heavy quark decay backgrounds.

Contribution

It offers new analytic results for lepton energy distributions in b-quark decays considering finite charm-quark mass, useful for simulations.

Findings

Derived double differential lepton energy distributions.

Applicable to fast simulation of heavy quark decay backgrounds.

Considers finite charm-quark mass effects.

Abstract

The semileptonic decay of a b-quark, b--> c l nu, is considered in the relativistic limit where the decay products are approximately collinear. Analytic results for the double differential lepton energy distributions are given for finite charm-quark mass. Their use for the fast simulation of isolated lepton backgrounds from heavy quark decays is discussed.