Enhancement of preasymptotic effects in inclusive beauty decays

TL;DR

This paper enhances the understanding of beauty hyperon decays by refining theoretical models to predict lifetimes and decay hierarchies more accurately, incorporating moderate model dependence within SU(3) symmetry and heavy quark effective theory.

Contribution

It introduces a moderate model-dependent extension to existing analyses, improving predictions of hyperon lifetimes and decay hierarchy in beauty decays.

Findings

Improved ratio /^0 lifetime estimate (~0.9).

Predicted lifetime hierarchy:   ^0 < ^0 < ^- < ^0.

Lifetime of ^- and ^0 exceeds  by 22% and 35%, respectively.

Abstract

We extend Voloshin's recent analysis of charmed and beauty hyperon decays based on SU(3) symmetry and heavy quark effective theory, by introducing a rather moderate model-dependence, in order to obtain more predictive power, e.g. the values of lifetimes of the (\Lambda_{b},\Xi_{b}) hyperon triplet and the lifetime of \Omega_{b}. In this way we obtain an improvement of the ratio \tau(\Lambda_{b})/\tau(B_{d}^{0}) \sim 0.9 and the hierarchy of lifetimes \tau(\Lambda_{b}) \simeq \tau(\Xi_{b}^{0}) < \tau(\Xi_{b}^{-}) < \tau(\Omega_{b}) with lifetimes of \Xi_{b}^{-} and \Omega_{b} exceeding the lifetime of \Lambda_{b} by 22% and 35%, respectively.