$\Omega_b$ semi-leptonic weak decays

TL;DR

This paper provides a detailed theoretical analysis of semi-leptonic decays of the $ ext{Ω}_b$ baryon, calculating decay distributions, asymmetries, and rates using effective theories and considering polarization effects.

Contribution

It introduces comprehensive calculations of decay observables for $ ext{Ω}_b$ semi-leptonic decays, including helicity amplitudes and polarization effects, within the frameworks of large $N_c$ and HQET.

Findings

Decay angular distributions are explicitly derived.

Asymmetry parameters are calculated for polarized and unpolarized cases.

Numerical decay rates are provided based on leading order theoretical models.

Abstract

$\Omega_b \rightarrow \Omega_c^{(*)}$ semi-leptonic decays are studied in details. Relevant helicity amplitudes are written down. Both unpolarized and polarized $\Omega_b$ cases are considered. Decay angular distributions, asymmetry parameters and semileptonic decay rates are calculated, with numerical results using leading order results of the large $N_c$ and heavy quark effective theory(HQET).