b-baryon semi-tauonic decays in the Standard Model

TL;DR

This paper analyzes semi-tauonic decays of b-baryons within the Standard Model using HQET, calculating decay ratios and helicity amplitudes with QCD sum rules and large N_c methods.

Contribution

It provides a detailed theoretical analysis of b-baryon semi-tauonic decays, incorporating higher-order corrections and numerical estimates of decay ratios.

Findings

Calculated baryonic R-ratios R(Λ_c) and R(Ω_c^{(*)})

Derived helicity amplitudes for the decays

Applied QCD sum rule and large N_c methods for Isgur-Wise functions

Abstract

Within the framework of HQET, $\Lambda_{b}\rightarrow\Lambda_{c}\tau\bar{\nu}_{\tau}$ and $\Omega_{b}\rightarrow\Omega_{c}^{(*)}\tau\bar{\nu}_{\tau}$ weak decays are studied to the order of $1/m_c$ and $1/m_b$. Helicity amplitudes are written down. Relevant Isgur-Wise functions given by QCD sum rule and large $N_c$ methods are applied in the numerical analysis. The baryonic R-ratios $R(\Lambda_c)$ and $R(\Omega_c^{(*)})$ are obtained.