Rare baryonic decays $\Lambda_b \to \Lambda l^+ l^-$ in the TTM model

TL;DR

This paper investigates how the top triangle moose (TTM) model affects rare $ ext{Lambda}_b$ baryon decays, revealing significant deviations from Standard Model predictions in branching ratios and asymmetries.

Contribution

It provides the first detailed analysis of $ ext{Lambda}_b$ decays within the TTM model, including calculations of form factors and new particle contributions.

Findings

Branching ratios are increased by an order of magnitude compared to the SM.

Significant corrections to forward-backward asymmetry and polarizations.

Potential for experimental tests of the TTM model through these decay observables.

Abstract

In the framework of the top triangle moose $(TTM)$ model, we analyze the rare decays $\Lambda_{b}\rightarrow \Lambda l^{+}l^{-} (l=e,\mu,\tau)$ by using the form factors calculated in full $QCD$. We calculate the contributions of the new particles predicted by this model to observables, such as the branching ratios, forward-backward asymmetry ($A_{FB}$) and polarizations related these decay processes. We find that, in wide range of the parameter space, the values of the branching ratios are enhanced by one order of magnitude comparing to the $SM$ predictions. This model can also produce significant corrections to $A_{FB}$, normal polarization $P_N$ and transversal polarization $P_T$.