Probing new physics in semileptonic ${\Sigma }_b$ and ${\Omega }_b$ decays

Abstract

Recently, several hints of lepton non-universality have been observed in the semileptonic B meson decays in terms of both in the neutral current ($b\to sl\bar{l}$) and charged current ($b\to cl\overline{{\nu }_l}$) transitions. Motivated by these inspiring results, we perform the analysis of the baryon decays ${\Sigma }_b\to {\Sigma }_{c}l\overline{{\nu }_l}$ and ${\Omega }_b\to {\Omega }_{c}l\overline{{\nu }_l}(l=e,\mu ,\tau )$ which are mediated by $b\to cl\overline{{\nu }_l}$ transitions at the quark level, to scrutinize the nature of new physics (NP) in the model independent method. We first use the experimental measurements of $\mathcal{B}(B\to D^{(\ast )}l\overline{{\nu }_l})$, ${\mathrm{R}}_{D^{(\ast )}}$ and ${\mathrm{R}}_{J/\psi }$ to constrain the NP coupling parameters in a variety of scenarios. Using the constrained NP coupling parameters, we report numerical results on various observables related to the processes ${\Sigma }_b\to {\Sigma }_{c}l\overline{{\nu }_l}$ and ${\Omega }_b\to {\Omega }_{c}l\overline{{\nu }_l}$, such as the branching ratios, the ratio of branching fractions, the lepton side forward-backward asymmetries, the hadron and lepton longitudinal polarization asymmetries and the convexity parameter. We also provide the $q^2$ dependency of these observables and we hope that the corresponding numerical results in this work will be testified by future experiments.

11 pages 4 figures Accept by PRD

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