Probing new physics in semileptonic $$\Xi _{b}\rightarrow \Lambda (\Xi _{c})\tau ^{-}\bar{\nu }_{\tau }$$ Ξ b → Λ ( Ξ c ) τ - ν ¯ τ decays

Recently, several observed anomalies in semileptonic B meson decays have implied hints of lepton flavor universal violation. Motivated by these inspiring results, we study the baryon decays $$\Xi _{b}\rightarrow \Lambda (\Xi _{c})\tau ^{-}\bar{\nu }_{\tau }$$ which are mediated by $$b\rightarrow u(c)\tau ^{-}\bar{\nu }_{\tau }$$ transitions at quark level in the Standard Model and different New Physics scenarios. In the framework of the extended Standard Model on assuming a general effective theory, we constrain the Wilson coefficients of the NP operators using the experimental measurement results for the $$Br(B_{c}^+\rightarrow \tau ^+ \nu _{\tau })$$, $$R^{l}_{\pi }$$, $$R_{D^{(*)}}$$, $$R_{J/\psi }$$ and $$F_{L}^{D^{*}}$$ anomalies and investigate their New Physics effects on several observables relative to the $$\Xi _{b}\rightarrow \Lambda (\Xi _{c})\tau ^{-}\bar{\nu }_{\tau }$$ decays. We mention the differential branching fraction $${\text {d}}Br/{\text {d}}q^2$$, the ratio of branching fractions $$R(q^2)$$, the lepton-side forward–backward asymmetry $$A_{FB}(q^2)$$, the longitudinal polarization $$P_{L}^{\Lambda (\Xi _{c})}(q^2)$$ of the daughter baryons $$\Lambda (\Xi _{c})$$ and $$P_{L}^{\tau }(q^2)$$ of the $$\tau $$ lepton, and the convexity parameter $$C_{F}(q^2)$$.