Abstract
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 brightarrow 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).
Highlights
In the Standard Model (SM), the gauge interactions are lepton flavor universal (LFU), but the hints of lepton flavor universal violation (LFUV) have been observed in several anomalies relative to the semileptonic B meson decays
D(∗) b transitions calculated by [24], we investigate the NP effects of these anomalies on the differential branching fraction dBr/dq2, the ratio of branching fractions R(q2), the leptonside forward–backward asymmetry AFB(q2), the longitudinal polarization PL ( c)(q2) of the daughter baryons ( c) and PLτ (q2) of the τ lepton, and the convexity parameter relative to these baryon decays
This paper we dedicate to a study of the vector and scalar type interactions, excepting the tensor interaction, and we assume that the Wilson coefficients VL,R and SL,R are complex
Summary
In the Standard Model (SM), the gauge interactions are lepton flavor universal (LFU), but the hints of lepton flavor universal violation (LFUV) have been observed in several anomalies relative to the semileptonic B meson decays. We set out to explore the NP effects of these B meson decay anomalies in the b → ( c)τ −ντ transitions. Using the Wilson coefficients of the NP operators constrained from the experimental values for Br FLD∗ anomalies and It is worthwhile to note that our study is different from [23] whose authors investigate the decay b → cτ −ντ using a model-independent approach. We consider the b → u and b → c transitions together in the same framework of effective theory and perform a combined analysis using the constraints on the Wilson coefficients coming from the experimental results for the Br (Bc+ → τ +ντ ), Rπl , RD(∗) , RJ/ψ and FLD∗ anomalies in the end in determining the NP contributions to the observables aforementioned.
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