A comprehensive study of $B$, $B_s$ and $B_c$ meson semitauonic modes in potential quark model

Fuente: arXiv
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Autore principale: Patnaik, Sonali
Natura: Preprint
Pubblicazione: 2025
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author Patnaik, Sonali
author_facet Patnaik, Sonali
contents In this work, we derive the form factors and compute the branching fractions for the semitauonic decay modes, $B \to D^{(*)}\,τ\,ν_τ$, $B_s \to D_s^{(*)}\,τ\,ν_τ$, $B_c \to η_c\,(J/ψ)\,τ\,ν_τ$, and $B_c \to D^{(*)}\,τ\,ν_τ$ within the \emph{Relativistic Independent Quark (RIQ) Model}, emphasizing a quark potential model based analysis of these transitions. We outline the essential elements of the model, incorporating corrections from residual interactions and center-of-mass motion, and perform a comprehensive study of the form factors across the full physical kinematic range of $q^2$. The resulting predictions demonstrate consistency and good agreement with existing theoretical approaches and experimental measurements. Motivated by recent observations of polarization observables at LHCb and Belle, we further evaluate these quantities within our framework and find results compatible with Standard Model (SM) expectations. The predictions presented here serve as theoretical input in decay channels for which Lattice QCD results remain limited, offering guidance for future experimental and Lattice efforts. Thus, semileptonic $B$ decays continue to serve as precise and discerning probes of the fundamental mechanisms governing flavor transitions in the SM.
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publishDate 2025
record_format arxiv
spellingShingle A comprehensive study of $B$, $B_s$ and $B_c$ meson semitauonic modes in potential quark model
Patnaik, Sonali
High Energy Physics - Phenomenology
In this work, we derive the form factors and compute the branching fractions for the semitauonic decay modes, $B \to D^{(*)}\,τ\,ν_τ$, $B_s \to D_s^{(*)}\,τ\,ν_τ$, $B_c \to η_c\,(J/ψ)\,τ\,ν_τ$, and $B_c \to D^{(*)}\,τ\,ν_τ$ within the \emph{Relativistic Independent Quark (RIQ) Model}, emphasizing a quark potential model based analysis of these transitions. We outline the essential elements of the model, incorporating corrections from residual interactions and center-of-mass motion, and perform a comprehensive study of the form factors across the full physical kinematic range of $q^2$. The resulting predictions demonstrate consistency and good agreement with existing theoretical approaches and experimental measurements. Motivated by recent observations of polarization observables at LHCb and Belle, we further evaluate these quantities within our framework and find results compatible with Standard Model (SM) expectations. The predictions presented here serve as theoretical input in decay channels for which Lattice QCD results remain limited, offering guidance for future experimental and Lattice efforts. Thus, semileptonic $B$ decays continue to serve as precise and discerning probes of the fundamental mechanisms governing flavor transitions in the SM.
title A comprehensive study of $B$, $B_s$ and $B_c$ meson semitauonic modes in potential quark model
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2512.05628