Weak decays of $B_s$ to $D_s$ based on the helicity analysis

Fuente: arXiv
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Auteur principal: Rahmani, Sara
Format: Preprint
Publié: 2024
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author Rahmani, Sara
author_facet Rahmani, Sara
contents Employing dipole and exponential hadronic transition form factors and helicity analysis combined with the Lattice QCD input, we present a detailed study of the decays $B_s \to D_s^{(*)}\ell ν_\ell$. $B_s \to D_s + P(V)$, where $P = π^+, K^+, D_s^+$ and $V = ρ^+, K^{*+}, D_s^{*+}$, are also investigated and their branching fractions are examined. At the large recoil point, we calculate $f_{ + ,0}^{{B_s} \to {D_s}}(0) = 0.67 \pm 0.01$ for both parameterizations. Then we evaluate the branching fractions $BR({B_s} \to {D_s}\ell ν)$ and $BR({B_s} \to {D_s}\ell ν)$, which leads to $R({D_s}) = 0.298 \pm 0.123$. The ratios $\frac{{Γ(B_s^0 \to D_s^ - {μ^ + }{ν_μ})}}{{Γ(B_s^0 \to D_s^{* - }{μ^ + }{ν_μ})}}$ are found to be $0.4415 \pm 0.1860$ and $0.4406 \pm 0.1854$, which are in good agreement of recent LHCb collaboration measurement. We also calculate the physical observables, $A_{FB}^\ell ,P_L^\ell ,P_T^\ell ,C_F^\ell ,F_L^\ell $.
format Preprint
id arxiv_https___arxiv_org_abs_2409_02460
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Weak decays of $B_s$ to $D_s$ based on the helicity analysis
Rahmani, Sara
High Energy Physics - Phenomenology
Employing dipole and exponential hadronic transition form factors and helicity analysis combined with the Lattice QCD input, we present a detailed study of the decays $B_s \to D_s^{(*)}\ell ν_\ell$. $B_s \to D_s + P(V)$, where $P = π^+, K^+, D_s^+$ and $V = ρ^+, K^{*+}, D_s^{*+}$, are also investigated and their branching fractions are examined. At the large recoil point, we calculate $f_{ + ,0}^{{B_s} \to {D_s}}(0) = 0.67 \pm 0.01$ for both parameterizations. Then we evaluate the branching fractions $BR({B_s} \to {D_s}\ell ν)$ and $BR({B_s} \to {D_s}\ell ν)$, which leads to $R({D_s}) = 0.298 \pm 0.123$. The ratios $\frac{{Γ(B_s^0 \to D_s^ - {μ^ + }{ν_μ})}}{{Γ(B_s^0 \to D_s^{* - }{μ^ + }{ν_μ})}}$ are found to be $0.4415 \pm 0.1860$ and $0.4406 \pm 0.1854$, which are in good agreement of recent LHCb collaboration measurement. We also calculate the physical observables, $A_{FB}^\ell ,P_L^\ell ,P_T^\ell ,C_F^\ell ,F_L^\ell $.
title Weak decays of $B_s$ to $D_s$ based on the helicity analysis
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2409.02460