Semileptonic $B_{c}$ meson decays to S-wave charmonia and $X(3872)$ within the covariant light-front approach

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Autori principali: Sun, Zhi-Jie, Wang, Si-Yang, Zhang, Zhi-Qing, Yang, You-Ya, Zhang, Zi-Yu
Natura: Preprint
Pubblicazione: 2023
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author Sun, Zhi-Jie
Wang, Si-Yang
Zhang, Zhi-Qing
Yang, You-Ya
Zhang, Zi-Yu
author_facet Sun, Zhi-Jie
Wang, Si-Yang
Zhang, Zhi-Qing
Yang, You-Ya
Zhang, Zi-Yu
contents In this work, we investigate the semileptonic decays of $B_{c}$ meson to $η_{c}(1S,2S,3S)$, $ψ(1S,2S,3S)$ and $X(3872)$ within the framework of covariant light-front quark model (CLFQM). We combine the helicity amplitudes via the corresponding form factors to obtain the branching ratios of the semileptonic decays $B_{c}\to η_{c}(1S, 2S, 3S)\ellν_{\ell}$, $B_{c}\to ψ(1S, 2S, 3S))\ellν_{\ell}$ and $B_{c}\to X(3872)\ellν_{\ell}$ with $\ell=e,μ,τ$. In view of the $R_{J/Ψ}$ anomaly released by the LHCb collaboration, it is necessary to calculate the ratios $R_X$ with $X=ψ(1S,2S,3S),η_c(1S,2S,3S),X(3872)$ systematically, which are helpful to check the lepton flavor universality (LFU). Furthermore, we also take into account another two physical observables, one is the longitudinal polarization fraction $f_{L}$ and the other is the forward-backward asymmetry $A_{FB}$, which can provide new clues to understand the $R_{J /Ψ}$ anomaly. Such theoretical predictions are necessary and interesting, which can be tested in the future LHCb experiments.
format Preprint
id arxiv_https___arxiv_org_abs_2308_03114
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Semileptonic $B_{c}$ meson decays to S-wave charmonia and $X(3872)$ within the covariant light-front approach
Sun, Zhi-Jie
Wang, Si-Yang
Zhang, Zhi-Qing
Yang, You-Ya
Zhang, Zi-Yu
High Energy Physics - Phenomenology
High Energy Physics - Experiment
In this work, we investigate the semileptonic decays of $B_{c}$ meson to $η_{c}(1S,2S,3S)$, $ψ(1S,2S,3S)$ and $X(3872)$ within the framework of covariant light-front quark model (CLFQM). We combine the helicity amplitudes via the corresponding form factors to obtain the branching ratios of the semileptonic decays $B_{c}\to η_{c}(1S, 2S, 3S)\ellν_{\ell}$, $B_{c}\to ψ(1S, 2S, 3S))\ellν_{\ell}$ and $B_{c}\to X(3872)\ellν_{\ell}$ with $\ell=e,μ,τ$. In view of the $R_{J/Ψ}$ anomaly released by the LHCb collaboration, it is necessary to calculate the ratios $R_X$ with $X=ψ(1S,2S,3S),η_c(1S,2S,3S),X(3872)$ systematically, which are helpful to check the lepton flavor universality (LFU). Furthermore, we also take into account another two physical observables, one is the longitudinal polarization fraction $f_{L}$ and the other is the forward-backward asymmetry $A_{FB}$, which can provide new clues to understand the $R_{J /Ψ}$ anomaly. Such theoretical predictions are necessary and interesting, which can be tested in the future LHCb experiments.
title Semileptonic $B_{c}$ meson decays to S-wave charmonia and $X(3872)$ within the covariant light-front approach
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
url https://arxiv.org/abs/2308.03114