to light tensor meson form factors via LCSR in HQEFT and relevant semileptonic decays

Ya-Bing Zuo; Jia-Li Zhu; Shan-Shan Hu; Cheng-Cheng Liu; Jia-Yu Zou

doi:10.1140/epjc/s10052-024-12455-9

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 109
https://doi.org/10.1140/epjc/s10052-024-12455-9

Regular Article - Theoretical Physics

$B_{(s)}$ $B_{(s)}$ to light $2^{- -}$ $2^{--}$ tensor meson form factors via LCSR in HQEFT and relevant semileptonic decays

Ya-Bing Zuo¹^,2^a, Jia-Li Zhu¹^,2, Shan-Shan Hu¹^,2, Cheng-Cheng Liu¹^,2 and Jia-Yu Zou¹^,2

¹ Department of Physics, Liaoning Normal University, 116029, Dalian, People’s Republic of China
² Center for Theoretical and Experimental High Energy Physics, Liaoning Normal University, 116029, Dalian, People’s Republic of China

^a zuoyabing@lnnu.edu.cn

Received: 18 October 2023
Accepted: 17 January 2024
Published online: 1 February 2024

Abstract

In this study, the form factors of $B_{(s)}$ $B_{(s)}$ to light D-wave tensor mesons with $J^{PC} = 2^{- -}$ $J^{PC} = 2^{--}$ ( $ρ_{2}$ $\rho _2$ , $ω_{2}$ $\omega _2$ , $K_{2}$ $$K_2$$ and $ϕ_{2}$ $\phi _2$ ) are calculated via the light cone sum rules (LCSR) in the framework of heavy quark effective eld theory (HQEFT). Firstly, the expressions of form factors in terms of the light cone distribution amplitudes (LCDAs) of tensor mesons are derived via the LCSR at the leading order of heavy quark expansion. Similar to the case of $2^{+ +}$ $2^{++}$ tensor mesons, the penguin type form factors can be obtained directly from the corresponding semileptonic ones. Considering the light tensor meson LCDAs to twist-3 and quark mass corrections, we give the numerical results of form factors systematically. Based on the form factors given here, we investigate the branching ratios, longitudinal polarization fractions and forward-backward asymmetries of relevant charged current induced semileptonic decays. Our results may be tested by more precise experiments in the future.

© The Author(s) 2024

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