$B \rightarrow TT$ decays in the QCD factorization approach

Ya-Bing Zuo; Jia-Yu Zou; Shi-Yu Liang; Ming-Ge Li; Shan-Shan Hu

paper

$B \to T T$ decays in the QCD factorization approach

arXiv:2503.12414

Abstract

In this study, the nonleptonic two-body $B$ decays into two tensor mesons (including $a_{2} (1320)$ , $K_{2}^{*} (1430)$ , $f_{2} (1270)$ , $f_{2}^{'} (1525)$ , denoted generically as $T$ ) are investigated in the QCD factorization approach. The branching ratios, longitudinal polarization fractions, and CP asymmetries are predicted systematically. It is found that, from the perspective of central values, the branching ratios for the decays $B \to {a_{2} f_{2}^{'}, f_{2} f_{2}^{'}}$ , ${a_{2} f_{2}, f_{2} f_{2}}$ and ${f_{2} K_{2}^{*}, K_{2}^{*} f_{2}^{'}}$ are at the order of $1 0^{- 8}$ , $1 0^{- 7}$ and $1 0^{- 6}$ , respectively. The branching ratios for the decays into ${a_{2} a_{2}, K_{2}^{*} K_{2}^{*}}$ and $a_{2} K_{2}^{*}$ are at the order of $1 0^{- 8} - 1 0^{- 7}$ and $1 0^{- 7} - 1 0^{- 6}$ , respectively. The longitudinal polarization fractions are approximately $0.7 - 1$ . Especially, for the $B ˉ^{0} / B^{0} \to {K_{2}^{*-} K_{2}^{*+}, f_{2}^{'} f_{2}^{'}}$ decays, the longitudinal polarization fractions are equal to $1$ . The CP asymmetry for the $B^{\pm} \to a_{2}^{\pm} f_{2}$ modes is most significant, roughly $- 22%$ . The CP asymmetries for the decays $B \to {a_{2} f_{2}^{'}, f_{2} f_{2}^{'}, f_{2}^{'} f_{2}^{'}}$ and $B ˉ^{0} / B^{0} \to K_{2}^{*-} K_{2}^{*+}$ are equal to zero. Our results may be tested by more precise experiments in the future.

23 pages,13 tables

B→TT decays in the QCD factorization approach

Abstract

$B \to T T$ decays in the QCD factorization approach