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Main Authors: Zuo, Ya-Bing, Zou, Jia-Yu, Liang, Shi-Yu, Li, Ming-Ge, Hu, Shan-Shan
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2503.12414
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author Zuo, Ya-Bing
Zou, Jia-Yu
Liang, Shi-Yu
Li, Ming-Ge
Hu, Shan-Shan
author_facet Zuo, Ya-Bing
Zou, Jia-Yu
Liang, Shi-Yu
Li, Ming-Ge
Hu, Shan-Shan
contents In this study, the nonleptonic two-body $B$ decays into two tensor mesons (including $a_2(1320)$, $K^*_2(1430)$, $f_2(1270)$, $f^\prime_2(1525)$, 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 $B \rightarrow \{a_2 f^\prime_2, f_2 f^\prime_2\}$, $\{a_2f_2, f_2 f_2\}$ and $\{f_2 K^*_2, K^*_2f^\prime_2\}$ are at the order of $10^{-8}$, $10^{-7}$ and $10^{-6}$, 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 $10^{-8} - 10^{-7}$ and $10^{-7} - 10^{-6}$, respectively. The longitudinal polarization fractions are approximately $0.7-1$. Especially, for the $\bar{B}^0/B^0 \rightarrow \{K^{*-}_2 K^{*+}_2, f^\prime_2 f^\prime_2\}$ decays, the longitudinal polarization fractions are equal to $1$. The CP asymmetry for the $B^\pm \rightarrow a^\pm_2 f_2$ modes is most significant, roughly $-22\%$. The CP asymmetries for the decays $B \rightarrow \{a_2 f^\prime_2, f_2 f^\prime_2, f^\prime_2 f^\prime_2\}$ and $\bar{B}^0/B^0 \rightarrow K^{*-}_2 K^{*+}_2$ are equal to zero. Our results may be tested by more precise experiments in the future.
format Preprint
id arxiv_https___arxiv_org_abs_2503_12414
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle $B \rightarrow TT$ decays in the QCD factorization approach
Zuo, Ya-Bing
Zou, Jia-Yu
Liang, Shi-Yu
Li, Ming-Ge
Hu, Shan-Shan
High Energy Physics - Phenomenology
In this study, the nonleptonic two-body $B$ decays into two tensor mesons (including $a_2(1320)$, $K^*_2(1430)$, $f_2(1270)$, $f^\prime_2(1525)$, 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 $B \rightarrow \{a_2 f^\prime_2, f_2 f^\prime_2\}$, $\{a_2f_2, f_2 f_2\}$ and $\{f_2 K^*_2, K^*_2f^\prime_2\}$ are at the order of $10^{-8}$, $10^{-7}$ and $10^{-6}$, 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 $10^{-8} - 10^{-7}$ and $10^{-7} - 10^{-6}$, respectively. The longitudinal polarization fractions are approximately $0.7-1$. Especially, for the $\bar{B}^0/B^0 \rightarrow \{K^{*-}_2 K^{*+}_2, f^\prime_2 f^\prime_2\}$ decays, the longitudinal polarization fractions are equal to $1$. The CP asymmetry for the $B^\pm \rightarrow a^\pm_2 f_2$ modes is most significant, roughly $-22\%$. The CP asymmetries for the decays $B \rightarrow \{a_2 f^\prime_2, f_2 f^\prime_2, f^\prime_2 f^\prime_2\}$ and $\bar{B}^0/B^0 \rightarrow K^{*-}_2 K^{*+}_2$ are equal to zero. Our results may be tested by more precise experiments in the future.
title $B \rightarrow TT$ decays in the QCD factorization approach
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2503.12414