Nonleptonic charmless two-body B decays involving tensor mesons in the covariant light-front approach

TL;DR

This paper recalculates branching ratios for nonleptonic charmless B decays involving tensor mesons using the covariant light-front approach, resolving discrepancies with experimental data and improving upon previous models.

Contribution

It introduces the covariant light-front approach for form factors in B decays involving tensor mesons, providing more accurate predictions aligned with experimental results.

Findings

Predicted branching ratios are generally higher than previous models.

Results for B→ηK2* and B→ϕK2* align with recent experiments.

The approach improves agreement with experimental data.

Abstract

We reanalyzed nonleptonic charmless two-body B decays involving tensor mesons in final state motivated by the disagreement between current experimental information and theoretical predictions obtained in ISGW2 model for some $\mathcal{B}(B \to P(V)T)$ (where $P$, $V$ and $T$ denote a pseudoscalar, a vector and a tensor meson, respectively). We have calculated branching ratios of charmless $B \to PT$ and $B\to VT$ modes, using $B \to T$ form factors obtained in the covariant light-front (CLF) approach and the full effective Hamiltonian. We have considered the $\eta-\eta^{\prime}$ two-mixing angle formalism for $B \to \eta^{(\prime)}T$ channels, which increases branching ratios for these processes. Our predictions obtained in the CLF approach are, in general, greater than those computed in the framework of the ISGW2 model and more favorable with the available experimental data. Specifically, our results for exclusive channels $B \to \eta K_{2}^{*}(1430)$ and $B \to \phi K_{2}^{*}(1430)$ are in agreement with recent experimental information.