Useful ratios between two-body nonleptonic and semileptonic decays of B mesons

TL;DR

This paper calculates ratios of decay widths between nonleptonic and semileptonic B meson decays to test the factorization hypothesis, providing theoretical expressions and numerical estimates across various meson states.

Contribution

It offers a comprehensive analysis of decay width ratios for multiple B meson decay channels using different quark models, aiding experimental validation of factorization.

Findings

Calculated decay width ratios for various B decay channels.

Provided decay width expressions including excited meson states.

Assessed the impact of different quark models on decay predictions.

Abstract

We compute important ratios between decay widths of some exclusive two-body nonleptonic and semileptonic B decays, which could be test of factorization hy- pothesis. We also present a summary of the expressions of the decay widths and differential decay rates of these decays, at tree level, including l = 0 (ground state), l = 1 (orbitally excited) and n = 2 (radially excited) mesons in the fi- nal state. From a general point of view, we consider eight transitions, namely H \rightarrow P, V, S, A, A, T, P (2S), V (2S). Our analysis is carried out assuming factorization hypothesis and using the WSB, ISGW and CLFA quark models.