Two-body nonleptonic decays of the heavy mesons in the factorization approach

TL;DR

This paper calculates branching fractions for 100 two-body nonleptonic heavy meson decays using the factorization approach, incorporating form factors from a relativistic quark model and testing the large N limit for charm decays.

Contribution

It provides a comprehensive calculation of nonleptonic decay branching fractions for charm and bottom mesons, including penguin contributions for bottom decays, and tests the large N limit in charm decays.

Findings

Predictions for branching fractions are generally acceptable.

Large N limit improves charm decay predictions.

Form factors are validated against semileptonic decay data.

Abstract

In the framework of the factorization approach we calculate the branching fractions of 100 two-body nonleptonic decay channels in total, including 44 channels of the charm meson decays and 56 channels of the bottom meson decays. For charm meson decays, we test and confirm the previous observation that taking the limit for the number of colors $N\to\infty$ significantly improves theoretical predictions. For bottom meson decays, the penguin contributions are included in addition. As an essential input, we employ the weak decay form factors obtained in the framework of the relativistic quark model based on the quasi-potential approach. These form factors have well been tested by calculating observables in the semileptonic $D$ and $B$ meson decays and confronting obtained results with experimental data. In general, the predictions for the nonleptonic decay branching fractions are acceptable. However, for a quantitative calculation it is necessary to account for a more subtle effects of the final-state interaction.