Radiative Leptonic Decays of the charged $B$ and $D$ Mesons Including Long-Distance Contribution

TL;DR

This paper investigates the radiative leptonic decays of charged B and D mesons, incorporating both short-distance effects via a relativistic quark model and long-distance effects through vector meson dominance, to provide a comprehensive decay analysis.

Contribution

It combines relativistic quark model calculations with vector meson dominance to include both short- and long-distance contributions in decay predictions.

Findings

Quantitative estimates of decay rates including long-distance effects.

Enhanced understanding of decay mechanisms in heavy mesons.

Potential implications for experimental measurements of rare decays.

Abstract

In this work we study the radiative leptonic decays of $B^-$, $D^-$ and $D_s^-\to \gamma l \bar{\nu}$, including both the short-distance and long-distance contributions. The short-distance contribution is calculated by using the relativistic quark model, where the bound state wave function we used is that obtained in the relativistic potential model. The long-distance contribution is estimated by using vector meson dominance model.