Systematic study of light and charm meson M1 radiative transitions

TL;DR

This paper provides a comprehensive theoretical analysis of light and charm meson M1 radiative transitions, combining effective mass schemes and potential models to predict decay widths and analyze QCD effects.

Contribution

It introduces a combined approach using effective mass schemes and potential models to accurately predict M1 decay widths of mesons, incorporating recent experimental data and higher-order QCD corrections.

Findings

Accurate predictions of M1 decay widths for charmed mesons.

Identification of the significant role of higher-order QCD corrections.

Systematic analysis of scale-dependent effects in meson transition calculations.

Abstract

Motivated by recent experimental advancements in the study of radiative decays of charmed mesons, we investigate the magnetic (transition) moments of vector mesons by applying the effective mass scheme, obtained from the one-gluon exchange interaction between quark-antiquark pairs. By incorporating high-precision experimental data from both heavy and light flavor sectors, we accurately account for the strong hyperfine interaction contributions to the quark and antiquark masses within mesons. We calculate the $V \to P$ effective transition magnetic moments to reliably predict M1 decay widths. Furthermore, to enhance the completeness of our analysis, we employ the non-relativistic potential model to calculate bound state isomultiplet masses and to predict the M1 decay widths of charmed mesons. Additionally, scale-dependent effects in both the effective mass scheme and the potential model are systematically analyzed and interpreted, emphasizing the decisive role of higher-order QCD corrections in determining M1 decay widths.