On the role of meson loops in the $f_0(1710)$ decay into $V\gamma$

TL;DR

This paper examines the significance of meson loop contributions in the decay of the $f_0(1710)$ scalar meson into a photon and a vector meson, highlighting their importance in understanding the resonance's nature.

Contribution

It provides an estimation of meson loop effects in $f_0(1710)$ radiative decays, emphasizing their relevance in theoretical models testing the resonance's glueball characteristics.

Findings

Meson loops significantly affect $f_0(1710)$ decay into $V\,\gamma$

Loop contributions are relevant despite large uncertainties

Results support including meson loops in decay analyses

Abstract

We investigate the relevance of the meson loops in the $f_0(1710)$ scalar meson decay into one photon and one vector meson, ($\rho$, $\omega$ and $\phi$). In particular we estimate the size of the loops coming from the decay of the $f_0(1710)$ into two pseudoscalar mesons, containing three pseudoscalar mesons in the loop or two pseudoscalar and one vector meson. The results, despite having large uncertainties, manifest that the contribution of the meson loops to these radiative decays is quite relevant and should be taken into account by the theoretical calculations which use this observables as a test of the possible glueball nature of this resonance.