Glueball Decay in the Witten-Sakai-Sugimoto Model and Finite Quark Masses

TL;DR

This paper calculates glueball decay rates in the Witten-Sakai-Sugimoto model, showing that finite quark masses can explain the flavor asymmetric decay of the $f_0(1710)$ meson as a glueball candidate, with results aligning well with experimental data.

Contribution

It introduces the concept of nonchiral enhancement to account for finite quark masses in glueball decay calculations within a holographic model, providing parameter-free predictions.

Findings

Good quantitative agreement with experimental decay rates for $f_0(1710)$

Explanation of flavor asymmetric decay via nonchiral enhancement

Predictions for decay rates involving vector mesons and $ ext{eta} ext{eta'}$ limit

Abstract

We discuss recent results on the calculation of glueball decay rates in the Witten-Sakai-Sugimoto model, which favor the $f_0(1710)$ meson as a glueball candidate. The flavor asymmetric decay of $f_0(1710)$ is frequently attributed to a putative chiral suppression in glueball decays, which is however questionable in view of the large constituent quark masses induced by chiral symmetry breaking. We find that this can be explained by what we call nonchiral enhancement when finite quark masses are included in the holographic model, with good quantitative agreement with experimental data for $f_0(1710)$. Assuming the latter to indeed be a nearly pure glueball, the model makes essentially parameter-free and thus falsifiable predictions for its decay rates involving vector mesons and an upper limit on the $\eta\eta'$ decay rate.