Scalar and tensor glueball decay rates from the Witten-Sakai-Sugimoto model

TL;DR

This paper uses the Witten-Sakai-Sugimoto holographic model to predict decay rates of scalar and tensor glueballs, showing good agreement with observed decay patterns and providing insights into their observability.

Contribution

It offers the first detailed holographic predictions for glueball decay rates, including effects of finite quark masses and decay widths for tensor glueballs.

Findings

Scalar glueball decay rates match observed patterns

Tensor glueballs are broad and likely unobservable at certain masses

Pseudoscalar glueball may be a narrow state

Abstract

The holographic Witten-Sakai-Sugimoto model is an almost parameter-free approximation to large-N QCD with chiral quarks that in a number of cases gives surprisingly good quantitative results for light meson physics. It also allows for predictions of the decay rates of glueballs into pseudoscalar and vector mesons through the coupling of modes on the flavor branes to the massive gravitational modes in the bulk. Including effects from finite quark masses leads to an enhancement of the decay of scalar glueballs into heavier pseudoscalars in good agreement with the decay pattern observed for the scalar glueball candidate f0(1710). Tensor glueballs are found to have a large width when their masses are above the 2 rho and 2 K* thresholds. With a mass as suggested by lattice gauge theory the lowest tensor glueball appears to be too broad to be observable, in contrast to the pseudoscalar glueball which may be a rather narrow state.