Witten-Veneziano mechanism and pseudoscalar glueball-meson mixing in holographic QCD

TL;DR

This paper revisits the $U(1)_A$ anomaly in holographic QCD, deriving the Witten-Veneziano mechanism and exploring pseudoscalar glueball-meson mixing, predicting dominant decay channels and discussing production processes.

Contribution

It provides a new derivation of the Witten-Veneziano mechanism and analyzes pseudoscalar glueball-meson mixing in the holographic QCD model.

Findings

Pseudoscalar glueballs predominantly decay into two vector mesons.

Mixing enhances decay vertices compared to previous models.

Discussion on pseudoscalar glueball production in specific processes.

Abstract

We revisit the $U(1)_A$ anomaly in the holographic model of low-energy QCD by Witten, Sakai, and Sugimoto, presenting a new and direct derivation of the Witten-Veneziano mechanism for generating the mass of the $\eta'$ through an anomalous mixing of the Ramond-Ramond $C_1$ field with the singlet component of the pseudoscalar mesons. The latter turns out to have a kinetic mixing with the normalizable modes of the $C_1$ field representing pseudoscalar glueballs, yielding additional vertices for their production and their decay that dominate over those of the unmixed case considered previously in the Witten-Sakai-Sugimoto model. The leading channel is predicted to be decay into two vector mesons, followed in importance by decay into three pseudoscalar mesons. The issue of production of pseudoscalar glueballs in radiative $J/\psi$ decays and in double diffractive processes is also discussed briefly.