Radiative $η'$ Decays, the Topological Susceptibility and the Witten-Veneziano Mass Formula

Details Radiative $η'$ Decays, the Topological Susceptibility and the Witten-Veneziano Mass Formula Radiative $η'$ Decays, the Topological Susceptibility and the Witten-Veneziano Mass Formula

1999-08-02

arxiv.org/abs/hep-ph/9908217v1

Nucl.Phys. B569 (2000) 107-124

Physics

High Energy Physics

High Energy Physics - Phenomenology

TeX, 21 pages, no figures, uses harvmac

Scientific paper

10.1016/S0550-3213(99)00623-9

The formulae describing the radiative decays $\eta'(\eta)\rta\c\c$ in QCD beyond the chiral limit are derived. The modifications of the conventional PCAC formulae due to the gluonic contribution to the axial anomaly in the flavour singlet channel are precisely described. The decay constants are found to satisfy a modified Dashen formula which generalises the Witten--Veneziano formula for the mass of the $\eta'$. Combining these results, it is shown how the topological susceptibility in QCD with massive, dynamical quarks may be extracted from measurements of $\eta'(\eta)\rta\c\c$.

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