$η'\toγγ$ and the topological susceptibility

Details $η'\toγγ$ and the topological susceptibility $η'\toγγ$ and the topological susceptibility

1999-08-05

arxiv.org/abs/hep-ph/9908273v1

Nucl.Phys.Proc.Suppl. 86 (2000) 368-371

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, LaTeX, uses espcrc2.sty. To appear in Proceedings, QCD99 Montpellier

Scientific paper

10.1016/S0920-5632(00)00588-0

The radiative decays $\eta'(\eta)\rta\gamma\gamma$ are discussed. The modifications of the conventional PCAC formulae due to the gluonic contribution to the flavour singlet axial anomaly are given. The decay constants satisfy a modified Dashen formula which generalises the Witten--Veneziano formula for the mass of the $\eta'$. It is shown how the topological susceptibility in QCD with massive, dynamical quarks may be extracted from measurements of $\eta'(\eta)\rta\gamma\gamma$.

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