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### Radiative η′ decays, the topological susceptibility and the Witten–Veneziano mass formula

G.M. Shore, Graham Shore

Nuclear Physics B, Volume: "B569", Issue: 1-3, Pages: 107 - 124

Swansea University Author:

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DOI (Published version): 10.1016/S0550-3213(99)00623-9

Abstract

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...

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Published in: Nuclear Physics B 05503213 1999 https://cronfa.swan.ac.uk/Record/cronfa31900 No Tags, Be the first to tag this record!
Abstract: 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 Faculty of Science and Engineering 1-3 107 124