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Radiative $\eta{'}$ Decays, the Topological Susceptibility and the Witten-Veneziano Mass Formula
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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| Lenguaje: | eng |
| Publicado: |
1999
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| Acceso en línea: | http://cds.cern.ch/record/395520 |
| _version_ | 1780893875937738752 |
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| author | Shore, Graham M |
| author_facet | Shore, Graham M |
| author_sort | Shore, Graham M |
| collection | CERN |
| description | 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 $\eta'(\eta)\rta\c\c$. |
| id | cern-395520 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1999 |
| record_format | invenio |
| spelling | cern-3955202019-09-30T06:29:59Zhttp://cds.cern.ch/record/395520engShore, Graham MRadiative $\eta{'}$ Decays, the Topological Susceptibility and the Witten-Veneziano Mass FormulaParticle Physics - PhenomenologyThe 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 $\eta'(\eta)\rta\c\c$.hep-ph/9908217CERN-TH-99-233SWAT-234oai:cds.cern.ch:3955201999-08-03 |
| spellingShingle | Particle Physics - Phenomenology Shore, Graham M Radiative $\eta{'}$ Decays, the Topological Susceptibility and the Witten-Veneziano Mass Formula |
| title | Radiative $\eta{'}$ Decays, the Topological Susceptibility and the Witten-Veneziano Mass Formula |
| title_full | Radiative $\eta{'}$ Decays, the Topological Susceptibility and the Witten-Veneziano Mass Formula |
| title_fullStr | Radiative $\eta{'}$ Decays, the Topological Susceptibility and the Witten-Veneziano Mass Formula |
| title_full_unstemmed | Radiative $\eta{'}$ Decays, the Topological Susceptibility and the Witten-Veneziano Mass Formula |
| title_short | Radiative $\eta{'}$ Decays, the Topological Susceptibility and the Witten-Veneziano Mass Formula |
| title_sort | radiative $\eta{'}$ decays, the topological susceptibility and the witten-veneziano mass formula |
| topic | Particle Physics - Phenomenology |
| url | http://cds.cern.ch/record/395520 |
| work_keys_str_mv | AT shoregrahamm radiativeetadecaysthetopologicalsusceptibilityandthewittenvenezianomassformula |