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η′(η) → γγ : A Tale of Two Anomalies

G. M. Shore, Graham Shore

Phys. Scripta, Volume: T99, Pages: 84 - 95

Swansea University Author: Graham Shore

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DOI (Published version): 10.1238/Physica.Topical.099a00084

Abstract

The radiative decays of the pseudoscalar mesons P = (π0,η,η′) are of special interest as they provide an experimental window on the electromagnetic and colour chiral UA(1) anomalies. π0 → γγ is well described by the electromagnetic UA(1) anomaly under the assumption that π0 is a Goldstone boson for...

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Published in: Phys. Scripta
Published: 2002
URI: https://cronfa.swan.ac.uk/Record/cronfa17512
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spelling 2014-03-24T13:58:00.6241948 v2 17512 2014-03-21 η′(η) → γγ : A Tale of Two Anomalies 28a24f55687c82d6f3ee378ead3cf234 Graham Shore Graham Shore true false 2014-03-21 FGSEN The radiative decays of the pseudoscalar mesons P = (π0,η,η′) are of special interest as they provide an experimental window on the electromagnetic and colour chiral UA(1) anomalies. π0 → γγ is well described by the electromagnetic UA(1) anomaly under the assumption that π0 is a Goldstone boson for spontaneously broken chiral symmetry, but the analogous results for η′(η) → γγ are complicated by the colour UA(1) anomaly in QCD. This paper reviews the theory of η′(η) → γγ decays, emphasising the role of the colour UA(1) anomaly and the renormalisation group. The relation to the Witten-Veneziano mass formula for the η′ and the QCD topological susceptibility is derived. The implications for the phenomenological analysis of P → γγ are described and a proposal is made for a comprehensive re-analysis of existing data on P → γγ, P → V γ, where V = (ρ, ω, φ) is a light 1− meson, η′(η) → ππγ, ψ → η′(η)γ, etc. Other applications, to the muon anomalous magnetic moment gμ − 2 and the determination of the photon structure function g1γ in polarised deep inelastic scattering, are also briefly discussed. Journal Article Phys. Scripta T99 84 95 4 3 2002 2002-03-04 10.1238/Physica.Topical.099a00084 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2014-03-24T13:58:00.6241948 2014-03-21T10:44:18.1733964 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics G. M. Shore 1 Graham Shore 2
title η′(η) → γγ : A Tale of Two Anomalies
spellingShingle η′(η) → γγ : A Tale of Two Anomalies
Graham Shore
title_short η′(η) → γγ : A Tale of Two Anomalies
title_full η′(η) → γγ : A Tale of Two Anomalies
title_fullStr η′(η) → γγ : A Tale of Two Anomalies
title_full_unstemmed η′(η) → γγ : A Tale of Two Anomalies
title_sort η′(η) → γγ : A Tale of Two Anomalies
author_id_str_mv 28a24f55687c82d6f3ee378ead3cf234
author_id_fullname_str_mv 28a24f55687c82d6f3ee378ead3cf234_***_Graham Shore
author Graham Shore
author2 G. M. Shore
Graham Shore
format Journal article
container_title Phys. Scripta
container_volume T99
container_start_page 84
publishDate 2002
institution Swansea University
doi_str_mv 10.1238/Physica.Topical.099a00084
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 0
active_str 0
description The radiative decays of the pseudoscalar mesons P = (π0,η,η′) are of special interest as they provide an experimental window on the electromagnetic and colour chiral UA(1) anomalies. π0 → γγ is well described by the electromagnetic UA(1) anomaly under the assumption that π0 is a Goldstone boson for spontaneously broken chiral symmetry, but the analogous results for η′(η) → γγ are complicated by the colour UA(1) anomaly in QCD. This paper reviews the theory of η′(η) → γγ decays, emphasising the role of the colour UA(1) anomaly and the renormalisation group. The relation to the Witten-Veneziano mass formula for the η′ and the QCD topological susceptibility is derived. The implications for the phenomenological analysis of P → γγ are described and a proposal is made for a comprehensive re-analysis of existing data on P → γγ, P → V γ, where V = (ρ, ω, φ) is a light 1− meson, η′(η) → ππγ, ψ → η′(η)γ, etc. Other applications, to the muon anomalous magnetic moment gμ − 2 and the determination of the photon structure function g1γ in polarised deep inelastic scattering, are also briefly discussed.
published_date 2002-03-04T03:20:14Z
_version_ 1763750564811767808
score 11.013148

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