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The Anomalous Process $\gamma\pi \to \pi\pi$ and its Impact on the $\pi^0$ Transition Form Factor
The process γπ → ππ, in the limit of vanishing photon and pion energies, is determined by the chiral anomaly. This reaction can be investigated experimentally using Primakoff reactions, as currently done at COMPASS. We derive a dispersive representation that allows one to extract the chiral anomaly...
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Lenguaje: | eng |
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2014
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Acceso en línea: | https://dx.doi.org/10.1142/S2010194514603974 http://cds.cern.ch/record/2025906 |
_version_ | 1780947242160488448 |
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author | Kubis, Bastian |
author_facet | Kubis, Bastian |
author_sort | Kubis, Bastian |
collection | CERN |
description | The process γπ → ππ, in the limit of vanishing photon and pion energies, is determined by the chiral anomaly. This reaction can be investigated experimentally using Primakoff reactions, as currently done at COMPASS. We derive a dispersive representation that allows one to extract the chiral anomaly from cross-section measurements up to 1 GeV, where effects of the ρ resonance are included model-independently via the ππ P-wave phase shift. We discuss how this amplitude serves as an important input to a dispersion-theoretical analysis of the π0 transition form factor, which in turn is a vital ingredient to the hadronic light-by-light contribution to the anomalous magnetic moment of the muon. |
id | oai-inspirehep.net-1337591 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2014 |
record_format | invenio |
spelling | oai-inspirehep.net-13375912019-09-30T06:29:59Zdoi:10.1142/S2010194514603974http://cds.cern.ch/record/2025906engKubis, BastianThe Anomalous Process $\gamma\pi \to \pi\pi$ and its Impact on the $\pi^0$ Transition Form FactorParticle Physics - PhenomenologyThe process γπ → ππ, in the limit of vanishing photon and pion energies, is determined by the chiral anomaly. This reaction can be investigated experimentally using Primakoff reactions, as currently done at COMPASS. We derive a dispersive representation that allows one to extract the chiral anomaly from cross-section measurements up to 1 GeV, where effects of the ρ resonance are included model-independently via the ππ P-wave phase shift. We discuss how this amplitude serves as an important input to a dispersion-theoretical analysis of the π0 transition form factor, which in turn is a vital ingredient to the hadronic light-by-light contribution to the anomalous magnetic moment of the muon.oai:inspirehep.net:13375912014 |
spellingShingle | Particle Physics - Phenomenology Kubis, Bastian The Anomalous Process $\gamma\pi \to \pi\pi$ and its Impact on the $\pi^0$ Transition Form Factor |
title | The Anomalous Process $\gamma\pi \to \pi\pi$ and its Impact on the $\pi^0$ Transition Form Factor |
title_full | The Anomalous Process $\gamma\pi \to \pi\pi$ and its Impact on the $\pi^0$ Transition Form Factor |
title_fullStr | The Anomalous Process $\gamma\pi \to \pi\pi$ and its Impact on the $\pi^0$ Transition Form Factor |
title_full_unstemmed | The Anomalous Process $\gamma\pi \to \pi\pi$ and its Impact on the $\pi^0$ Transition Form Factor |
title_short | The Anomalous Process $\gamma\pi \to \pi\pi$ and its Impact on the $\pi^0$ Transition Form Factor |
title_sort | anomalous process $\gamma\pi \to \pi\pi$ and its impact on the $\pi^0$ transition form factor |
topic | Particle Physics - Phenomenology |
url | https://dx.doi.org/10.1142/S2010194514603974 http://cds.cern.ch/record/2025906 |
work_keys_str_mv | AT kubisbastian theanomalousprocessgammapitopipianditsimpactonthepi0transitionformfactor AT kubisbastian anomalousprocessgammapitopipianditsimpactonthepi0transitionformfactor |