Dispersive analysis of the decay $\eta$ -> 3 $\pi$

We demonstrate that the decay eta -> 3 pi represents a sensitive probe for the breaking of chiral symmetry by the quark masses. The transition amplitude is proportional to the mass ratio (m_d^2-m_u^2)/(m_s^2-m^2). The factor of proportionality is calculated by means of dispersion relations, using...

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Detalles Bibliográficos
Autores principales: Anisovich, A.V., Leutwyler, H.
Lenguaje:eng
Publicado: 1996
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(96)00192-X
http://cds.cern.ch/record/293997
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author Anisovich, A.V.
Leutwyler, H.
author_facet Anisovich, A.V.
Leutwyler, H.
author_sort Anisovich, A.V.
collection CERN
description We demonstrate that the decay eta -> 3 pi represents a sensitive probe for the breaking of chiral symmetry by the quark masses. The transition amplitude is proportional to the mass ratio (m_d^2-m_u^2)/(m_s^2-m^2). The factor of proportionality is calculated by means of dispersion relations, using chiral perturbation theory to determine the subtraction constants. The theoretical uncertainties in the result are shown to be remarkably small, so that eta-decay may be used to accurately measure this ratio of quark masses.
id cern-293997
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1996
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spelling cern-2939972021-07-15T23:57:53Zdoi:10.1016/0370-2693(96)00192-Xhttp://cds.cern.ch/record/293997engAnisovich, A.V.Leutwyler, H.Dispersive analysis of the decay $\eta$ -> 3 $\pi$Particle Physics - PhenomenologyWe demonstrate that the decay eta -> 3 pi represents a sensitive probe for the breaking of chiral symmetry by the quark masses. The transition amplitude is proportional to the mass ratio (m_d^2-m_u^2)/(m_s^2-m^2). The factor of proportionality is calculated by means of dispersion relations, using chiral perturbation theory to determine the subtraction constants. The theoretical uncertainties in the result are shown to be remarkably small, so that eta-decay may be used to accurately measure this ratio of quark masses.We demonstrate that the decay η → 3π represents a sensitive probe for the breaking of chiral symmetry by the quark masses. The transition amplitude is proportional to the mass ratio (m d 2 − m u 2 ) (m s 2 − m ̂ 2 ) . The factor of proportionality is calculated by means of dispersion relations, using chiral perturbation theory to determine the subtraction constants. The theoretical uncertainties in the result are shown to be remarkably small, so that η-decay may be used to accurately measure this ratio of quark masses.We demonstrate that the decay eta -> 3 pi represents a sensitive probe for the breaking of chiral symmetry by the quark masses. The transition amplitude is proportional to the mass ratio (m_d^2-m_u^2)/(m_s^2-m^2). The factor of proportionality is calculated by means of dispersion relations, using chiral perturbation theory to determine the subtraction constants. The theoretical uncertainties in the result are shown to be remarkably small, so that eta-decay may be used to accurately measure this ratio of quark masses.hep-ph/9601237BUTP-95-2BUTP-95-2oai:cds.cern.ch:2939971996-01-10
spellingShingle Particle Physics - Phenomenology
Anisovich, A.V.
Leutwyler, H.
Dispersive analysis of the decay $\eta$ -> 3 $\pi$
title Dispersive analysis of the decay $\eta$ -> 3 $\pi$
title_full Dispersive analysis of the decay $\eta$ -> 3 $\pi$
title_fullStr Dispersive analysis of the decay $\eta$ -> 3 $\pi$
title_full_unstemmed Dispersive analysis of the decay $\eta$ -> 3 $\pi$
title_short Dispersive analysis of the decay $\eta$ -> 3 $\pi$
title_sort dispersive analysis of the decay $\eta$ -> 3 $\pi$
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/0370-2693(96)00192-X
http://cds.cern.ch/record/293997
work_keys_str_mv AT anisovichav dispersiveanalysisofthedecayeta3pi
AT leutwylerh dispersiveanalysisofthedecayeta3pi

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