Dispersive analysis of the decay eta -> 3 pi

Details Dispersive analysis of the decay eta -> 3 pi Dispersive analysis of the decay eta -> 3 pi

1996-01-10

arxiv.org/abs/hep-ph/9601237v1

Phys.Lett.B375:335-342,1996

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 1 figure

Scientific paper

10.1016/0370-2693(96)00192-X

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.

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