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Failure of Breit-Wigner and success of dispersive descriptions of the τ-→ K-ηντdecays

2014/01/20 by Pablo Roig, Roig, Pablo
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-ph #nucl-th

paper · pdf · doi:10.48550/arxiv.1401.5038

15 pages, 3 figures, 6 tables. Contribution to the Proceedings of the XIV Mexican Workshop on Particles and Fields held in Oaxaca, 25-29, November, 2013. To be published by the Institute of Physics (IOP) in the Journal of Conference Series

arxiv created 2014/01/20 · openalex publication_date 2014/01/20 · arxiv updated 2014/01/21 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28

Abstract

The τ-→ K-ηντdecays have been studied using Chiral Perturbation Theory extended by including resonances as active fields. We have found that the treatment of final state interactions is crucial to provide a good description of the data. The Breit-Wigner approximation does not resum them and neglects the real part of the corresponding chiral loop functions, which violates analyticity and leads to a failure in the confrontation with the data. On the contrary, its resummation by means of an Omnès-like exponentiation of through a dispersive representation provides a successful explanation of the measurements. These results illustrate the fact that Breit-Wigner parametrizations of hadronic data, although simple and easy to handle, lack a link with the underlying strong interaction theory and should be avoided. As a result of our analysis we determine the properties of the K*(1410) resonance with a precision competitive to its traditional extraction using τ-→ (Kπ)-ντdecays, albeit the much limited statistics accumulated for the τ-→ K-ηντchannel. We also predict the soon discovery of the τ-→ K-η'ντdecays.

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