Chiral extrapolation of the sigma and rho mesons from dispersion relations and Chiral Perturbation Theory

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dc.creatorRíos, G.
dc.creatorNicola, A. Gómez
dc.creatorHanhart, C.
dc.creatorPeláez, J. R.
dc.date2008-03-31
dc.date.accessioned2026-07-07T11:49:27Z
dc.date.available2026-07-07T11:49:27Z
dc.descriptionWe review our recent study of the pion mass dependence of the rho and sigma resonances, generated from one-loop SU(2) Chiral Perturbation Theory (ChPT) with the Inverse Amplitude Method (IAM). In order to properly account for the Adler zero region, we also review the recently obtained modified version of the IAM; which is based on analyticity, elastic unitarity and ChPT at low energies, thus yielding the correct pion mass dependence of the resonance pole positions up to next-to-leading order in ChPT. As main results we find that the rho-pi-pi coupling constant is almost pion mass independent and that the rho mass shows a smooth pion mass dependence while that of the sigma shows a strong non-analyticity. These findings are important for studies of the meson spectrum on the lattice.
dc.description5 pages, 4 figures, to appear in the proceedings of the "Scalar Mesons and Related Topics" workshop. Lisbon, February 11-16, 2008
dc.identifierhttps://arxiv.org/abs/0803.4318
dc.identifierhttp://arxiv.org/abs/0803.4318
dc.identifierAIPConf.Proc.1030:268-272,2008
dc.identifierdoi:10.1063/1.2973511
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203238
dc.subjectHigh Energy Physics - Phenomenology
dc.titleChiral extrapolation of the sigma and rho mesons from dispersion relations and Chiral Perturbation Theory
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