Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory

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dc.creatorHanhart, C.
dc.creatorPelaez, J. R.
dc.creatorRios, G.
dc.date2008-01-18
dc.date2008-04-17
dc.date.accessioned2026-07-07T11:55:22Z
dc.date.available2026-07-07T11:55:22Z
dc.descriptionWe use the one-loop Chiral Perturbation Theory pion-pion scattering amplitude and dispersion theory in the form of the inverse amplitude method, to study the quark mass dependence of the two lightest resonances of the strong interactions, the f_0(600) (sigma) and the rho-meson. As main results we find that the rho-pion-pion coupling constant is almost quark mass independent and that the rho mass shows a smooth quark 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.descriptionFinal version to appear in Phys. Rev. Lett. References added and typos corrected. 4 pages, three figures
dc.identifierhttps://arxiv.org/abs/0801.2871
dc.identifierhttp://arxiv.org/abs/0801.2871
dc.identifierPhys.Rev.Lett.100:152001,2008
dc.identifierdoi:10.1103/PhysRevLett.100.152001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205217
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Lattice
dc.titleQuark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
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