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

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We 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.
Final version to appear in Phys. Rev. Lett. References added and typos corrected. 4 pages, three figures

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High Energy Physics - Phenomenology, High Energy Physics - Lattice

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http://salesiana.dossiersoluciones.com/handle/123456789/205217

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.2871
 http://arxiv.org/abs/0801.2871
 Phys.Rev.Lett.100:152001,2008
 doi:10.1103/PhysRevLett.100.152001

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