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

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

2008-01-18

arxiv.org/abs/0801.2871v2

Phys.Rev.Lett.100:152001,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevLett.100.152001

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.

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