RT Journal Article T1 Quark-mass dependence of the ρ and σ mesons from dispersion relations and chiral perturbation theory A1 Hanhart, Christoph A1 Peláez Sagredo, José Ramón A1 Rios, G. AB We use the one-loop chiral perturbation theory π π -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) (σ) and the ρ meson. As the main results, we find that the rho π π coupling constant is almost quark mass independent and that the ρ mass shows a smooth quark-mass dependence while that of the σ shows a strong nonanalyticity. These findings are important for studies of the meson spectrum on the lattice. PB American Physical Society SN 0031-9007 YR 2008 FD 2008-03 LK https://hdl.handle.net/20.500.14352/51707 UL https://hdl.handle.net/20.500.14352/51707 LA eng NO ©2008 The American Physical Society.We thank G. Colangelo, S. Du¨rr, V. V. Flambaum, U. G. Meißner, and A. Rusetsky for their useful comments. DS Docta Complutense RD 6 abr 2025