Chiral Extrapolations of light resonances from dispersion relations and Chiral Perturbation Theory
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We 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) which was modified to properly account for the Adler zero. The method is based on analyticity, elastic unitarity and ChPT at low energies, thus yielding the pion mass dependence of the resonance pole positions from the ChPT series up to a given order. We find that the rho-pi-pi coupling constant is almost m_pi independent and that our prediction compare well with some recent lattice results for the rho mass. These findings may be relevant for studies of the meson spectrum and form factors on the lattice.
7 pages, 4 figures, to appear in the proceedings of the "International Workshop on Effective Field Theories: from the Pion to the Upsilon. EFT09", Valencia, 1 -6 Feb. 2009
7 pages, 4 figures, to appear in the proceedings of the "International Workshop on Effective Field Theories: from the Pion to the Upsilon. EFT09", Valencia, 1 -6 Feb. 2009