Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-03-31
AIPConf.Proc.1030:268-272,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
5 pages, 4 figures, to appear in the proceedings of the "Scalar Mesons and Related Topics" workshop. Lisbon, February 11-16, 2
Scientific paper
10.1063/1.2973511
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). In order to properly account for the Adler zero region, we also review the recently obtained modified version of the IAM; which is based on analyticity, elastic unitarity and ChPT at low energies, thus yielding the correct pion mass dependence of the resonance pole positions up to next-to-leading order in ChPT. As main results we find that the rho-pi-pi coupling constant is almost pion mass independent and that the rho mass shows a smooth pion 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.
Hanhart Ch.
Nicola Angel Gomez
Pelaez Jose Ramon
Rios Guillermo
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