Dependence on the quark masses of elastic phase shifts and light resonances within standard and unitarized Chiral Perturbation Theory

Details Dependence on the quark masses of elastic phase shifts and light resonances within standard and unitarized Chiral Perturbation Theory Dependence on the quark masses of elastic phase shifts and light resonances within standard and unitarized Chiral Perturbation Theory

2010-10-19

arxiv.org/abs/1010.3982v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

To appear in the proceedings of the 12th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon, C

Scientific paper

We study the dependence of the pion-pion scattering phase shifts on the light quark mass in both standard and unitarized SU(2) Chiral Perturbation Theory (ChPT) to one and two loops. We then use unitarized SU(3) ChPT to study the elastic f_0(600), kappa(800), rho(770) and K*(892) resonances. The quark masses are varied up to values of interest for lattice studies. We find a very soft dependence on the light quark mass of the pion-pion phase shifts at one loop and slightly stronger at two loops and a good agreement with lattice results. The SU(3) analysis shows that the properties of the rho(770) and K*(892) depend smoothly on the quark mass whereas the scalar resonances present a non-analyticity at high quark masses. We also confirm the lattice assumption of quark mass independence of the vector two-meson coupling that, however, is violated for scalars.

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