Strange and non-strange quark mass dependence of elastic light resonances from SU(3) Unitarized Chiral Perturbation Theory to one loop

Abstract

We study the light quark mass dependence of the f_0(600), kappa(800), rho(770) and K*(892) resonance parameters generated from elastic meson-meson scattering using unitarized one-loop Chiral Perturbation Theory. First, we show that it is possible to fit simultaneously all experimental scattering data up to 0.8-1 GeV together with lattice results on decay constants and scattering lengths up to a pion mass of 400 MeV, using chiral parameters compatible with existing determinations. Then, the strange and non-strange quark masses are varied from the chiral limit up to values of interest for lattice studies. In these amplitudes, the mass and width of the rho(770) and K*(892) present a similar and smooth quark mass dependence. In contrast, both scalars present a similar non-analyticity at high quark masses. Nevertheless, the f_0(600) dependence on the non-strange quark mass is stronger than for the kappa(800) and the vectors. We also confirm the lattice assumption of quark mass independence of the vector two-meson coupling that, in contrast, is violated for scalars. As a consequence, vector widths are very well approximated by the KSRF relation, and their masses are shown to scale like their corresponding meson decay constants.

20 pages, 13 figures. References added to new version and region of applicability slightly modified. Typos corrected.

References in corpus (14)

• Couplings in coupled channels versus wave functions: application to the X(3872) resonance
• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
• Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD
• The pion-pion scattering amplitude. III: Improving the analysis with forward dispersion relations and Roy equations
• Experimental status of the $\pi \pi$ isoscalar S wave at low energy: $f_0(600)$ pole and scattering length
• The Inverse Amplitude Method and Adler Zeros
• Infrared regularization for spin-1 fields
• Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks
• The K+K+ Scattering Length from Lattice QCD
• Constraints on the variability of quark masses from nuclear binding
• Gluonium nature of the sigma/f_0(600) from its coupling to KK
• Sigma pole position and errors of a once and twice subtracted dispersive analysis of pi-pi scattering data
• Pattern of Light Scalar Mesons

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