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oai:docta.ucm.es:20.500.14352/456242023-09-07T15:10:23Zcom_20.500.14352_14col_20.500.14352_21

Nebreda Manjón, Jenifer Peláez Sagredo, José Ramón 2023-06-20T05:47:44Z 2023-06-20T05:47:44Z 2010 978-0-7354-0878-4 10.1063/1.3542014 https://hdl.handle.net/20.500.14352/45624 http://dx.doi.org/10.1063/1.3542014 http://scitation.aip.org We study the light quark mass dependence of the π π scattering phase shifts in standard one and two-loop SU(2) Chiral Perturbation Theory (ChPT). We then repeat the study with unitarized ChPT and; furthermore, we extend the analysis to SU(3) and generate the elastic f_0(600), к(800) ρ(770) and K*(892) resonances from unitarization. The quark masses are varied up to values of interest for lattice studies. We find that the SU(2) π π phase shifts both in standard and unitarized ChPT depend very softly on the pion mass and that our results are in fair agreement with lattice results in the I=2, J=0 channel. In the SU(3) amplitudes, the mass and width of the ρ (770) and K*(892) present an analogous and smooth quark mass dependence. In contrast, both scalars present a similar non-analyticity at high quark masses. We also confirm the lattice assumption of independence of the vector two-meson coupling on the quark mass, that is, nevertheless, violated for scalars. eng open access Quark mass dependence of light resonances and phase shifts in elastic π π and π к scattering book part