Nebreda Manjón, JeniferPeláez Sagredo, José Ramón2023-06-202023-06-202010978-0-7354-0878-410.1063/1.3542014https://hdl.handle.net/20.500.14352/45624©Amer Inst Physics. International Workshop on Chiral Symmetry in Hadrons and Nuclei (2010. Valencia). Work partially supported by Spanish MICINN: FPA2007-29115-E, FPA2008-00592 and FIS2006-03438, U.Complutense/ Banco Santander grant PR34/07-15875-BSCH and UCM-BSCH GR58/08 910309 and the EU-Research Infrastructure Integrating Activity “Study of Strongly Interacting Matter” (HadronPhysics2, Grant n 227431) under the EU Seventh Framework Programme.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.engbook parthttp://dx.doi.org/10.1063/1.3542014http://scitation.aip.orgopen access51-73One-loopScatteringAmplitudeFísica-Modelos matemáticosFísica matemática