RT Book, Section
T1 Dependence on the quark masses of elastic phase shifts and light resonances within standard and unitarized ChPT
A1 Nebreda Manjón, Jenifer
A1 Peláez Sagredo, José Ramón
AB We study the dependence of the π π 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), k (800), ρ(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 pi pi phase shifts at one loop and lightly 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.
PB American Institute of Physics
SN 978-0-7354-0934-7
YR 2011
FD 2011
LK https://hdl.handle.net/20.500.14352/45616
UL https://hdl.handle.net/20.500.14352/45616
LA eng
NO © 2011 American Institute of Physics 978-0-7354-0934-7.International Conference on Meson-Nucleon Physics and the Structure of the Nucleon (MENU 2010).(12.2010. New York).Work partially supported by Spanish MICINN: FPA2007- 9115-E, FPA2008-00592 and FIS2006-03438, U.Complutense/ Banco Santander grant PR34/07- 15875-BSCH and UCM-BSCH GR58/08 910309 and the EUResearch Infrastructure Integrating Activity “Study of Strongly Interacting Matter” (HadronPhysics2, Grant n 227431) under the EU Seventh Framework Programme.
NO Unión Europea. FP7
NO Ministerio de Ciencia e Innovación (MICINN)
NO Universidad Complutense/ Banco Santander
DS Docta Complutense
RD 6 abr 2025