Chiral extrapolation of elastic meson-meson scattering: phase shifts and resonance poles

Journal Article · Mon May 23 04:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3575001· OSTI ID:21513292

Nebreda, J; Pelaez, J R ^[1]

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1. Dept. Fisica Teorica II. Universidad Complutense, 28040, Madrid (Spain)

We study the dependence of the {pi}{pi} 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{sub 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 {pi}{pi} phase shifts as a function of the center of mass momentum 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.

• OSTI ID: 21513292
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1343; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CENTER-OF-MASS SYSTEM
CHIRAL SYMMETRY
CHIRALITY
D QUARKS
ELASTIC SCATTERING
ELEMENTARY PARTICLES
EXTRAPOLATION
FERMIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
K*-892 MESONS
LIE GROUPS
MASS
MATHEMATICAL SOLUTIONS
MESON-MESON INTERACTIONS
MESONS
NUMERICAL SOLUTION
PARTICLE INTERACTIONS
PARTICLE PRODUCTION
PARTICLE PROPERTIES
PERTURBATION THEORY
PHASE SHIFT
PION-PION INTERACTIONS
PIONS
PSEUDOSCALAR MESONS
QUARKS
RESONANCE
RHO-770 MESONS
SCATTERING
STRANGE MESONS
STRANGE PARTICLES
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY GROUPS
U QUARKS
VECTOR MESONS