# Chiral symmetry constraints on resonant amplitudes

@article{Bruns2018ChiralSC,
title={Chiral symmetry constraints on resonant amplitudes},
author={Peter C. Bruns and M. Mai},
journal={Physics Letters B},
year={2018},
volume={778},
pages={43-47}
}
• Published 2018
• Physics
• Physics Letters B
Abstract We discuss the impact of chiral symmetry constraints on the quark-mass dependence of meson resonance pole positions, which are encoded in non-perturbative parametrizations of meson scattering amplitudes. Model-independent conditions on such parametrizations are derived, which are shown to guarantee the correct functional form of the leading quark-mass corrections to the resonance pole positions. Some model amplitudes for ππ scattering, widely used for the determination of ρ and… Expand
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#### References

SHOWING 1-10 OF 79 REFERENCES
The Role of Resonances in Chiral Perturbation Theory
• Physics
• 1989
Abstract The strong interactions of low-lying meson resonances (spin ⩽ 1) with the octet of pseudoscalar mesons ( π , K , η ) are considered to lowest order in the derivative expansion of chiralExpand
Vector meson masses in chiral perturbation theory
• Physics
• 1997
Abstract We discuss the vector meson masses within the context of chiral perturbation theory performing an expansion in terms of the momenta, quark masses and 1 / N c . We extend the previousExpand
Chiral perturbation theory for vector mesons.
• Medicine, Physics
• Physical review letters
• 1995
A heavy vector-meson chiral Lagrangian is derived in which the vector mesons are treated as heavy static matter fields and rare φ decays provide a sensitive test of nonleptonic neutral current structure. Expand
Quark-Mass Dependence of the ρ and σ Mesons from Dispersion Relations and Chiral Perturbation Theory
• Physics
• 2008
We use the one-loop chiral perturbation theory π π -scattering amplitude and dispersion theory in the form of the inverse amplitude method to study the quark-mass dependence of the two lightestExpand
Chiral behavior of vector meson self-energies
• Physics
• 2013
We employ a chiral Lagrangian framework with three dynamical flavors to calculate the masses of the lowest-lying vector mesons to one-loop accuracy, and use the resulting formulas to extrapolateExpand
Resonance Parameters of the rho-Meson from Lattice QCD
• Physics
• 2011
We perform a non-perturbative lattice calculation of the P-wave pion-pion scattering phase in the rho-meson decay channel using two flavors of maximally twisted mass fermions at pion masses rangingExpand
Meson-meson interactions in a nonperturbative chiral approach
• Physics
• 1999
A nonperturbative method which combines constraints from chiral symmetry breaking and coupled channel unitarity is used to describe the meson-meson interaction up to about 1.2 GeV. The approach usesExpand
Chiral extrapolation of the sigma resonance
• Physics
• 2016
Abstract We analyze results on isoscalar ππ scattering from a N f = 2 + 1 lattice QCD calculation by the HadronSpectrum collaboration by re-summing the two-flavor chiral scattering amplitude of theExpand
Pion-kaon scattering near the threshold in chiral SU(2) perturbation theory
Abstract In the context of chiral SU (2) perturbation theory, pion-kaon scattering is analysed near the threshold to fourth chiral order. The scattering amplitude is calculated both in theExpand
Connecting physical resonant amplitudes and lattice QCD
• Physics
• 2016
Abstract We present a determination of the isovector, P-wave ππ scattering phase shift obtained by extrapolating recent lattice QCD results from the Hadron Spectrum Collaboration using m π = 236 MeVExpand