Tests of the naturalness of the coupling constants in ChPT at order p^6

Abstract

We derive constraints on combinations of O(p^6) chiral coupling constants by matching a recent two-loop calculation of the pi-K scattering amplitude with a set of sum rules. We examine the validity of the natural expectation that the values of the chiral couplings can be associated with physics properties of the light resonance sector. We focus, in particular, on flavour symmetry breaking of vector resonances. A resonance chiral Lagrangian is constructed which incorporates flavour symmetry breaking more completely than was done before. We use pi-K unsubtracted sum rules as tests of the modelling of the resonance contributions to the chiral couplings. In some cases the O(p^6) couplings are found not to be dominated by the resonance contributions.

arXiv comment15 pages, 5 figures; v2: minor improvements, to appear in Eur. Phys. J. C

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Cited by in corpus (30)

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• Analytical dispersive construction of $\eta \to 3\pi$ amplitude: First order in isospin breaking
• Determination of the Chiral Couplings L_10 and C_87 from Semileptonic Tau Decays
• Integrating out strange quarks in ChPT
• Towards a determination of the chiral couplings at NLO in 1/N(C): L_8(mu) and C_38(mu)
• On the Radiative Pion Decay
• Large-$N_c$ naturalness in coupled-channel meson-meson scattering
• Updated determination of chiral couplings and vacuum condensates from hadronic tau decay data
• Pi pi scattering lengths at O(p^6) revisited
• Study of η-η' mixing from radiative decay processes
• On different lagrangian formalisms for vector resonances within chiral perturbation theory
• Chiral Extrapolation of the Strangeness Changing K pi Form Factor
• Low-energy constants and condensates from the tau hadronic spectral functions
• Holography, chiral Lagrangian and form factor relations
• Computation of the p6 order chiral Lagrangian coefficients from the underlying theory of QCD
• A Combined NNLO Lattice-Continuum Determination of $L_{10}^r$
• Low-energy pi-pi and pi-K scatterings revisited in three-flavour resummed chiral perturbation theory
• NNLO low-energy constants from flavor-breaking chiral sum rules based on hadronic tau-decay data
• Renormalization and additional degrees of freedom within the chiral effective theory for spin-1 resonances
• High energy constraints in the octet SS-PP correlator and resonance saturation at NLO in 1/Nc
• Relations at Order $p^6$ in Chiral Perturbation Theory
• Energy and decay width of the pi-K atom
• New method for fitting the low-energy constants in chiral perturbation theory
• Renormalization of the antisymmetric tensor field propagator and dynamical generation of the $1^{+-}$ mesons in Resonance Chiral Theory
• Chiral low-energy constants L_10 and C_87 from hadronic tau decays
• Bayesian method for fitting the low-energy constants in chiral perturbation theory
• From hadronic tau decays to the chiral couplings L_10 and C_87