Pi pi scattering lengths at O(p^6) revisited

Abstract

This article completes a former work where part of the O(p^6) low-energy constants entering in the pi pi scattering were estimated. Some resonance contributions were missed in former calculations and slight differences appeared with respect to our outcome. Here, we provide the full results for all the contributing O(p^6) couplings. We also perform a reanalysis of the hadronic inputs used for the estimation (resonance masses, widths...). Their reliability was checked together with the impact of the input uncertainties on the determinations of the chiral couplings and the scattering lengths a^I_J. Our outcome is found in agreement with former works though with slightly larger errors. However, the effect in the final values of the a^I_J is negligible after combining them with the other uncertainties. Based on this consistency, we conclude that the previous scattering length determinations seem to be rather solid and reliable, with the cO(p^6) low-energy constants quite under control. Nevertheless, the uncertainties found in the present work point out the limitation on further improvements unless the precision of the O(p^6) couplings is properly increased.

19 pages. Improved treatment of the a0 decay width and update of the numerical outcomes. Final version published in Phys. Rev. D (10.1103/PhysRevD.79.096006)

References in corpus (6)

• Towards a consistent estimate of the chiral low-energy constants
• Form-factors and current correlators: chiral couplings L_10(mu) and C_87(mu) at NLO in 1/N(C)
• Tests of the naturalness of the coupling constants in ChPT at order p^6
• $O(p^6)$ extension of the large--$N_C$ partial wave dispersion relations
• Radiative decays with light scalar mesons and singlet-octet mixing in ChPT
• Resonance Form-Factors: L8 Determination at Next-to-Leading Order in 1/NC

Cited by in corpus (5)

• One meson radiative tau decays
• Lattice QCD study of the s-wave $\pi \pi$ scattering lengths in the I=0 and 2 channels
• e+e- annihilation to (pi0 pi0 gamma) and (pi0 eta gamma) as a source of information on scalar and vector mesons
• Unitarity constraints on chiral perturbative amplitudes
• Pi pi scattering lengths at O(p^6): resonance estimates