Pi pi scattering lengths at O(p^6): resonance estimates

Details Pi pi scattering lengths at O(p^6): resonance estimates Pi pi scattering lengths at O(p^6): resonance estimates

2009-04-27

arxiv.org/abs/0904.4178v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages. To appear in the proceedings of EFT'09 -International Workshop on Effective Field Theories: from the Pion to the Upsi

Scientific paper

In a previous paper, some deviations were found in the O(p^6) low-energy constants that contribute to the pi pi-scattering lengths. This work completes the study of all the relevant couplings (r_1, ... r_6, r_S2). We also perform a reanalysis of the hadronical inputs used for the estimation (resonance masses, widths...), checking the impact of the input uncertainties on the determinations of the chiral couplings and the scattering lengths a^I_J. A good agreement is found with respect to former works, though our detailed analysis produces a more solid estimate of these couplings and slightly larger errors. The effect in the final values of the a^I_J is negligible after combining them with the other uncertainties, being the previous scattering length determinations sound and reliable. Nevertheless, the uncertainties derived here for the O(p^6) contributions to the scattering lengths point out the limitation on further improvements unless the precision of the O(p^6) low-energy couplings is properly increased.

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