Double chiral logarithms of Generalized Chiral Perturbation Theory for low-energy pi-pi scattering

Details Double chiral logarithms of Generalized Chiral Perturbation Theory for low-energy pi-pi scattering Double chiral logarithms of Generalized Chiral Perturbation Theory for low-energy pi-pi scattering

2001-04-25

arxiv.org/abs/hep-ph/0104270v2

Phys.Lett. B513 (2001) 103-111

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex 12 pages, one eps figure, Journal version

Scientific paper

10.1016/S0370-2693(01)00724-9

We express the two-massless-flavor Gell-Mann--Oakes--Renner ratio in terms of low-energy pi-pi observables, including the O(p^6) double chiral logarithms of generalized chiral perturbation theory. Their contribution is sizeable and tends to compensate the one from the single chiral logarithms. However it is not large enough to spoil the convergence of the chiral expansion. As a signal of reduced theoretical uncertainty, we find that the scale dependence from the one-loop single logarithms is almost completely canceled by the one from the two-loop double logarithms.

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