The pi pi S-wave scattering lengths

Details The pi pi S-wave scattering lengths The pi pi S-wave scattering lengths

2000-07-12

arxiv.org/abs/hep-ph/0007112v2

Phys.Lett.B488:261-268,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, one figure; a few more references added. Version to appear on Physics Letters B

Scientific paper

10.1016/S0370-2693(00)00898-4

We match the known chiral perturbation theory representation of the pi pi scattering amplitude to two loops with a phenomenological description that relies on the Roy equations. On this basis, the corrections to Weinberg's low energy theorems for the S-wave scattering lengths are worked out to second order in the expansion in powers of the quark masses. The resulting predictions, a00=0.220 \pm 0.005, a20=-0.0444 \pm 0.0010, contain remarkably small uncertainties and thus allow a very sensitive experimental test of the hypothesis that the quark condensate is the leading order parameter of the spontaneously broken chiral symmetry.

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