On the precision of the theoretical predictions for pi pi scattering

Details On the precision of the theoretical predictions for pi pi scattering On the precision of the theoretical predictions for pi pi scattering

2003-06-13

arxiv.org/abs/hep-ph/0306122v2

Phys.Rev. D68 (2003) 074006

Physics

High Energy Physics

High Energy Physics - Phenomenology

Added more material, mostly in Sects. 7, 8 and 9, in support of the same conclusions. Latex, 28 pages, 3 figures

Scientific paper

10.1103/PhysRevD.68.074006

In a recent paper, Pelaez and Yndurain evaluate some of the low energy observables of pi pi scattering and obtain flat disagreement with our earlier results. The authors work with unsubtracted dispersion relations, so that their results are very sensitive to the poorly known high energy behaviour of the scattering amplitude. They claim that the asymptotic representation we used is incorrect and propose an alternative one. We repeat their calculations on the basis of the standard, subtracted fixed-t dispersion relations, using their asymptotics. The outcome fully confirms our earlier findings. Moreover, we show that the Regge parametrization proposed by these authors for the region above 1.4 GeV violates crossing symmetry: Their ansatz is not consistent with the behaviour observed at low energies.

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