New dispersion relations in the description of $ππ$ scattering amplitudes

Details New dispersion relations in the description of $ππ$ scattering amplitudes New dispersion relations in the description of $ππ$ scattering amplitudes

2008-09-27

arxiv.org/abs/0809.4766v1

Int.J.Mod.Phys.A24:402-409,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 2 figures, to appear in the Proceedings of the Meson 2008 conference, June 6-10, 2008, Cracow, Poland

Scientific paper

10.1142/S0217751X09043730

We present a set of once subtracted dispersion relations which implement crossing symmetry conditions for the $\pi\pi$ scattering amplitudes below 1 GeV. We compare and discuss the results obtained for the once and twice subtracted dispersion relations, known as Roy's equations, for three $\pi\pi$ partial JI waves, S0, P and S2. We also show that once subtracted dispersion relations provide a stringent test of crossing and analyticity for $\pi\pi$ partial wave amplitudes, remarkably precise in the 400 to 1.1 GeV region, where the resulting uncertainties are significantly smaller than those coming from standard Roy's equations, given the same input.

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