Once and twice subtracted dispersion relations in the analysis of pi pi amplitudes

Details Once and twice subtracted dispersion relations in the analysis of pi pi amplitudes Once and twice subtracted dispersion relations in the analysis of pi pi amplitudes

2009-05-13

arxiv.org/abs/0905.2139v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, to appear in proceedings of ExcitedQCD 09 workshop, 8-14 February 2009, Zakopane (Poland)

Scientific paper

Once and twice subtracted crossing symmetric dispersion relations applied to $\pi\pi \to \pi\pi$ scattering data are analyzed and compared. Both sets of dispersion relations can be used to test the $\pi\pi$ amplitudes in low partial waves up to about 1 GeV. We show how once subtracted dispersion relations can provide stronger constraints for $\pi\pi$ amplitudes than twice subtracted ones in the 400 to 1100 MeV range, given the same experimental input.

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