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

Abstract

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.

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