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

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