pi-pi scattering: theory is ahead of experiment

Details pi-pi scattering: theory is ahead of experiment pi-pi scattering: theory is ahead of experiment

2002-12-20

arxiv.org/abs/hep-ph/0212323v1

AIP Conf.Proc. 670 (2003) 45-52

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk given in honour of Arnulfo Zepeda at the X Mexican School of Particles and Fields, Playa del Carmen, Mexico, 2002, 8 pp

Scientific paper

10.1063/1.1594317

I draw attention to a recent breakthrough in the field of low energy pion physics: the consequences of the hidden symmetry of the QCD Hamiltonian have successfully been incorporated in the general dispersive framework for the pi-pi scattering amplitude, which is due to Roy. The meagre experimental information about the imaginary parts at and above 0.8 GeV suffices to unambiguously and accurately pin down the scattering amplitude at lower energies. The recent Brookhaven data on the reaction K -> pi pi e nu provide a significant test of the theory. They imply that the Gell-Mann-Oakes-Renner relation is approximately valid -- the bulk of the pion mass indeed originates in the quark condensate.

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