Theoretical progress on pi pi scattering lengths and phases

Details Theoretical progress on pi pi scattering lengths and phases Theoretical progress on pi pi scattering lengths and phases

2007-10-16

arxiv.org/abs/0710.3050v1

PoSKAON:038,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, talk given at the KAON International Conference, May 21-25 2007 Laboratori Nazionali di Frascati dell'INFN, Rome, It

Scientific paper

pi pi scattering at low energy is sensitive to the structure of the QCD vacuum. I review the calculations of the pi pi scattering lengths and phases, and group them in three cathegories: 1. those based on very general theoretical constraints (like dispersion relations and crossing symmetry) and phenomenology, 2. those which in addition make explicit use of chiral symmetry, 3. the first-principle ones, done with lattice QCD. I then compare these to the experimental results. Thanks to recent progress in all these and in the experimental determination of the scattering lengths we are improving substantially our knowledge of the QCD vacuum.

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