Model independent determination of the sigma pole

Details Model independent determination of the sigma pole Model independent determination of the sigma pole

2008-04-20

arxiv.org/abs/0804.3182v1

AIPConf.Proc.1030:46-55,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 4 figures, Contribution to the proceedings of the Workshop on Scalar Mesons and Related Topics, honouring the 70th b

Scientific paper

10.1063/1.2973552

The first part of this report reviews recent developments at the interface between lattice work on QCD with light dynamical quarks, effective field theory and low energy precision experiments. Then I discuss how dispersion theory can be used to analyze the low energy structure of the $\pi\pi$ scattering amplitude in a model independent manner. This leads to an exact formula for the mass and width of the lowest few resonances, in terms of observable quantities. As an application, I consider the pole position of the $\sigma$, paying particular to error propagation in the numerical analysis. The report is based on work done in collaboration with Irinel Caprini and Gilberto Colangelo.

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