$ππ$ Scattering in Three Flavour ChPT

Details $ππ$ Scattering in Three Flavour ChPT $ππ$ Scattering in Three Flavour ChPT

2004-01-08

arxiv.org/abs/hep-ph/0401039v1

JHEP 0401:050,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages

Scientific paper

10.1088/1126-6708/2004/01/050

We present the scattering lengths for the $\pi\pi$ processes in the three flavour Chiral Perturbation Theory (ChPT) framework at next-to-next-to-leading order. We then combine this calculation with the determination of the parameters from $K_{e4}$ and the masses and decay constants and compare with the results of a dispersive analysis of $\pi\pi$ scattering. The comparison indicates a small but nonzero value for the $1/N_c$ suppressed NLO low energy constants $L_4^r$ and $L_6^r$.

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