$\pi \pi$ Scattering in Three Flavour ChPT

Abstract

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 $L_6^r$.

30 pages

References in corpus (7)

• $K_{\ell 3}$ decays in Chiral Perturbation Theory
• Meson resonances, large N_c and chiral symmetry
• QCD Short-distance Constraints and Hadronic Approximations
• Scalar Form Factors in SU(3) Chiral Perturbation Theory
• On the precision of the theoretical predictions for pi pi scattering
• On the precision of chiral-dispersive calculations of $\pi \pi$ scattering
• The quadratic scalar radius of the pion and the mixed $\pi -K$ radius

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