$K_{\ell 4}$ Form-Factors and $π$-$π$ Scattering

Details $K_{\ell 4}$ Form-Factors and $π$-$π$ Scattering $K_{\ell 4}$ Form-Factors and $π$-$π$ Scattering

2000-03-27

arxiv.org/abs/hep-ph/0003258v1

Nucl.Phys. B585 (2000) 293-352; Erratum-ibid. B598 (2001) 665-666

Physics

High Energy Physics

High Energy Physics - Phenomenology

51 pages

Scientific paper

10.1016/S0550-3213(00)00366-7

The $F$ and $G$ form-factors of $K_{\ell4}$ and the quark condensates are calculated to ${\cal O}(p^6)$ in Chiral Perturbation Theory (CHPT). Full formulas are presented as much as possible. A full refit of most of the ${\cal O}(p^4)$ CHPT parameters is done with a discussion of all inputs and underlying assumptions. We discuss the consequences for the vacuum expectation values, decay constants, pseudoscalar masses and $\pi$-$\pi$ scattering.

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