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

Abstract

The $F$ and $G$ form-factors of $K_{\ell 4}$ and the quark condensates are calculated to $\mathcal{O}(p^6)$ in Chiral Perturbation Theory (CHPT). Full formulas are presented as much as possible. A full refit of most of the $\mathcal{O}(p^4)$ 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.

51 pages

References in corpus (3)

• Paramagnetic effect of light quark loops on Chiral Symmetry Breaking
• Low Energy Constants from Kl4 Form-Factors
• Contributions of order $\mathcal{O}(m_{\mathrm{quark}}^2)$ to $K_{\ell 3}$ form factors and unitarity of the CKM matrix

Cited by in corpus (70)

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• Non-Perturbative Study of the Light Pseudoscalar Masses in Chiral Dynamics
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