Relations at Order $p^6$ in Chiral Perturbation Theory

Abstract

We report on a search of relations valid at order $p^6$ in Chiral Perturbation Theory. We have found relations between $\pi \pi$, $\pi K$ scattering, $K_{\ell 4}$ decays, masses and decay constants and scalar and vector form factors. In this paper we give the relations and a first numerical check of them.

18 pages, numerical discussion extended including a new figure

References in corpus (25)

• ππscattering
• The Mesonic Chiral Lagrangian of Order $p^6$
• Elastic $\pi \pi$ scattering to two loops
• A new analysis of $\pi K$ scattering from Roy and Steiner type equations
• Renormalization of chiral perturbation theory to order p^6
• $\pi \pi$ Scattering in Three Flavour ChPT
• QCD Isospin Breaking in Meson Masses, Decay Constants and Quark Mass Ratios
• $K_{\ell 3}$ decays in Chiral Perturbation Theory
• Pion and Kaon Electromagnetic Form Factors
• $K_{l4}$ - Decays Beyond One Loop
• Chiral Perturbation Theory Beyond One Loop
• Two-point Functions at Two Loops in Three Flavour Chiral Perturbation Theory
• Chiral perturbation theory
• $\eta \to 3\pi$ at Two Loops In Chiral Perturbation Theory
• High statistics measurement of Ke4 decay properties
• Pion-pion scattering at low energy
• $K_{\ell 4}$ Form-Factors and $\pi$-$\pi$ Scattering
• $\pi K$ Scattering in Three Flavour ChPT
• Low Energy Constants from Kl4 Form-Factors
• Scalar Form Factors in SU(3) Chiral Perturbation Theory
• Tests of the naturalness of the coupling constants in ChPT at order p^6
• Two-loop Analysis of Axialvector Current Propagators in Chiral Perturbation Theory
• Corrections to Sirlin's Theorem in $O(p^6)$ Chiral Perturbation Theory
• A Parametrization for $K^{+}\to {\pi }^{+}{\pi }^{-}{e}^{+}\nu$
• K0 form factor at order p^6 of chiral perturbation theory

Cited by in corpus (4)

• Mesonic low-energy constants
• Analytical dispersive construction of $\eta \to 3\pi$ amplitude: First order in isospin breaking
• A new global fit of the $L_i^r$ at next-to-next-to-leading order in Chiral Perturbation Theory
• The order $p^8$ mesonic chiral Lagrangian