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

TL;DR

This paper investigates order p^6 relations in Chiral Perturbation Theory, identifying new connections between scattering processes, decays, and form factors, with initial numerical validation.

Contribution

It presents the first set of relations at order p^6 in Chiral Perturbation Theory and provides initial numerical checks for these theoretical predictions.

Findings

Identified relations between ππ and πK scattering

Established links between K_{ℓ4} decays and form factors

Performed initial numerical validation of the relations

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, $K_{\ell4}$ 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.