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2009•arXiv (Cornell University)Open access

Determination of Low Energy Constants and testing Chiral Perturbation\n Theory at order $p^6$ (NNLO)

Johan Bijnens, Ilaria Jemos

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Abstract

We present the results of a search for relations between observables that are\nindependent of the Chiral Perturbation Theory (ChPT) Next-to-Next-to-Leading\nOrder (NNLO) Low-Energy Constants (LECs). We have found some relations between\nobservables in $\\pi\\pi$, $\\pi K$ scattering and $K_{l4}$ decay which have been\nevaluated numerically using fit 10 in \\cite{Amoros:2001cp} for the NLO LECs. We\nalso show some preliminary results for a new global fit of the NLO LECs\n

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We present the results of a search for relations between observables that are\nindependent of the Chiral Perturbation Theory (ChPT) Next-to-Next-to-Leading\nOrder (NNLO) Low-Energy Constants (LECs). We have found some relations between\nobservables in $\\pi\\pi$, $\\pi K$ scattering and $K_{l4}$ decay which have been\nevaluated numerically using fit 10 in \\cite{Amoros:2001cp} for the NLO LECs. We\nalso show some preliminary results for a new global fit of the NLO LECs\n

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Available abstract

We present the results of a search for relations between observables that are\nindependent of the Chiral Perturbation Theory (ChPT) Next-to-Next-to-Leading\nOrder (NNLO) Low-Energy Constants (LECs). We have found some relations between\nobservables in $\\pi\\pi$, $\\pi K$ scattering and $K_{l4}$ decay which have been\nevaluated numerically using fit 10 in \\cite{Amoros:2001cp} for the NLO LECs. We\nalso show some preliminary results for a new global fit of the NLO LECs\n

Key concepts: Chiral perturbation theory, Observable, Physics, Perturbation theory (quantum mechanics), Perturbation (astronomy), Order (exchange), Particle physics, Mathematical physics

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