Tests of the naturalness of the coupling constants in ChPT at order $p^6$ - IN2P3 - Institut national de physique nucléaire et de physique des particules Access content directly
Journal Articles European Physical Journal C: Particles and Fields Year : 2006

Tests of the naturalness of the coupling constants in ChPT at order $p^6$

K. Kampf
  • Function : Author

Abstract

We derive constraints on combinations of O(p^6) chiral coupling constants by matching a recent two-loop calculation of the pi-K scattering amplitude with a set of sum rules. We examine the validity of the natural expectation that the values of the chiral couplings can be associated with physics properties of the light resonance sector. We focus, in particular, on flavour symmetry breaking of vector resonances. A resonance chiral Lagrangian is constructed which incorporates flavour symmetry breaking more completely than was done before. We use pi-K unsubtracted sum rules as tests of the modelling of the resonance contributions to the chiral couplings. In some cases the O(p^6) couplings are found not to be dominated by the resonance contributions.

Dates and versions

in2p3-00078737 , version 1 (07-06-2006)

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K. Kampf, B. Moussallam. Tests of the naturalness of the coupling constants in ChPT at order $p^6$. European Physical Journal C: Particles and Fields, 2006, 47, pp.723-736. ⟨in2p3-00078737⟩
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