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

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

2006-04-13

arxiv.org/abs/hep-ph/0604125v2

Eur.Phys.J.C47:723-736,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 5 figures; v2: minor improvements, to appear in Eur. Phys. J. C

Scientific paper

10.1140/epjc/s2006-02606-7

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.

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