Order p6chiral couplings from the scalar Kπ form factor

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Published 26 February 2004 • Published under licence by IOP Publishing Ltd
, , Citation Matthias Jamin et al JHEP02(2004)047 DOI 10.1088/1126-6708/2004/02/047

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Author affiliations

1 Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, D-69120 Heidelberg, Germany

2 Departamento de Física, Universidad de Murcia, E-30071 Murcia, Spain

3 Departament de Física Teòrica, IFIC, Universitat de València – CSIC, Apt. Correus 22085, E-46071 València, Spain

Dates

  1. Received 26 January 2004
  2. Accepted 20 February 2004
  3. Published

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1126-6708/2004/02/047

Abstract

Employing results from a recent determination of the scalar Kπ form factor F0Kπwithin a coupled channel dispersion relation analysis [1], in this work we calculate the slope and curvature of F0Kπ(t) at zero momentum transfer. Knowledge of the slope and curvature of the scalar Kπ form factor, together with a recently calculated expression for F0Kπ(t) in chiral perturbation theory at order p6, enable to estimate the Script O(p6) chiral constants C12r(Mρ) = (0.3±5.4).10−7and (C12r+C34r)(Mρ) = (3.2±1.5).10−6. Our findings also allow to estimate the contribution coming from the Cito the vector form factor F+Kπ(0) which is a crucial ingredient for a precise determination of |Vus| from Kl3decays. Our result F+Kπ(0)|Cir = − 0.018±0.009, though inflicted with large uncertainties, is in perfect agreement with a previous estimate by Leutwyler and Roos already made twenty years ago.

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10.1088/1126-6708/2004/02/047