We study the octet SS-PP correlator within resonance chiral theory up to the one-loop level, i.e., up to next-to-leading order in the 1/NC expansion. We require that our correlator follows the power behavior prescribed by the operator product expansion at high Euclidean momentum. Nevertheless, we will not make use of short-distance constraints from other observables. Likewise, the high energy behavior will be demanded for the whole correlator, not for individual absorptive channels. The amplitude is progressively improved by considering more and more complicated operators in the hadronic Lagrangian. Matching the resonance chiral theory result with chiral perturbation theory at low energies produces the estimates L8(μ)SU(3)=(1.0±0.4) ×10-3 and C38(μ)SU(3)=(8±5)×10 -6 for μ=770MeV. The effect of alternative renormalization schemes is also discussed in the article. © 2010 The American Physical Society.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|Publication status||Published - 18 Mar 2010|