High energy constraints in the octetSS−PPcorrelator and resonance saturation at next-to-leading order in1/NC

2009/12/02 by Juan José Sanz-Cillero, J. J. Sanz-Cillero, Jaroslav Trnka +1
Physics and Astronomy · #Chiral perturbation theory #Energy (signal processing) #Hadron #High-Energy Particle Collisions Research #Mathematical physics #Meson #Observable #Octet #Operator (biology) #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Renormalization #hep-ph

paper · pdf · doi:10.1103/physrevd.81.056005

published as Phys.Rev.D81:056005,2010 · 40 pages, 18 figures

arxiv created 2009/12/02 · openalex publication_date 2010/03/18 · arxiv updated 2010/04/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the octet SS\ensuremath-PP correlator within resonance chiral theory up to the one-loop level, i.e., up to next-to-leading order in the 1/N_C 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(\ensuremathμ)^SU(3)=(1.0\ifmmode±\else\textpm\fi0.4)\ifmmode×\else\texttimes\fi10^\ensuremath-3 and C₃₈(\ensuremathμ)^SU(3)=(8\ifmmode±\else\textpm\fi5)\ifmmode×\else\texttimes\fi10^\ensuremath-6 for \ensuremathμ=770 MeV. The effect of alternative renormalization schemes is also discussed in the article.

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