High energy constraints in the octet SS-PP correlator and resonance saturation at next-to-leading order in 1/N{sub C}
- Grup de Fisica Teorica and IFAE, Universitat Autonoma de Barcelona, E-08193 Barcelona (Spain)
- Department of Physics, Princeton University, Princeton, New Jersey 08540 (United States)
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/N{sub 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 L{sub 8}({mu}){sup SU(3)}=(1.0{+-}0.4)x10{sup -3} and C{sub 38}({mu}){sup SU(3)}=(8{+-}5)x10{sup -6} for {mu}=770 MeV. The effect of alternative renormalization schemes is also discussed in the article.
- OSTI ID:
- 21409898
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 81, Issue 5; Other Information: DOI: 10.1103/PhysRevD.81.056005; (c) 2010 The American Physical Society; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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