Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-09-17
Nucl.Phys.Proc.Suppl.207-208:236-239,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
4 pages. Talk given at QCD'10 (25th anniversary) -15th International QCD Conference-, 28th June - 3rd July 2010 Montpellier (F
Scientific paper
10.1016/j.nuclphysbps.2010.10.06
The SU(3) octet SS-PP correlator and the difference of the singlet and octet scalar correlators are computed within Resonance Chiral Theory. The calculation is carried on up to the one-loop level, i.e., up to next-to-leading order in the 1/Nc expansion. Using the resonance expressions as interpolators between long and short distances, we demand the correlators to follow the high-energy power behavior prescribed by the operator product expansion and extract predictions for the low-energy constants. By adding more and more complicated operators to the hadronic action, our description is progressively improved, producing for the SS-PP correlator the chiral coupling estimates L_8(mu) = (1.0+- 0.4) 10^{-3} and C_{38}(mu) = (8+- 5) 10^{-6} for mu=770 MeV. Some first results for the S1 S1 - S8 S8 correlator are shown, like, for instance, the positivity of the spectral function for two-meson cuts, the high-energy constraints for each separate scalar form-factor and preliminary expressions for the L_6(mu) low-energy constant.
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