Determining chiral couplings at NLO

Physics – High Energy Physics – High Energy Physics - Phenomenology

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Talk given at the International Workshop on Quantum Chromodynamics QCD@work 2007, 16th-20th June (2007), Martina Franca (Italy

Scientific paper

10.1063/1.2823865

We present a general method that allows to estimate the low-energy constants of Chiral Perturbation Theory up to next-to-leading corrections in the 1/N(C) expansion, that is, keeping full control of the renormalization scale dependence. As a first step we have determined L(8) and C(38), the couplings related to the difference of the two-point correlation functions of two scalar and pseudoscalar currents, L(8)(mu_0) = (0.6 \pm 0.4) 10^{-3} and C(38)(mu_0) = (2 \pm 6) 10^{-6}$, with mu_0 = 0.77 GeV. As in many effective approaches, one of the main ingredients of this method is the matching procedure: some comments related to this topic are presented here.

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