2007/01/01 by Ignasi Rosell, Pietro Colangelo, D. Creanza +4
Mathematics · Physics and Astronomy · #Chiral perturbation theory #High-Energy Particle Collisions Research #Matching (statistics) #Mathematical physics #Mathematics #Meson #Particle physics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Renormalization #Scalar (mathematics) #Scaling #Theoretical physics #hep-ph
paper · pdf · doi:10.1063/1.2823865
published as AIPConf.Proc.964:28-33,2007 · Talk given at the International Workshop on Quantum Chromodynamics QCD@work 2007, 16th-20th June (2007), Martina Franca (Italy). 6 pp
openalex publication_date 2007/01/01 · arxiv created 2007/09/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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/NC expansion, that is, keeping full control of the renormalization scale dependence. As a first step we have determined L8 and C38, the couplings related to the difference of the two‐point correlation functions of two scalar and pseudoscalar currents, L8r(μ0) = (0.6±0.4)⋅10−3 and C38r(μ0) = (2±6)⋅10−6, with μ0 = 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.