Form - factors and current correlators : chiral couplings L r 10 ( μ ) and C r 87 ( μ ) at NLO in 1 / N
نویسندگان
چکیده
Using the resonance chiral theory Lagrangian, we perform a calculation of the vector and axial-vector two-point functions at the next-to-leading order (NLO) in the 1/NC expansion. We have analyzed these correlators within the singleresonance approximation and have also investigated the corrections induced by a second multiplet of vector and axial-vector resonance states. Imposing the correct QCD short-distance constraints, one determines the difference of the two correlators Π(t) ≡ ΠV V (t) − ΠAA(t) in terms of the pion decay constant and resonance masses. Its low momentum expansion fixes then the low-energy chiral couplings L10 and C87 at NLO, keeping full control of their renormalization scale dependence. At μ0 = 0.77 GeV, we obtain L r 10(μ0) = (−4.4±0.9)·10−3 and C 87(μ0) = (3.1±1.1)·10−5.
منابع مشابه
Form - factors and current correlators : chiral couplings L r 10 ( μ ) and C r 87 ( μ ) at NLO in 1 / N C
Using the resonance chiral theory Lagrangian, we perform a calculation of the vector and axial-vector two-point functions at the next-to-leading order (NLO) in the 1/NC expansion. We have analyzed these correlators within the singleresonance approximation and have also investigated the corrections induced by a second multiplet of vector and axial-vector resonance states. Imposing the correct QC...
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