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arXiv 0803.1567hep-ph
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形状因子和电流关联函数:1/N(C)中NLO的手性耦合L_10(mu)和C_87(mu)

Form-factors and current correlators: chiral couplings L_10(mu) and C_87(mu) at NLO in 1/N(C)

A. Pich, I. Rosell, J. J. Sanz-Cillero

摘要:

利用共振手征理论拉格朗日量,我们计算了1/N(C)展开式中次领先阶(NLO)的矢量和轴矢量两点函数。我们分析了这些关联函数内的单共振近似,并研究了第二个多重矢量和轴向矢量共振态引起的校正。在正确的QCD短距离约束下,确定了两个关联函数π(t)= Pi_VV(t)- Pi_AA(t)在π衰变常数和共振质量方面的差别。它的低动量膨胀则将低能手征耦合L_10和C_87固定在NLO,保持对它们的重整化标度依赖性的完全控制。在μ_0 =0.77 GeV时,得到L_10(μ_0)=(-4.4 \pm 0.9)10^{-3}和C_(87)^r(μ_0)=(3.1 \pm 1.1)10^{-5}.

英文摘要:

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/N(C) expansion. We have analyzed these correlators within the single-resonance 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 Pi(t) = Pi_VV(t)- Pi_AA(t) in terms of the pion decay constant and resonance masses. Its low momentum expansion fixes then the low-energy chiral couplings L_10 and C_87 at NLO, keeping full control of their renormalization scale dependence. At mu_0=0.77 GeV, we obtain L_10(mu_0) = (-4.4 \pm 0.9)10^{-3} and C_87^r(mu_0)=(3.1 \pm 1.1)10^{-5}.

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