评估Brodsky-Lepage预测的准确性
Assessing the accuracy of the Brodsky-Lepage prediction
摘要：
我们表明，一组一致的短距离条件的奇内禀宇称共振手征拉格朗日耦合可以推导出在大- $N_C$限制和单共振近似。VVP格林函数及其所有相关的形状因子都满足这些约束。此外，它们与正常平价部门的早期结果一致，这进一步支持了该方法的总体一致性。在这里，我们采取一个新的视角，并检查这些高能量关系的精确系数的$1/Q^2$项的介子形状因子，规则的渐近行为的后果。特别是，我们表明，使用我们的一致的短距离约束的系数是显着符合布罗德斯基-Lepage预测，这些系数不赞成的替代结果。
英文摘要：
We show that a consistent set of short-distance conditions on the odd-intrinsic parity resonance chiral Lagrangian couplings can be derived in the large-$N_C$ limit and the single resonance approximation. These constraints are satisfied both by the VVP Green function and all its associated form-factors. Moreover, they are in agreement with earlier results found in the normal parity sector, which further supports the overall consistency of the approach. Here we take a new perspective and examine the consequences of these high-energy relations on the precise coefficient of the $1/Q^2$-term of meson form-factors, which rules their asymptotic behavior. In particular, we show that the coefficient derived using our consistent set of short-distance constraints is in remarkable accordance with the Brodsky-Lepage prediction, being alternative results for these coefficients disfavored.
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