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arXiv 1109.1069hep-phhep-ex
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π介子β衰变辐射修正的观测

Observations on the radiative corrections to pion beta-decay

M. Passera, K. Philippides, A. Sirlin

摘要:

我们发现,在局域V-A理论中,当用以夸克为基本场的流代数(CA)公式计算时,对包含弱矢量流的π β衰变的辐射修正与直接基于π场的更基本的计算有很小的差别。我们表明,这种差异产生于一个特定的短距离效应,依赖于代数满足的弱电流和电磁电流。另一方面,我们提出了一个简单的理论论点,得出结论,这种差异不会发生时,CA制定相比,手征微扰理论(chiPT)的方法。与以前的研究比较,并与最近的计算基于chiPT,包括在内。我们还简要地回顾了局部V-A理论和标准模型的结果之间的重要差异。

英文摘要:

We find that, in the local V-A theory, the radiative corrections to pion beta-decay involving the weak vector current, when evaluated in the current algebra (CA) formulation in which quarks are the fundamental underlying fields, show a small difference with the more elementary calculations based directly on the pion fields. We show that this difference arises from a specific short-distance effect that depends on the algebra satisfied by the weak and electromagnetic currents. On the other hand, we present a simple theoretical argument that concludes that this difference does not occur when the CA formulation is compared with the chiral perturbation theory (chiPT) approach. Comparisons with previous studies, and with a more recent calculation based on chiPT, are included. We also briefly review the important differences between the results in the local V-A theory and the Standard Model.

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