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arXiv 1106.0915hep-phhep-lat
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(η \rightarrow 3π)中性衰变的电磁修正

Electromagnetic Corrections to the (η\rightarrow 3π) Neutral Decay

A. Nehme, S. Zein

摘要:

萨瑟兰定理指出,电磁相互作用对衰变过程的贡献(η \rightarrow 3π^{0})相对于来自上夸克和下夸克质量之差的贡献可以忽略。在包含虚光子的手征微扰理论框架下,计算了两个中间带电π介子交换虚光子的主图。在单圈水平上,该图对斜率参数的修正相当于纯强相互作用的修正的17%。如果这个结果是保持在考虑所有的图表时,手征秩序,我们正在工作,我们可以毫无疑问地说,萨瑟兰定理是强烈违反。作为一个直接的结果,任何从当前衰变\textit{should}中确定轻夸克质量的方法都要考虑电磁相互作用。

英文摘要:

Sutherland's theorem dictates that the contribution of the electromagnetic interaction to the decay process (η\rightarrow 3π^{0}) is neglected with respect to the one coming from the difference between the up and down quark masses. In the framework of chiral perturbation theory including virtual photons, we calculated the main diagram concerning the exchange of a virtual photon between two intermediate charged pions. The correction induced by this diagram on the slope parameter amounts to (17%) of the correction induced by the pure strong interaction at one-loop level. If this result is maintained when considering all the diagrams at the chiral order we are working, we can say without any doubt that Sutherland's theorem is strongly violated. As a direct consequence, any determination of light quark masses from the present decay \textit{should} take into account the electromagnetic interaction.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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