Calculating the two-photon contribution to $\pi^0 \rightarrow e^+ e^-$ decay amplitude

N. Christ, Xu Feng, Luchang Jin, Cheng Tu, Yidi Zhao
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引用次数: 1

Abstract

We develop a new method that allows us to deal with two-photon intermediate states in a lattice QCD calculation. We apply this method to perform a first-principles calculation of the $\pi^0 \rightarrow e^+ e^-$ decay amplitude. Both the real and imaginary parts of amplitude are calculated. The imaginary part is compared with the prediction of optical theorem to demonstrate the effectiveness of this method. Our result for the real part of decay amplitude is $19.68(52)(1.10) \ \text{eV}$, where the first error is statistical and the second is systematic.
计算双光子对$\pi^0 \rightarrow e^+ e^-$衰减幅度的贡献
我们开发了一种新的方法,使我们能够处理晶格QCD计算中的双光子中间态。我们应用这种方法来执行$\pi^0 \rightarrow e^+ e^-$衰减幅度的第一性原理计算。计算了振幅的实部和虚部。将虚部与光学定理的预测结果进行了比较,证明了该方法的有效性。我们对衰减振幅实部的结果是$19.68(52)(1.10) \ \text{eV}$,其中第一个误差是统计误差,第二个是系统误差。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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