PoS - Proceedings of Science
Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Calculating the two-photon contribution to $\pi^0 \rightarrow e^+ e^-$ decay amplitude
Y. Zhao*, N.H. Christ, X. Feng, L. Jin and C. Tu
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Pre-published on: January 16, 2020
Published on: August 27, 2020
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.
DOI: https://doi.org/10.22323/1.363.0097
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