Main Image
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, C. Tu
*corresponding author
Full text: pdf
Pre-published on: 2020 January 16
Published on:
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.
Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.