PoS - Proceedings of Science
Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Lattice QCD calculation of the two-photon contributions to $K_L \to \mu^+ \mu^-$ and $\pi^0 \to e^+ e^-$ decays
N.H. Christ,* X. Feng, L. Jin, C. Tu, Y. Zhao
*corresponding author
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Pre-published on: February 10, 2020
Published on: August 27, 2020
The rare second-order weak decay $K_L \to \mu^+\mu^-$ is precisely measured and sensitive to the structure of the weak interactions at short distances. However, these effects are obscured by a large third-order, long-distance contribution to this decay in which the muon pair is created by two photons. We will discuss the prospects for computing this third-order electroweak process using lattice QCD. As a first step in such a calculation a method will be presented for the lattice calculation of the simpler two-photon decay $\pi^0 \to e^+ e^-$.
DOI: https://doi.org/10.22323/1.363.0128
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