Long distance part of ${ϵ}_K$ from lattice QCD

Abstract

We demonstrate the lattice QCD calculation of the long distance contribution to ${ϵ}_K$. Due to the singular, short-distance structure of ${ϵ}_K$, we must perform a short-distance subtraction and introduce a corresponding low-energy constant determined from perturbation theory, which we calculate at Next Leading Order (NLO). We perform the calculation on a $24^3\times 64$ lattice with a pion mass of 329 MeV. This work is a complete calculation, which includes all connected and disconnected diagrams.

Comments: 7 pages, 3 figures. proceeding for 34th International Symposium on Lattice Field Theory