$K\to \pi \pi$ decay matrix elements at the physical point with periodic boundary conditions

Abstract

We calculate $K\to \pi \pi$ matrix elements using periodic boundary conditions as an independent calculation from our previous study with G-parity boundary conditions. We present our preliminary results for $K\to \pi \pi$ three-point functions and matrix elements on a $24^3,a^{-1}=1$~GeV, $2+1$-flavor Möbius DWF ensemble at physical pion and kaon masses generated by the RBC and UKQCD collaborations and discuss the prospect for high-precision computation of ${\epsilon }^{\prime }$ with periodic boundary conditions.

Comments: Proceedings of the 38th International Symposium on Lattice Field Theory (Lattice 2021), July 26-30, 2021, Zoom/Gather@MIT