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

Masaaki Tomii; Thomas Blum; Daniel Hoying; Taku Izubuchi; Luchang Jin; Chulwoo Jung; Amarjit Soni

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

High Energy Physics - Lattice 2022-01-10 v1

Authors: Masaaki Tomii , Thomas Blum , Daniel Hoying , Taku Izubuchi , Luchang Jin , Chulwoo Jung , Amarjit Soni

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 M\"obius DWF ensemble at physical pion and kaon masses generated by the RBC and UKQCD collaborations and discuss the prospect for high-precision computation of $\varepsilon'$ with periodic boundary conditions.

Keywords

k to pi pi decay matrix elements periodic boundary conditions mobius dwf rbc and ukqcd epsilon prime

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@article{arxiv.2201.02320,
  title  = {$K\to\pi\pi$ decay matrix elements at the physical point with periodic boundary conditions},
  author = {Masaaki Tomii and Thomas Blum and Daniel Hoying and Taku Izubuchi and Luchang Jin and Chulwoo Jung and Amarjit Soni},
  journal= {arXiv preprint arXiv:2201.02320},
  year   = {2022}
}

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

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

Abstract

Keywords

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