Two-loop RI/SMOM-$\overline{\text{MS}}$ matching factors for the renormalization of bi-local operators contributing to $ε_K$
Year: 2026
Type: preprint
Abstract: The measure of indirect CP violation in the neutral kaon system, $ε_K$, is an important precision test of the Standard Model. A first-principles Standard Model prediction of $ε_K$ requires evaluating the long-distance contribution in which the $ΔS = 2$ process proceeds via two $ΔS = 1$ operators. The non-perturbative nature of QCD in the relevant energy regimes requires a lattice QCD simulation. In this paper we present the two-loop, $O(α_s)$ RI/SMOM - $\overline{\text{MS}}$ matching factors required to renormalize a lattice QCD calculation of the long-distance contribution to $ε_K$.
Source: arXiv (Cornell University)
Author: Lundstrum, Erik
Institution: Columbia University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: U.S. Department of Energy
OpenAlex ID: W7220741891