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PreprintarXiv licencearXiv

Two-loop RI/SMOM-MS̅ matching factors for the renormalization of bi-local operators contributing to εK

  • Erik Lundstrum
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Abstract

The measure of indirect CP violation in the neutral kaon system, εK, is an important precision test of the Standard Model. A first-principles Standard Model prediction of εK 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(αs) RI/SMOM - MS̅ matching factors required to renormalize a lattice QCD calculation of the long-distance contribution to εK.

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Cite

BibTeXRIS
BibTeX
@misc{lundstrum2026twoloop,
  title = {{Two-loop RI/SMOM-$\overline\textMS$ matching factors for the renormalization of bi-local operators contributing to $ε_K$}},
  author = {Erik Lundstrum},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.06734},
  eprint = {2610.06734},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.06734},
}
RIS
TY  - UNPB
TI  - Two-loop RI/SMOM-MS̅ matching factors for the renormalization of bi-local operators contributing to ε_K
AU  - Erik Lundstrum
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2610.06734
UR  - https://arxiv.org/abs/2610.06734
AB  - 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 - MS̅ matching factors required to renormalize a lattice QCD calculation of the long-distance contribution to ε_K.
ER  -