SMOM - $\overline{MS}$ Matching for $B_K$ at Two-loop Order
Abstract
The Kaon bag parameter, $B_K$, is a key non-perturbative ingredient in the search for new physics through CP-violation. It parameterizes the QCD hadronic matrix element of the effective weak $\Delta S=2$ four-quark operator which can only be computed non-perturbatively on the lattice. The perturbative matching of $B_K$ between the lattice renormalization schemes and $\overline{\mbox{MS}}$ scheme has been done before at one-loop order. In this proceedings we describe an ongoing calculation of the conversion factors for $B_K$ between the four non-exceptional RI-SMOM schemes and the $\overline{\mbox{MS}}$ scheme at two-loop order in perturbation theory.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2019
- DOI:
- 10.48550/arXiv.1901.06861
- arXiv:
- arXiv:1901.06861
- Bibcode:
- 2019arXiv190106861J
- Keywords:
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- High Energy Physics - Phenomenology;
- High Energy Physics - Lattice
- E-Print:
- 5 pages, 3 figures, proceedings of the 36th Annual International Symposium on Lattice Field Theory - LATTICE2018