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# 36th Annual International Symposium on Lattice Field Theory

22-28 July 2018
Kellogg Hotel and Conference Center
EST timezone

## SMOM - $\overline{\mbox{MS}}$ Matching for $B_K$ at Two-loop Order

Jul 26, 2018, 8:50 AM
20m
104 (Kellogg Hotel and Conference Center)

### 104

#### Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824
Standard Model Parameters and Renormalization

### Speaker

Ms Sandra Kvedaraite (University of Sussex)

### Description

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-pertubatively 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 talk I am going to present a 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 pertubation theory. The calculation is performed using the loop integral solving techniques such as integration by parts and sector decomposition.

### Primary authors

Ms Sandra Kvedaraite (University of Sussex) Dr Sebastian Jaeger (University of Sussex)

 Slides