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SMOM - overline{MS} Matching for B_K at Two-loop Order

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arxiv 1901.06861 v1 pith:FCQ2X72P submitted 2019-01-21 hep-ph hep-lat

SMOM - overline{MS} Matching for B_K at Two-loop Order

classification hep-ph hep-lat
keywords orderoverlinelatticematchingmboxschemeschemestwo-loop
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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