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Volume 334 - The 36th Annual International Symposium on Lattice Field Theory (LATTICE2018) - Standard Model Parameters and Renormalization
Towards non-perturbative matching of three/four-flavor Wilson coefficients with aposition-space procedure
M. Tomii
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Published on: 2019 May 29
We propose a strategy to non-perturbatively match the Wilson coefficients in the three- and four-flavor theories, which uses two-point Green's functions of the corresponding four-quark operators at long distances. The idea is refined by combining with the spherical averaging technique, which enables us to convert two-point functions calculated on the lattice into continuous functions of the distance $|x-y|$ between two operators. We also show the result for an exploratory calculation of two-point functions of the $\Delta S=1$ operators $Q_7$ and $Q_8$ that are in the $(8_L,8_R)$ representation of ${\rm SU(3)}_L\times{\rm SU(3)}_R$ and mix with each other.
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