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arXiv · 1104.4948

Matching factors for Delta S=1 four-quark operators in RI/SMOM schemes

Christoph Lehner·Christian Sturm
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Abstract

The non-perturbative renormalization of four-quark operators plays a significant role in lattice studies of flavor physics. For this purpose, we define regularization-independent symmetric momentum-subtraction (RI/SMOM) schemes for Delta S=1 flavor-changing four-quark operators and provide one-loop matching factors to the MS-bar scheme in naive dimensional regularization. The mixing of two-quark operators is discussed in terms of two different classes of schemes. We provide a compact expression for the finite one-loop amplitudes which allows for a straightforward definition of further RI/SMOM schemes.

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Christoph Lehner, Christian Sturm. 2011-04-26. Matching factors for Delta S=1 four-quark operators in RI/SMOM schemes. https://doi.org/10.1103/physrevd.84.014001

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