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

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

2011-04-26

arxiv.org/abs/1104.4948v1

Phys.Rev.D84:014001,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, 5 figures

Scientific paper

10.1103/PhysRevD.84.014001

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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