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.
Cite
@article{arxiv.1104.4948,
title = {Matching factors for Delta S=1 four-quark operators in RI/SMOM schemes},
author = {Christoph Lehner and Christian Sturm},
journal= {arXiv preprint arXiv:1104.4948},
year = {2011}
}