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

The nonperturbative 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) over 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.