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

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.

22 pages, 5 figures

References in corpus (7)

• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• Non-perturbative renormalization of quark bilinear operators and B_K using domain wall fermions
• Two-loop matching factors for light quark masses and three-loop mass anomalous dimensions in the RI/SMOM schemes
• Precise MS-bar light-quark masses from lattice QCD in the RI/SMOM scheme
• RI'/SMOM scheme amplitudes for quark currents at two loops
• Two loop renormalization of the n = 2 Wilson operator in the RI'/SMOM scheme
• RI'/SMOM scheme amplitudes for deep inelastic scattering operators at one loop in QCD

Cited by in corpus (4)

• $K\to \pi \pi$ $\Delta I=3/2$ decay amplitude in the continuum limit
• $K_L-K_S$ mass difference from lattice QCD
• Neutral kaon mixing beyond the Standard Model with nf=2+1 chiral fermions part II: Non Perturbative Renormalisation of the $\Delta F=2$ four-quark operators
• $K_L$ - $K_S$ mass difference computed with a 171 MeV pion mass