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Non-perturbative renormalization of kaon four-quark operators with n f = 2 + 1 Domain Wall fermions

We present our strategy and some preliminary results for the renormalization of four-quark operators relevant for kaon physics. We follow the non-perturbative Rome-Southampton method, with both exceptional and non-exceptional kinematics. We also implement momentum sources and twisted boundary conditions. We use an (almost) unitary setup: Domain-Wall valence on n f = 2+1 Domain-Wall sea and Iwasaki gauge action, at two values of the lattice spacing corresponding to approximately 0.086 fm and 0.114 fm . The chiral properties of these fermions play a crucial role in this compuation and are studied in detail in this work.