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We discuss how the peculiar properties of maximally twisted Wilson fermions can be exploited to set up a consistent LQCD computational scheme in which the CP-conserving matrix elements of the ΔS=1,2 effective weak Hamiltonian can be evaluated without mixing with wrong-chirality and/or -parity operators. The proposed lattice framework guarantees automatic O(a) improvement and positive determinant also for pairs of non-degenerate quarks.

Four quark operators in maximally twisted Wilson LQCD