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Non-Perturbative Renormalization of Lattice Four-Fermion Operators without Power Subtractions
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abstract
A general non-perturbative analysis of the renormalization properties of $\Delta I=3/2$ four-fermion operators in the framework of lattice regularization with Wilson fermions is presented. We discuss the non-perturbative determination of the operator renormalization constants in the lattice Regularization Independent (RI or MOM) scheme. We also discuss the determination of the finite lattice subtraction coefficients from Ward Identities. We prove that, at large external virtualities, the determination of the lattice mixing coefficients, obtained using the RI renormalization scheme, is equivalent to that based on Ward Identities, in the continuum and chiral limits. As a feasibility study of our method, we compute the mixing matrix at several renormalization scales, for three values of the lattice coupling $\beta$, using the Wilson and tree-level improved SW-Clover actions.
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Long distance contributions to neutral $D$-meson mixing from lattice QCD
The authors propose and analyze a spectral-reconstruction method for lattice QCD that could determine the long-distance contributions to D0-Dbar0 mixing parameters x and y from first principles.
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