Opening the Rome-Southampton window for operator mixing matrices

Details Opening the Rome-Southampton window for operator mixing matrices Opening the Rome-Southampton window for operator mixing matrices

2011-09-06

arxiv.org/abs/1109.1223v2

Physical Review D 85, 014501 (2012)

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, 7 figures. v2: PRD version, minor changes and few references added

Scientific paper

10.1103/PhysRevD.85.014501

We show that the running of operators which mix under renormalization can be computed fully non-perturbatively as a product of continuum step scaling matrices. These step scaling matrices are obtained by taking the "ratio" of Z matrices computed at different energies in an RI-MOM type scheme for which twisted boundary conditions are an essential ingredient. Our method allows us to relax the bounds of the Rome-Southampton window. We also explain why such a method is important in view of the light quark physics program of the RBC-UKQCD collaborations. To illustrate our method, using n_f=2+1 domain-wall fermions, we compute the non-perturbative running matrix of four-quark operators needed in K->pipi decay and neutral kaon mixing. Our results are then compared to perturbation theory.

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