We present preliminary results of a non-perturbative study of the scale-dependent renormalization constants of a complete basis of ∆F = 2 parity-odd four-fermion operators that enter the computation of hadronic B-parameters within the Standard Model (SM) and beyond. We consider non-perturbatively O(a) improved Wilson fermions and our gauge configurations contain two flavors of massless sea quarks. The mixing pattern of these operators is the same as for a regularization that preserves chiral symmetry, in particular there is a "physical" mixing between some of the operators. The renormalization group running matrix is computed in the continuum limit for a family of Schrödinger Functional (SF) schemes through finite volume recursive techniques. We compute non-perturbatively the relation between the renormalization group invariant operators and their counterparts renormalized in the SF at a low energy scale, together with the non-perturbative matching matrix between the lattice regularized theory and the various SF schemes.
Non-perturbative renormalization and running of ΔF = 2 four-fermion operators in the SF scheme / Papinutto, MAURO LUCIO; Carlos, Pena; David, Preti. - In: POS PROCEEDINGS OF SCIENCE. - ISSN 1824-8039. - ELETTRONICO. - LATTICE2014:(2015). (Intervento presentato al convegno 32nd International Symposium on Lattice Field Theory tenutosi a Brookhaven, NY, USA).
Non-perturbative renormalization and running of ΔF = 2 four-fermion operators in the SF scheme
PAPINUTTO, MAURO LUCIO;
2015
Abstract
We present preliminary results of a non-perturbative study of the scale-dependent renormalization constants of a complete basis of ∆F = 2 parity-odd four-fermion operators that enter the computation of hadronic B-parameters within the Standard Model (SM) and beyond. We consider non-perturbatively O(a) improved Wilson fermions and our gauge configurations contain two flavors of massless sea quarks. The mixing pattern of these operators is the same as for a regularization that preserves chiral symmetry, in particular there is a "physical" mixing between some of the operators. The renormalization group running matrix is computed in the continuum limit for a family of Schrödinger Functional (SF) schemes through finite volume recursive techniques. We compute non-perturbatively the relation between the renormalization group invariant operators and their counterparts renormalized in the SF at a low energy scale, together with the non-perturbative matching matrix between the lattice regularized theory and the various SF schemes.File | Dimensione | Formato | |
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