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Non-perturbative renormalization of left-left four-fermion operators in quenched lattice QCD - IOPscience

Non-perturbative renormalization of left-left four-fermion operators in quenched lattice QCD

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Published 28 March 2006 • Published under licence by IOP Publishing Ltd
, , Citation Alpha Collaboration et al JHEP03(2006)088 DOI 10.1088/1126-6708/2006/03/088

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Author affiliations

1 INFN, Sezione di Roma II, c/o Dipartimento di Fisica, Università di Roma ``Tor Vergata'', Via della Ricerca Scientifica 1, I-00133 Rome, Italy

2 Westfälische Wilhelms-Universität Münster, Institut für Theoretische Physik, Wilhelm-Klemm-Strasse 9, D-48149 Münster, Germany

3 CERN, Physics Department, TH Division, CH-1211 Geneva 23, Switzerland

4 Departamento de Física Teórica C-XI and Instituto de Física Teórica C-XVI, Universidad Autónoma de Madrid, Cantoblanco E-28049 Madrid, Spain

Dates

  1. Received 10 May 2005
  2. Accepted 16 March 2006
  3. Published

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1126-6708/2006/03/088

Abstract

We define a family of Schrödinger Functional renormalization schemes for the four-quark multiplicatively renormalizable operators of the ΔでるたF = 1 and ΔでるたF = 2 effective weak Hamiltonians. Using the lattice regularization with quenched Wilson quarks, we compute non-perturbatively the renormalization group running of these operators in the continuum limit in a large range of renormalization scales. Continuum limit extrapolations are well controlled thanks to the implementation of two fermionic actions (Wilson and Clover). The ratio of the renormalization group invariant operator to its renormalized counterpart at a low energy scale, as well as the renormalization constant at this scale, is obtained for all schemes.

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10.1088/1126-6708/2006/03/088