M. Guagnelli

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We present results for the reference scale r0 in SU(3) Lattice Gauge Theory for β = 6/g2 0 in the range 5.7 ≤ β ≤ 6.57. The high relative accuracy of 0.3–0.6% in r0/a was achieved through good statistics, the application of a multi-hit procedure and a variational approach in the computation of Wilson loops. A precise definition of the force used to extract(More)
We give a continuum limit value of the lowest moment of a twist-2 operator in pion states from non-perturbative lattice calculations. We find that the non-perturbatively obtained renormalization group invariant matrix element is 〈x〉RGI = 0.179(11), which corresponds to 〈x〉 MS(2 GeV) = 0.246(15). In obtaining the renormalization group invariant matrix(More)
We explain how masses and matrix elements can be computed in lattice QCD using Schrödinger functional boundary conditions. Numerical results in the quenched approximation demonstrate that good precision can be achieved. For a statistical sample of the same size, our hadron masses have a precision similar to what is achieved with standard methods, but for(More)
We define a family of Schrödinger Functional renormalization schemes for the four-quark multiplicatively renormalizable operators of the ∆F = 1 and ∆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(More)
We compute charm and bottom quark masses in the quenched approximation and in the continuum limit of lattice QCD.We make use of a step scaling method, previously introduced to deal with two scale problems, that allows to keep the lattice cutoff always greater than the quark mass. We determine the RGI quark masses and make the connection to the MS scheme.(More)
We discuss the usage of continuous external momenta for computing renormalization factors as needed to renormalize operator matrix elements. These kind of external momenta are encoded in special boundary conditions for the fermion fields. The method allows to compute certain renormalization factors on the lattice that would have been very difficult, if not(More)
The renormalisation group running of the quark mass is determined non-perturbatively for a large range of scales, by computing the step scaling function in the Schrödinger Functional formalism of quenched lattice QCD both with and without O(a) improvement. A one-loop perturbative calculation of the discretisation effects has been carried out for both the(More)
Non-perturbative quark mass renormalization S. Capitani, M. Guagnelli, M. Lüscher, S. Sint, R. Sommer, P. Weisz and H. Wittig Deutsches Elektronen-Synchrotron DESY, Notkestrasse 85, D-22603 Hamburg, Germany CERN, Theory Division, CH-1211 Genève 23, Switzerland SCRI, The Florida State University, Tallahassee, FL 32306-4130, USA DESY-IfH Zeuthen,(More)