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In this work we calculate the corrections to the amputated Green's functions of 4-fermion operators, in 1-loop Lattice Perturbation theory. One of the novel aspects of our calculations is that they are carried out to O(a^2) (a: lattice…

A numerical calculation of the lattice staggered renormalisation constants at $\beta = 5.35$, $m = 0.01$ is presented. It is seen that there are considerable non-perturbative effects present. As an application the vector decay constant…

高能物理 - 格点 · 物理学 2009-10-22 R. Altmeyer , K. D. Born , M. Goeckeler , R. Horsley , E. Laermann , G. Schierholz

We present preliminary result for the study of the renormalization group evolution of tensor bilinears in Schr\"odinger Functional (SF) schemes for $N_f=0$ and $N_f=2$ QCD with non-perturbatively $\mathcal{O}(a)$-improved Wilson fermions.…

高能物理 - 格点 · 物理学 2015-11-26 Patrick Fritzsch , Carlos Pena , David Preti

The analytical expressions and the numerical values of the renormalisation constants of dimension 3 static-light currents are given at one-loop order of perturbation theory in the framework of Heavy Quark Effective Theory and with an…

高能物理 - 格点 · 物理学 2013-05-29 Benoit Blossier

We apply a recently introduced non-perturbative renormalization method to two types of lattice operators: the $\Delta S=2$ four fermion operator and the heavy-light static axial current, which are relevant for the physics of $K$ and $B$…

高能物理 - 格点 · 物理学 2009-10-09 A. Donini , V. Gimenez , G. Martinelli , C. T. Sachrajda , M. Talevi , A. Vladikas

The running of renormalized quark masses is computed in lattice QCD with two flavors of massless O(a) improved Wilson quarks. The regularization and flavor independent factor that relates running quark masses to the renormalization group…

高能物理 - 格点 · 物理学 2009-11-11 Michele Della Morte , Roland Hoffmann , Francesco Knechtli , Juri Rolf , Rainer Sommer , Ines Wetzorke , Ulli Wolff

We present a study of the systematic effects in the nonperturbative evaluation of the renormalization constants which appear in the field-theoretical determination of the topological susceptibility in pure Yang-Mills theory. The study is…

高能物理 - 格点 · 物理学 2016-09-01 B. Alles , M. D'Elia , A. Di Giacomo , C. Pica

A Ginsparg-Wilson based calibration of the topological charge is used to calculate the renormalization constants which appear in the field-theoretical determination of the topological susceptibility on the lattice. A systematic comparison…

高能物理 - 格点 · 物理学 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo , C. Pica

We apply non-perturbative renormalization to bilinears composed of improved staggered fermions. We explain how to generalize the method to staggered fermions in a way which is consistent with the lattice symmetries, and introduce a new type…

高能物理 - 格点 · 物理学 2013-10-18 Andrew T. Lytle , Stephen R. Sharpe

We have computed the light and strange quark masses and the renormalization constants of the quark bilinear operators, by studying the large-p^2 behaviour of the lattice quark propagator and 3-point functions. The calculation is…

高能物理 - 格点 · 物理学 2015-06-25 D. Becirevic , V. Lubicz , G. Martinelli , M. Testa

We present a real-space renormalization group transformation with continuous scale change to calculate the continuous renormalization group $\beta$ function in non-perturbative lattice simulations. Our method is motivated by the connection…

高能物理 - 格点 · 物理学 2020-03-10 Anna Hasenfratz , Oliver Witzel

It is shown that the renormalisation constants of two quark operators can be accurately determined (to a precision of a few per-cent using 18 gluon configurations) using Chiral Ward identities. A method for computing renormalisation…

高能物理 - 格点 · 物理学 2009-10-09 C. T. Sachrajda

We report on a high statistics quenched lattice QCD calculation of the deep-inelastic structure functions $F_1$, $F_2$, $g_1$ and $g_2$ of the proton and neutron. The theoretical basis for the calculation is the operator product expansion.…

高能物理 - 格点 · 物理学 2008-11-26 M. Göckeler , R. Horsley , E. -M. Ilgenfritz , H. Perlt , P. Rakow , G. Schierholz , A. Schiller

We compute the one-loop lattice renormalization of the two-quark operators $\bar{\psi} \Gamma \psi$, where $\Gamma$ denotes the generic Dirac matrix, for the lattice formulation of QCD using the overlap-Dirac operator. We also study the…

高能物理 - 格点 · 物理学 2008-11-26 C. Alexandrou , E. Follana , H. Panagopoulos , E. Vicari

We present our results on the non-perturbative evaluation of the renormalization constant for the quark field, $Z_q$, in Landau gauge within RI-MOM scheme. Using three lattice spacing we are able to isolate lattice artefacts of various…

高能物理 - 格点 · 物理学 2011-01-27 K. Petrov

The RI/MOM non-perturbative renormalization scheme is studied on the lattice in SU(3) quenched QCD with Wilson fermions. The gauge dependence of some fermion bilinear renormalization constants is discussed by comparing data which have been…

高能物理 - 格点 · 物理学 2009-11-07 L. Giusti , S. Petrarca , B. Taglienti , N. Tantalo

We present a 1-loop perturbative calculation of the fermion propagator, up to O(a^2) (a: lattice spacing). The fermions are described by Wilson, clover and twisted-mass actions; for gluons we use Symanzik improved actions (Plaquette,…

高能物理 - 格点 · 物理学 2010-11-05 Martha Constantinou , Haralambos Panagopoulos , Fotos Stylianou

We present results of a quenched QCD simulation with overlap fermions on a lattice of volume V = 16^3X32 at beta=6.0, which corresponds approximatively to a lattice cutoff of 2 GeV and an extension of 1.4 fm. From the two-point correlation…

高能物理 - 格点 · 物理学 2015-06-25 L. Giusti , C. Hoelbling , C. Rebbi

We present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete dependence on the covariant gauge parameter $\xi$ in the minimal subtraction scheme of…

高能物理 - 唯象学 · 物理学 2018-01-24 K. G. Chetyrkin , G. Falcioni , F. Herzog , J. A. M. Vermaseren

We describe an algebraic algorithm which allows to express every one-loop lattice integral with gluon or Wilson-fermion propagators in terms of a small number of basic constants which can be computed with arbitrary high precision. Although…

高能物理 - 格点 · 物理学 2009-10-28 Giuseppe Burgio , Sergio Caracciolo , Andrea Pelissetto