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Perturbative and non-perturbative results on the renormalization constants of the fermion field and the twist-2 fermion bilinears are presented with emphasis on the non-perturbative evaluation of the one-derivative twist-2 vector and axial…

High Energy Physics - Lattice · Physics 2011-04-01 C. Alexandrou , M. Constantinou , T. Korzec , H. Panagopoulos , F. Stylianou

Recent developments in non-perturbative renormalization for lattice QCD are reviewed with a particular emphasis on RI/MOM scheme and its variants, RI/SMOM schemes. Summary of recent developments in Schroedinger functional scheme, as well as…

High Energy Physics - Lattice · Physics 2015-03-17 Yasumichi Aoki

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…

High Energy Physics - Lattice · Physics 2011-01-27 K. Petrov

The renormalization factors of local quark-bilinear operators are computed non-perturbatively for $N_f=3$ flavors of SLiNC fermions, with emphasis on the various procedures for the chiral and continuum extrapolations. The simulations are…

High Energy Physics - Lattice · Physics 2015-01-14 M. Constantinou , R. Horsley , H. Panagopoulos , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller , J. M. Zanotti

The gauge dependence of some fermion bilinear RI/MOM renormalization constants is studied by comparing data which have been gauge-fixed in two different realizations of the Landau gauge and in a generic covariant gauge. The very good…

High Energy Physics - Lattice · Physics 2009-11-07 L. Giusti , S. Petrarca , B. Taglienti , N. Tantalo

We compute non-perturbative renormalization constants of fermionic bilinears for the chirally improved lattice fermions in the quenched approximation of QCD. We address finite size effects and the influence of Gribov copies. Our results are…

High Energy Physics - Lattice · Physics 2014-11-17 Christof Gattringer , M. Göckeler , Philipp Huber , C. B. Lang

We present results concerning the non-perturbative evaluation of the renormalisation constant for the quark field, $Z_q$, from lattice simulations with twisted mass quarks and three values of the lattice spacing. We use the RI'-MOM scheme.…

High Energy Physics - Phenomenology · Physics 2011-05-05 B. Blossier , Ph. Boucaud , M. Brinet , F. De Soto , Z. Liu , V. Morenas , O. Pène , K. Petrov , J. Rodríguez-Quintero

We propose a strategy for large volume non-perturbative renormalization which alleviates the window problem by reducing cut-off effects. We perform a proof-of-concept study using position space renormalization scheme and the CLS $N_f=2+1$…

High Energy Physics - Lattice · Physics 2017-05-18 Piotr Korcyl

We investigate the perturbative and nonperturbative renormalization of composite operators in lattice QCD restricting ourselves to operators that are bilinear in the quark fields (quark-antiquark operators). These include operators which…

High Energy Physics - Lattice · Physics 2012-11-07 M. Göckeler , R. Horsley , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , A. Schäfer , G. Schierholz , A. Schiller , H. Stüben , J. M. Zanotti

Renormalization factors relate the observables obtained on the lattice to their measured counterparts in the continuum in a suitable renormalization scheme. They have to be computed very precisely which requires a careful treatment of…

High Energy Physics - Lattice · Physics 2013-10-25 M. Constantinou , M. Costa , M. Gockeler , R. Horsley , H. Panagopoulos , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

A general strategy to solve the non-perturbative renormalization problem in lattice QCD, using finite-size techniques and numerical simulations, is described. As an illustration we discuss the computation of the axial current normalization…

High Energy Physics - Lattice · Physics 2009-10-28 Karl Jansen , Chuan Liu , Martin Luescher , Hubert Simma , Stefan Sint , Rainer Sommer , Peter Weisz , Ulli Wolff

In this paper we present an improved RI-type prescription appropriate for the non-perturbative renormalization of gauge invariant nonlocal operators. In this prescription, the non-perturbative vertex function is improved by subtracting…

High Energy Physics - Lattice · Physics 2023-01-18 Martha Constantinou , Haralambos Panagopoulos

We briefly review and compare three methods (one perturbative, one based on Ward Identities and one non-perturbative) for the calculation of the renormalization constants of lattice operators. The following results are presented: (a) non…

High Energy Physics - Lattice · Physics 2009-10-28 A. Vladikas

We calculate the renormalization constants (RCs) of vector, axial, vector scalar, pseudoscalar and tensor quark operators of the overlap valence fermion, on the 11 gauge ensembles with dynamical fermion using either Domain wall…

High Energy Physics - Lattice · Physics 2021-12-08 Fangcheng He , Yi-Bo Yang

This is the third of a series of papers on three-loop computation of renormalization constants for Lattice QCD. Our main point of interest are results for the regularization defined by Iwasaki gauge action and n_f=4 Wilson fermions. Our…

High Energy Physics - Lattice · Physics 2015-06-18 M. Brambilla , F. Di Renzo , M. Hasegawa

We examine the renormalisation of flavour-diagonal vector currents in lattice QCD with the aim of understanding and quantifying the systematic errors from nonperturbative artefacts associated with the use of intermediate…

High Energy Physics - Lattice · Physics 2019-12-25 D. Hatton , C. T. H. Davies , G. P. Lepage , A. T. Lytle

Using the overlap-Dirac operator proposed by Neuberger, we have computed in lattice QCD the one-loop renormalization factors of ten operators which measure the lowest two moments of unpolarized and polarized non-singlet quark distributions.…

High Energy Physics - Lattice · Physics 2015-06-25 Stefano Capitani

A recent proposal suggests that even if a Ginsparg-Wilson lattice Dirac operator does not possess any topological zero modes in topologically-nontrivial gauge backgrounds, it can reproduce correct axial anomaly for sufficiently smooth gauge…

High Energy Physics - Lattice · Physics 2011-02-16 Ting-Wai Chiu , Tung-Han Hsieh

We extend the Rome-Southampton regularization independent momentum-subtraction renormalization scheme(RI/MOM) for bilinear operators to one with a nonexceptional, symmetric subtraction point. Two-point Green's functions with the insertion…

High Energy Physics - Phenomenology · Physics 2010-05-12 C. Sturm , Y. Aoki , N. H. Christ , T. Izubuchi , C. T. C. Sachrajda , A. Soni

We study RI/MOM renormalization constants of bilinear quark operators for $N_f=4$ and the strong coupling constant for $N_f=2+1+1$ using Wilson twisted-mass fermions. We use the "egalitarian" method to remove H(4) hypercubic artifacts…

High Energy Physics - Lattice · Physics 2011-11-15 B. Blossier , Ph. Boucaud , M. Brinet , F. De Soto , X. Du , M. Gravina , Z. Liu , V. Morenas , O. Pène , K. Petrov , J. Rodríguez-Quintero