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In this paper, we examine the effect of nonzero quark masses on the renormalization of gauge-invariant nonlocal quark bilinear operators, including a finite-length Wilson line (called Wilson-line operators). These operators are relevant to…

High Energy Physics - Lattice · Physics 2018-07-25 G. Spanoudes , H. Panagopoulos

Quark bilinear operators with staple-shaped Wilson lines are used to study transverse-momentum-dependent parton distribution functions (TMDPDFs) from lattice quantum chromodynamics (QCD). Here, the renormalization factors for the isovector…

High Energy Physics - Lattice · Physics 2020-04-15 Phiala Shanahan , Michael L. Wagman , Yong Zhao

We study 4-dimensional SQCD with gauge group SU(Nc) and Nf flavors of chiral supermultiplets on the lattice. We perform extensive calculations of matrix elements and renormalization factors of composite operators in Perturbation Theory. In…

High Energy Physics - Lattice · Physics 2018-12-04 Marios Costa , Haralambos Panagopoulos

Working in a quenched setup with Wilson twisted mass valence fermions, we explore the possibility to compute non-perturbatively the step scaling function using the coordinate (X-space) renormalization scheme. This scheme has the advantage…

High Energy Physics - Lattice · Physics 2016-10-04 Krzysztof Cichy , Karl Jansen , Piotr Korcyl

Renormalization factors for local vector and axial vector currents for the Wilson quark action are perturbatively calculated to one loop order including finite quark masses from the ratio of the on-shell quark matrix elements in the Feynman…

High Energy Physics - Lattice · Physics 2009-10-30 Yoshinobu Kuramashi

Using overlap as well as Wilson fermions, we have computed the one-loop renormalization factors of ten non-singlet operators which measure the third moment of quark momentum and helicity distributions (the lowest two having been computed in…

High Energy Physics - Lattice · Physics 2009-10-31 Stefano Capitani

We compute the renormalised four-fermion operator $O^{\Delta S=2}$ using a non-perturbative method recently introduced for determining the renormalisation constants of generic lattice composite operators. Because of the presence of the…

High Energy Physics - Lattice · Physics 2009-10-09 A. Donini , G. Martinelli , C. T. Sachrajda , M. Talevi , A. Vladikas

The renormalization of the most general dimension-six four-fermion operators without power subtractions is studied at one loop in lattice perturbation theory using overlap fermions. As expected, operators with different chirality do not mix…

High Energy Physics - Lattice · Physics 2009-10-31 S. Capitani , L. Giusti

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

The gradient flow exponentially suppresses ultraviolet field fluctuations and removes ultraviolet divergences (up to a multiplicative fermionic wavefunction renormalization). It can be used to describe real-space Wilsonian renormalization…

High Energy Physics - Lattice · Physics 2022-02-21 Anna Hasenfratz , Christopher J. Monahan , Matthew D. Rizik , Andrea Shindler , Oliver Witzel

We study $4$-dimensional SQCD with gauge group $SU(N_c)$ and $N_f$ flavors of chiral super-multiplets on the lattice. We perform extensive calculations of matrix elements and renormalization factors of composite operators in Perturbation…

High Energy Physics - Lattice · Physics 2019-05-08 M. Costa , H. Panagopoulos

We present results for the renormalisation constants of bilinear quark operators, using the Nf=2 twisted mass Wilson action at maximal twist (which guarantees automatic O(a) improvement) and the tree-level Symanzik improved gauge action.…

High Energy Physics - Lattice · Physics 2009-04-14 P. Dimopoulos , R. Frezzotti , G. Herdoiza , V. Lubicz , M. Papinutto , S. Simula , A. Vladikas

We generalize to composite operators concepts and techniques which have been successful in proving renormalization of the effective Action in light-cone gauge. Gauge invariant operators can be grouped into classes, closed under…

High Energy Physics - Theory · Physics 2009-10-22 C. Acerbi , A. Bassetto

In order to extract transport quantities from energy-momentum-tensor (EMT) correlators in Lattice QCD there is a strong need for a non-perturbative renormalization of these operators. This is due to the fact that the lattice regularization…

High Energy Physics - Lattice · Physics 2013-10-24 Daniel Robaina , Harvey B. Meyer

Recently new methods have been introduced to investigate the non-renormalization properties of the anomalies at a non perturbative level and in presence of a lattice. The issue is relevant in a number of problems ranging from the…

High Energy Physics - Lattice · Physics 2023-12-19 V. Mastropietro

Quasi-PDFs provide a path toward an ab initio calculation of parton distribution functions (PDFs) using lattice QCD. One of the problems faced in calculations of quasi-PDFs is the renormalization of a nonlocal operator. By introducing an…

High Energy Physics - Lattice · Physics 2018-07-18 Jeremy Green , Karl Jansen , Fernanda Steffens

We present first results from a simulation of quenched overlap fermions with improved gauge field action. Among the quantities we study are the spectral properties of the overlap operator, the chiral condensate and topological charge, quark…

High Energy Physics - Lattice · Physics 2008-11-26 D. Galletly , M. Gürtler , R. Horsley , B. Joo , A. D. Kennedy , H. Perlt , B. J. Pendleton , P. E. L. Rakow , G. Schierholz , A. Schiller , T. Streuer

By imposing axial and vector Ward identities for flavour-non-singlet currents, we estimate in the quenched approximation the non-perturbative values of combinations of improvement coefficients, which appear in the expansion around the…

High Energy Physics - Lattice · Physics 2009-10-30 G. M. de Divitiis , R. Petronzio

We present the vector, scalar and tensor renormalization constants (RCs) using overlap fermions with either regularization independent momentum subtraction (RI/MOM) or symmetric momentum subtraction (RI/SMOM) as the intermediate scheme on…

High Energy Physics - Lattice · Physics 2023-01-04 Fangcheng He , Yu-Jiang Bi , Terrence Draper , Keh-Fei Liu , Zhaofeng Liu , Yi-Bo Yang

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