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We present renormalization constants of overlap quark bilinear operators on 2+1-flavor domain wall fermion configurations. This setup is being used by the chiQCD collaboration in calculations of physical quantities such as strangeness in…

High Energy Physics - Lattice · Physics 2014-08-27 Zhaofeng Liu , Ying Chen , Shao-Jing Dong , Michael Glatzmaier , Ming Gong , Anyi Li , Keh-Fei Liu , Yi-Bo Yang , Jian-Bo Zhang

We present preliminary results of a calculation of the QCD renormalization constants (RCs) for quark bilinear operators, evaluated non-perturbatively on the lattice in the RI'-MOM scheme. The calculation is performed by using dedicated…

High Energy Physics - Lattice · Physics 2021-11-25 Matteo Di Carlo , Martha Constantinou , Petros Dimopoulos , Roberto Frezzotti

In this paper we present one-loop results for the renormalization of nonlocal quark bilinear operators, containing a staple-shaped Wilson line, in both continuum and lattice regularizations. The continuum calculations were performed in…

High Energy Physics - Lattice · Physics 2019-04-24 Martha Constantinou , Haralambos Panagopoulos , Gregoris Spanoudes

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…

High Energy Physics - Lattice · Physics 2008-11-26 C. Alexandrou , E. Follana , H. Panagopoulos , E. Vicari

We compute non-perturbatively the renormalisation constants of composite operators on a $16^3 \times 32 $ lattice with lattice spacing $a$ = 0.093 fm for the overlap fermion action by using the regularisation independent (RI) scheme. The…

High Energy Physics - Lattice · Physics 2010-03-04 J. B. Zhang , D. B. Leinweber , K. F. Liu , A. G. Williams

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 present an evaluation of the quark mass renormalization factor for Nf=2+1 QCD. The Schroedinger functional scheme is employed as the intermediate scheme to carry out non-perturbative running from the low energy to deep in the high energy…

High Energy Physics - Lattice · Physics 2011-03-28 Yusuke Taniguchi

The translation of experimental limits on the neutron electric dipole moment into constraints on heavy $CP$-violating physics beyond the Standard Model requires knowledge about non-perturbative matrix elements of effective operators, which…

High Energy Physics - Lattice · Physics 2023-08-31 Jona Bühler , Peter Stoffer

Numerical Stochastic Perturbation Theory was able to get three- (and even four-) loop results for finite Lattice QCD renormalization constants. More recently, a conceptual and technical framework has been devised to tame finite size…

High Energy Physics - Lattice · Physics 2015-06-17 Michele Brambilla , Francesco Di Renzo

In this study, we explore the renormalization of a comprehensive set of gauge-invariant gluon nonlocal operators on the lattice. We calculate the renormalization factors for these operators in the modified Minimal Subtraction $(\rm…

High Energy Physics - Lattice · Physics 2025-01-14 Demetrianos Gavriel , Haralambos Panagopoulos , Gregoris Spanoudes

Using finite size scaling techniques and a renormalization scheme based on the Gradient Flow, we determine non-perturbatively the $\beta$-function of the $SU(3)$ Yang-Mills theory for a range of renormalized couplings $\bar g^2\sim 1-12$.…

High Energy Physics - Lattice · Physics 2019-10-02 Mattia Dalla Brida , Alberto Ramos

In these lectures, we discuss different types of renormalization problems in QCD and their non-perturbative solution in the framework of the lattice formulation. In particular the recursive finite size methods to compute the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Rainer Sommer

Lattice calculations of hadronic observables are aggravated by short-distance fluctuations. The gradient flow, which can be viewed as a particular realisation of the coarse-graining step of momentum space RG transformations, proves a…

High Energy Physics - Lattice · Physics 2021-12-14 K. U. Can , R. Horsley , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

Relativistic fermionic systems have physical quantities calculated by well stablished quantum electrodynamic prescriptions. In the last few years there has been an enormous interest in condensed matter systems in which the fermions exhibit…

Strongly Correlated Electrons · Physics 2020-02-19 Heron Caldas

We apply the Schroedinger Functional (SF) formalism to determine the renormalisation group running of four-fermion operators which appear in the effective weak Hamiltonian of the Standard Model. Our calculations are done using Wilson…

High Energy Physics - Lattice · Physics 2009-11-07 M. Guagnelli , J. Heitger , C. Pena , S. Sint , A. Vladikas

A short survey of the renormalization problem in QCD and its non-perturbative solution by means of numerical simulations on the lattice is given. Most emphasis is on scale dependent renormalizations, which can be reliably addressed via a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jochen Heitger

We compute non-perturbatively the renormalization constants of composite operators on a quenched $16^3 \times 28 $ lattice with lattice spacing $a$ = 0.20 fm for the overlap fermion by using the regularization independent (RI) scheme. The…

High Energy Physics - Lattice · Physics 2016-08-16 J. B. Zhang , N. Mathur , S. J. Dong , T. Draper , I. Horváth , F. X. Lee , D. B. Leinweber , K. F. Liu , A. G. Williams

We employ a new strategy for a non perturbative determination of the renormalized energy momentum tensor. The strategy is based on the definition of suitable lattice Ward identities probed by observables computed along the gradient flow.…

High Energy Physics - Lattice · Physics 2015-12-15 Francesco Capponi , Luigi Del Debbio , Agostino Patella , Antonio Rago

Non-perturbative renormalization factors of bilinear quark operators are computed for the Chirally Improved lattice action with two dynamic quarks. The analysis is based on five different parameter sets with lattice size 12^3 x 24 and four…

High Energy Physics - Lattice · Physics 2015-03-13 Philipp Huber

We calculate non-perturbative renormalization factors at hadronic scale for $\Delta S=2$ four-quark operators in quenched domain-wall QCD using the Schr\"{o}dinger functional method. Combining them with the non-perturbative renormalization…

High Energy Physics - Lattice · Physics 2019-08-14 Yousuke Nakamura , Sinya Aoki , Yusuke Taniguchi , Tomoteru Yoshié
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