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Related papers: Numerical Exploration of the RI/MOM Scheme Gauge D…

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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…

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

We analyze the lattice spacing dependence for the pion unpolarized matrix element of a quark bilinear operator with Wilson link (quasi-PDF operator) in the rest frame, using 13 lattice spacings ranging from 0.032 fm to 0.121 fm. We compare…

High Energy Physics - Lattice · Physics 2021-10-13 Kuan Zhang , Yuan-Yuan Li , Yi-Kai Huo , Andreas Schäfer , Peng Sun , Yi-Bo Yang

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 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

We discuss a specific cut-off effect which appears in applying the non-perturbative RI/MOM scheme to compute the renormalization constants. To illustrate the problem a Dirac operator satisfying the Ginsparg-Wilson relation is used, but the…

High Energy Physics - Lattice · Physics 2008-07-02 Vidushi Maillart , Ferenc Niedermayer

We study the renormalization of the fermion mixing matrix in the Standard Model and derive the constraints that must be satisfied to respect gauge invariance to all orders. We demonstrate that the prescription based on the {\it on-shell}…

High Energy Physics - Phenomenology · Physics 2009-10-31 P. Gambino , P. A. Grassi , F. Madricardo

We analyze the gauge fixing precision dependence of some non-local quark-blinear lattice operators interesting in computing parton physics for several measurements, using 5 lattice spacings ranging from 0.032 fm to 0.121 fm. Our results…

High Energy Physics - Lattice · Physics 2024-05-24 Kuan Zhang , Yi-Kai Huo , Xiangdong Ji , Andreas Schaefer , Chun-Jiang Shi , Peng Sun , Wei Wang , Yi-Bo Yang , Jian-Hui Zhang

We revisit the issue of mixing matrix renormalization in theories that include Dirac or Majorana fermions. We show how a gauge-variant on-shell renormalized mixing matrix can be related to a manifestly gauge-independent one within a…

High Energy Physics - Phenomenology · Physics 2009-11-07 Apostolos Pilaftsis

We present new results for the renormalisation and subtraction constants for the four fermion Delta F=2 operators, computed non-perturbatively in the RI-MOM scheme (in the Landau gauge). From our preliminary analysis of the lattice data at…

High Energy Physics - Lattice · Physics 2015-06-25 D. Becirevic , V. Gimenez , V. Lubicz , G. Martinelli , M. Papinutto , J. Reyes

We analyze the behavior of several renormalization group functions at infrared fixed points for $SU(N)$ gauge theories with fermions in the fundamental and two-indexed representations. This includes the beta function of the gauge coupling,…

High Energy Physics - Phenomenology · Physics 2014-03-18 Thomas A. Ryttov

We present preliminary results of the non-perturbative computation of the RI-MOM renormalisation constants in a mass-independent scheme for the action with Iwasaki glue and four dynamical Wilson quarks employed by ETMC. Our project requires…

Renormalization constants (RCs) of overlap quark bilinear operators on 2+1-flavor domain wall fermion configurations are calculated by using the RI/MOM and RI/SMOM schemes. The scale independent RC for the axial vector current is computed…

High Energy Physics - Lattice · Physics 2018-05-09 Yujiang Bi , Hao Cai , Ying Chen , Ming Gong , Keh-Fei Liu , Zhaofeng Liu , Yi-Bo Yang

We propose a non-perturbative procedure to fix generic covariant gauges on the lattice. Varying the gauge parameter, this gauge fixing provides a concrete method to check numerically the gauge dependence of correlators measured on the…

High Energy Physics - Lattice · Physics 2009-10-31 L. Giusti , M. L. Paciello , S. Petrarca , B. Taglienti

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

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

We perform a comparative study of the ratio of lattice (Wilson fermion) renormalization constants Z_P/Z_S, obtained non-perturbatively from the RI/MOM renormalization conditions and from Ward Identities of on- and off-shell Green's…

High Energy Physics - Lattice · Physics 2009-10-31 L. Giusti , A. Vladikas

We discuss the gauge dependence of fermion mass definition and physical result under the conventional on-shell mass renormalization scheme and the recently proposed pole mass renormalization scheme in standard model. By the two-loop…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yong Zhou

We study the influence of Gribov copies, in the Landau gauge, on the lattice renormalisation constant of the axial current, obtained from a Ward identity on quark state correlation functions, with the Clover action, in quenched SU(3) gauge…

High Energy Physics - Lattice · Physics 2009-10-22 Maria Luigia Paciello , Silvano Petrarca , Bruno Taglienti , Anastassios Vladikas

Causal fermion systems incorporate local gauge symmetry in the sense that the Lagrangian and all inherent structures are invariant under local phase transformations of the physical wave functions. In the present paper it is explained and…

Mathematical Physics · Physics 2020-08-10 Felix Finster , Sebastian Kindermann

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
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