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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…

高能物理 - 格点 · 物理学 2018-12-04 Marios Costa , Haralambos Panagopoulos

Renormalization factors for $\Delta S =1$ four-quark operators in the effective weak Hamiltonian are perturbatively evaluated in domain-wall QCD. The one-loop corrections of $\Delta S=1$ four-quark operators consist of two types of…

高能物理 - 格点 · 物理学 2009-10-31 Sinya Aoki , Yoshinobu Kuramashi

On configurations with 2+1-flavor dynamical domain-wall fermions, we calculate the RI/(S)MOM renormalization constants (RC) of overlap quark bilinears. Hypercubic (HYP) smearing is used to construct the overlap Dirac operator. We…

高能物理 - 格点 · 物理学 2023-10-03 Yujiang Bi , Ying Chen , Ming Gong , Fangcheng He , Keh-Fei Liu , Zhaofeng Liu , Yi-Bo Yang , Dian-Jun Zhao

Using non-perturbative techniques we have found the renormalisation factor, Z, in the RI-MOM scheme for quark bilinear operators in quenched QCD. We worked with overlap fermions using the Luescher-Weisz gauge action. Our calculation was…

高能物理 - 格点 · 物理学 2016-09-01 M. Gürtler , R. Horsley , P. E. L. Rakow , C. J. Roberts , G. Schierholz , T. Streuer

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…

高能物理 - 格点 · 物理学 2015-06-17 Michele Brambilla , Francesco Di Renzo

We calculate the non-forward quark matrix elements for operators with two covariant derivatives in one-loop lattice perturbation theory using Wilson fermions. These matrix elements are needed in the renormalisation of the second moment of…

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

We consider the renormalization of the matrix elements of the bilinear quark operators $\bar{\psi}\psi$, $\bar{\psi}\gamma_\mu\psi$, and $\bar{\psi}\sigma_{\mu\nu}\psi$ at next-to-next-to-next-to-leading order in QCD perturbation theory at…

高能物理 - 唯象学 · 物理学 2020-03-31 Bernd A. Kniehl , Oleg L. Veretin

We calculate one-loop renormalization factors for heavy-light bilinears as well as four-fermion operators relevant for $B^{0} - \bar{B}^{0}$ mixing calculations on the lattice. We use the static approximation for heavy quarks and the…

高能物理 - 格点 · 物理学 2008-11-26 Oleg Loktik , Taku Izubuchi

We study the self energies of all particles which appear in a lattice regularization of supersymmetric QCD (${\cal N}=1$). We compute, perturbatively to one-loop, the relevant two-point Green's functions using both the dimensional and the…

高能物理 - 格点 · 物理学 2017-04-05 M. Costa , H. Panagopoulos

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…

高能物理 - 格点 · 物理学 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

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…

高能物理 - 格点 · 物理学 2015-06-18 M. Brambilla , F. Di Renzo , M. Hasegawa

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…

高能物理 - 格点 · 物理学 2021-12-08 Fangcheng He , Yi-Bo Yang

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…

高能物理 - 格点 · 物理学 2021-11-25 Matteo Di Carlo , Martha Constantinou , Petros Dimopoulos , Roberto Frezzotti

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…

We present renormalization constants of overlap quark bilinear operators on 2+1-flavor domain wall fermion configurations. Both overlap and domain wall fermions have chiral symmetry on the lattice. The scale independent renormalization…

高能物理 - 格点 · 物理学 2013-12-03 Zhaofeng Liu , Ying Chen , Yi-Bo Yang , Shao-Jing Dong , Michael Glatzmaier , Ming Gong , Keh-Fei Liu , Anyi Li , Jian-Bo Zhang

We study the renormalization of four-quark operators in one-loop perturbation theory. We employ a coordinate-space Gauge-Invariant Renormalization Scheme (GIRS), which can be advantageous compared to other schemes, especially in…

高能物理 - 格点 · 物理学 2024-10-14 M. Constantinou , M. Costa , H. Herodotou , H. Panagopoulos , G. Spanoudes

In this work, the renormalization of the second-order QCD is analyzed at one-loop level, including an arbitrary chromomagnetic factor and quark self-interactions, which are mass dimension four operators in this framework. The model is shown…

高能物理 - 唯象学 · 物理学 2013-07-12 Carlos A. Vaquera-Araujo

We calculate one-loop renormalization factors of several quark operators including bilinear, three- and four-quark operator for domain-wall fermion action. Since Green functions are constructed for external physical quark fields, our…

高能物理 - 格点 · 物理学 2015-06-25 Sinya Aoki , Taku Izubuchi , Junichi Noaki , Yoshinobu Kuramashi , Yusuke Taniguchi

Renormalizability of a lattice chiral fermion is studied at one loop level in the overlap formulation in four dimensions. The fermion chirality is examined including the self-energy corrections due to gauge interactions. Divergent terms…

高能物理 - 格点 · 物理学 2009-10-30 Atsushi Yamada

Quark currents renormalization constants can in principle be safely computed in lattice perturbation theory. In practice, traditional lattice perturbative computations are quite cumbersome, so that so far only the first loop results were…

高能物理 - 格点 · 物理学 2007-05-23 F. Di Renzo , A. Mantovi , V. Miccio , C. Torrero , L. Scorzato