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We discuss the renormalisation properties of the complete set of $\Delta B = 2$ four-quark operators with the heavy quark treated in the static approximation. We elucidate the role of heavy quark symmetry and other symmetry transformations…

高能物理 - 格点 · 物理学 2009-11-11 F. Palombi , M. Papinutto , C. Pena , H. Wittig

When several four-quark operators are allowed to mix through renormalisation, this can considerably amplify the problems coming from perturbative truncation and discretisation effects. In this work we investigate whether our previous $B_K$…

高能物理 - 格点 · 物理学 2015-11-02 Julien Frison , Peter Boyle , Nicolas Garron

We present perturbative and non-perturbative results on the renormalization constants of the local and one-derivative vector and axial vector operators. Non-perturbative results are obtained using the twistedmassWilson fermion formulation…

高能物理 - 格点 · 物理学 2010-12-15 C. Alexandrou , M. Constantinou , T. Korzec , H. Panagopoulos , F. Stylianou

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…

高能物理 - 格点 · 物理学 2023-01-04 Fangcheng He , Yu-Jiang Bi , Terrence Draper , Keh-Fei Liu , Zhaofeng Liu , Yi-Bo Yang

We compute non-perturbatively the renormalization constants of composite operators for overlap fermions by using the regularization independent scheme. The scaling behavior of the renormalization constants is investigated using the data…

高能物理 - 格点 · 物理学 2007-05-23 J. B. Zhang , D. B. Leinweber , A. G. Williams

We present our preliminary results for the computation of the non-perturbative running of renormalized quark masses in $N_f = 3$ QCD, between the electroweak and hadronic scales, using standard finite-size scaling techniques. The…

高能物理 - 格点 · 物理学 2016-11-30 Isabel Campos , Patrick Fritzsch , Carlos Pena , David Preti , Alberto Ramos , Anastassios Vladikas

We present the calculation of $K\to\pi\pi$ matrix elements of electroweak penguin operators {\it i.e.} $Q_7$ and $Q_8$. In the numerical simulation, we use the gauge configurations generated by the combination of $N_f=2$ domain-wall…

高能物理 - 格点 · 物理学 2009-09-29 Jun Noaki

We consider the renormalization of the three-quark operators without derivatives at next-to-next-to-leading order in QCD perturbation theory at the symmetric subtraction point. This allows us to obtain conversion factors between the…

高能物理 - 唯象学 · 物理学 2023-06-14 Bernd A. Kniehl , Oleg L. Veretin

We compute non--perturbatively the renormalization coefficients of scalar and pseudoscalar operators, local vector and axial currents, conserved vector and axial currents, and $O_{LL}^{\Delta S=2}$ over a wide range of energy scales using a…

高能物理 - 格点 · 物理学 2007-05-23 Yuriy Zhestkov

The determination of renormalization factors is of crucial importance. They relate the observables obtained on finite, discrete lattices to their measured counterparts in the continuum in a suitable renormalization scheme. Therefore, they…

高能物理 - 格点 · 物理学 2012-11-06 M. Constantinou , M. Costa , M. Gockeler , R. Horsley , H. Panagopoulos , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

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…

高能物理 - 格点 · 物理学 2009-10-31 S. Capitani , L. Giusti

We present results for the first two moments of the light-cone distribution amplitudes of the pion and kaon pseudo-scalar mesons and of the rho, K* and phi vector mesons. The calculations are performed on the RBC/UKQCD collaborations'…

高能物理 - 格点 · 物理学 2019-08-14 P. A. Boyle , D. Brömmel , M. A. Donnellan , J. M. Flynn , A. Jüttner , C. T. Sachrajda

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…

高能物理 - 格点 · 物理学 2010-03-04 J. B. Zhang , D. B. Leinweber , K. F. Liu , A. G. Williams

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…

高能物理 - 格点 · 物理学 2018-05-09 Yujiang Bi , Hao Cai , Ying Chen , Ming Gong , Keh-Fei Liu , Zhaofeng Liu , Yi-Bo Yang

The non-perturbative renormalization of four-quark operators plays a significant role in lattice studies of flavor physics. For this purpose, we define regularization-independent symmetric momentum-subtraction (RI/SMOM) schemes for Delta…

高能物理 - 唯象学 · 物理学 2011-08-04 Christoph Lehner , Christian Sturm

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 consider a gauge-invariant, mass-independent prescription for renormalizing composite operators, regularized on the lattice, in the spirit of the coordinate space (X-space) renormalization scheme. The prescription involves only Green's…

高能物理 - 格点 · 物理学 2021-05-19 M. Costa , I. Karpasitis , G. Panagopoulos , H. Panagopoulos , T. Pafitis , A. Skouroupathis , G. Spanoudes

Staple-shaped Wilson line operators are necessary for the study of transverse momentum-dependent parton distribution functions (TMDPDFs) in lattice QCD and beyond. In this work, we study the renormalization of such operators in the general…

We demonstrate the use of the gradient flow combined with the short flow-time expansion (GF+SFTX) as a renormalization procedure for four-quark operator matrix elements and associated bag parameters relevant to neutral heavy-meson mixing…

高能物理 - 格点 · 物理学 2026-03-31 Matthew Black , Robert V. Harlander , Jonas T. Kohnen , Fabian Lange , Antonio Rago , Andrea Shindler , Oliver Witzel

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