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We present results from a study of the renormalisation of both quark bilinear and four-quark operators for the domain wall fermion action, using the non-perturbative renormalisation technique of the Rome-Southampton group. These results are…

High Energy Physics - Lattice · Physics 2011-07-19 Chris Dawson

The viability of the Non-Perturbative Renormalisation (NPR) method of the Rome/Southampton group is studied, for the first time, in the context of domain wall fermions. The procedure is used to extract the renormalisation coefficients of…

High Energy Physics - Lattice · Physics 2015-06-25 Chris Dawson

We present a first numerical implementation of a massive nonperturbative renormalisation scheme, RI/mSMOM, in the study of heavy quarks using the domain-wall fermion action. In particular, we calculate renormalisation constants for fermion…

High Energy Physics - Lattice · Physics 2023-12-29 Luigi Del Debbio , Felix Erben , Jonathan Flynn , Rajnandini Mukherjee , J. Tobias Tsang

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 present our strategy and some preliminary results for the renormalization of four-quark operators relevant for kaon physics. We follow the non-perturbative Rome-Southampton method, with both exceptional and non-exceptional kinematics. We…

High Energy Physics - Lattice · Physics 2015-03-18 Peter Boyle , Nicolas Garron

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…

High Energy Physics - Lattice · Physics 2007-05-23 J. B. Zhang , D. B. Leinweber , A. G. Williams

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 show that the running of operators which mix under renormalization can be computed fully non-perturbatively as a product of continuum step scaling matrices. These step scaling matrices are obtained by taking the "ratio" of Z matrices…

High Energy Physics - Lattice · Physics 2012-01-25 R. Arthur , P. A. Boyle , N. Garron , C. Kelly , A. T. Lytle

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

Recent developments in non-perturbative renormalization for lattice QCD are reviewed with a particular emphasis on RI/MOM scheme and its variants, RI/SMOM schemes. Summary of recent developments in Schroedinger functional scheme, as well as…

High Energy Physics - Lattice · Physics 2015-03-17 Yasumichi Aoki

High luminosity accelerators have greatly increased the interest in semi-exclusive and exclusive reactions involving nucleons. The relevant theoretical information is contained in the nucleon wavefunction and can be parametrized by moments…

A general non-perturbative analysis of the renormalization properties of $\Delta I=3/2$ four-fermion operators in the framework of lattice regularization with Wilson fermions is presented. We discuss the non-perturbative determination of…

High Energy Physics - Lattice · Physics 2011-09-13 A. Donini , V. Giménez , G. Martinelli , M. Talevi , A. Vladikas

We perform a non-perturbative study of the scale-dependent renormalization factors of a multiplicatively renormalizable basis of $\Delta{B}=2$ parity-odd four-fermion operators in quenched lattice QCD. Heavy quarks are treated in the static…

High Energy Physics - Lattice · Physics 2008-11-26 Filippo Palombi , Mauro Papinutto , Carlos Pena , Hartmut Wittig

We investigate the perturbative and nonperturbative renormalization of composite operators in lattice QCD restricting ourselves to operators that are bilinear in the quark fields (quark-antiquark operators). These include operators which…

High Energy Physics - Lattice · Physics 2012-11-07 M. Göckeler , R. Horsley , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , A. Schäfer , G. Schierholz , A. Schiller , H. Stüben , J. M. Zanotti

We present results for the non-perturbative renormalisation of four-fermion operators with two flavours of dynamical quarks. We consider both fully relativistic left current-left current operators, and a full basis for $\Delta B=2$…

High Energy Physics - Lattice · Physics 2008-11-26 P. Dimopoulos , G. Herdoiza , F. Palombi , M. Papinutto , C. Pena , A. Vladikas , H. Wittig

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

In this paper we present an improved RI-type prescription appropriate for the non-perturbative renormalization of gauge invariant nonlocal operators. In this prescription, the non-perturbative vertex function is improved by subtracting…

High Energy Physics - Lattice · Physics 2023-01-18 Martha Constantinou , Haralambos Panagopoulos

We present non-perturbative renormalization constants of fermionic bilinears on the lattice in the quenched approximation at beta=6.1 using an overlap fermion action with hypercubic(HYP)-blocked links. We consider the effects of the exact…

High Energy Physics - Lattice · Physics 2009-11-11 Thomas DeGrand , Zhaofeng Liu

We define a family of Schroedinger Functional renormalization schemes for the four-quark multiplicatively renormalizable operators of the $\Delta F = 1$ and $\Delta F = 2$ effective weak Hamiltonians. Using the lattice regularization with…

High Energy Physics - Lattice · Physics 2015-06-25 M. Guagnelli , J. Heitger , C. Pena , S. Sint , A. Vladikas

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
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