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Related papers: Non-perturbative Renormalisation with Domain Wall …

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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 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…

High Energy Physics - Lattice · Physics 2015-06-25 Sinya Aoki , Taku Izubuchi , Junichi Noaki , Yoshinobu Kuramashi , Yusuke Taniguchi

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 have technically improved the non-perturbative renormalization method, proposed by Martinelli et al., by using quark momentum sources and sinks. Composite two-fermion operators up to three derivatives have been measured for Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 M. Goeckeler , R. Horsley , H. Oelrich , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

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 compute the renormalised four-fermion operator $O^{\Delta S=2}$ using a non-perturbative method recently introduced for determining the renormalisation constants of generic lattice composite operators. Because of the presence of the…

High Energy Physics - Lattice · Physics 2009-10-09 A. Donini , G. Martinelli , C. T. Sachrajda , M. Talevi , A. Vladikas

We outline a general strategy for the non-perturbative renormalisation of composite operators in discretisations based on Neuberger fermions, via a matching to results obtained with Wilson-type fermions. As an application, we consider the…

High Energy Physics - Lattice · Physics 2009-11-11 P. Dimopoulos , L. Giusti , P. Hernandez , F. Palombi , C. Pena , A. Vladikas , J. Wennekers , H. Wittig

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

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 propose a general renormalization method, which avoids completely the use of lattice perturbation theory. We present the results from its numerical applications to two-fermion operators on a $16^3 \times 32$ lattice, at $\beta=6.0$.

High Energy Physics - Lattice · Physics 2009-10-09 G. Martinelli , C. Pittori , C. T. Sachrajda , M. Testa , A. Vladikas

For the first time, we compute non-perturbatively, i.e. without lattice perturbation theory, the renormalization constants of two-fermion operators in the quenched approximation at $\beta=6.0$, 6.2 and 6.4 using the Wilson and the…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Gimenez

We propose a non-perturbative method for computing the renormalization constants of generic composite operators. This method is intended to reduce some systematic errors, which are present when one tries to obtain physical predictions from…

High Energy Physics - Lattice · Physics 2009-10-09 G. Martinelli , C. Pittori , C. T. Sachrajda , M. Testa , A. Vladikas

We present the first numerical implementation of a non-perturbative renormalization method for lattice operators, based on the study of correlation functions in coordinate space at short Euclidean distance. The method is applied to compute…

High Energy Physics - Lattice · Physics 2009-11-10 V. Gimenez , L. Giusti , S. Guerriero , V. Lubicz , G. Martinelli , S. Petrarca , J. Reyes , B. Taglienti , E. Trevigne

We have calculated continuum limit step scaling functions of bilinear and four-fermion operators renormalized in a Rome-Southampton scheme using various smearing prescriptions for the gauge field. Also, for the first time, we have…

High Energy Physics - Lattice · Physics 2013-12-16 R. Arthur , P. A. Boyle , S. Hashimoto , R. Hudspith

We formulate and numerically test the Schr\"odinger functional scheme for domain-wall QCD. We then apply it to a non-perturbative calculation of the renormalization factors for vector and axial-vector currents in quenched domain-wall QCD…

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…

High Energy Physics - Lattice · Physics 2016-09-01 M. Gürtler , R. Horsley , P. E. L. Rakow , C. J. Roberts , G. Schierholz , T. Streuer

The gradient flow exponentially suppresses ultraviolet field fluctuations and removes ultraviolet divergences (up to a multiplicative fermionic wavefunction renormalization). It can be used to describe real-space Wilsonian renormalization…

High Energy Physics - Lattice · Physics 2022-02-21 Anna Hasenfratz , Christopher J. Monahan , Matthew D. Rizik , Andrea Shindler , Oliver Witzel

We determine the renormalization constants for flavor non-singlet fermion bilinear operators of M\"obius domain-wall fermions. The renormalization condition is imposed on the correlation functions in the coordinate space, such that the…

High Energy Physics - Lattice · Physics 2016-09-14 JLQCD collaboration , M. Tomii , G. Cossu , B. Fahy , H. Fukaya , S. Hashimoto , T. Kaneko , J. Noaki

We propose a renormalization scheme that can be simply implemented on the lattice. It consists of the temporal moments of two-point and three-point functions calculated with finite valence quark mass. The scheme is confirmed to yield a…

High Energy Physics - Lattice · Physics 2020-01-27 Tsutomu Ishikawa , Katsumasa Nakayama , Shoji Hashimoto

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…

High Energy Physics - Lattice · Physics 2009-10-31 Sinya Aoki , Yoshinobu Kuramashi