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We present results of a lattice QCD application of a coordinate space renormalization scheme for the extraction of renormalization constants for flavour non-singlet bilinear quark operators. The method consists in the analysis of the…

High Energy Physics - Lattice · Physics 2012-12-03 Krzysztof Cichy , Karl Jansen , Piotr Korcyl

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…

High Energy Physics - Lattice · Physics 2009-11-11 F. Palombi , M. Papinutto , C. Pena , H. Wittig

We present a study of a combination of HQET and relativistic QCD to extract the b-quark mass and the Bs-meson decay constant from lattice quenched simulations. We start from a small volume, where one can directly simulate the b-quark, and…

High Energy Physics - Lattice · Physics 2008-01-02 Damiano Guazzini

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…

High Energy Physics - Lattice · Physics 2021-05-19 M. Costa , I. Karpasitis , G. Panagopoulos , H. Panagopoulos , T. Pafitis , A. Skouroupathis , G. Spanoudes

We explain how the strategy of solving renormalization problems in HQET non-perturbatively by a matching to QCD in finite volume can be implemented to include dynamical fermions. As a primary application, some elements of an HQET…

High Energy Physics - Lattice · Physics 2008-11-26 Michele Della Morte , Patrick Fritzsch , Jochen Heitger , Harvey B. Meyer , Hubert Simma , Rainer Sommer

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

The use of Heavy Quark Effective Theory (HQET) on the lattice as an approach to B-physics phenomenology is based on a non-perturbative matching of HQET to QCD in finite volume. As a first step to apply the underlying strategy in the…

High Energy Physics - Lattice · Physics 2018-11-08 Patrick Fritzsch , Jochen Heitger , Simon Kuberski

We discuss the necessity of non-perturbative renormalization in QCD and HQET and explain the general strategy for solving this problem. A few selected topics are discussed in some detail, namely the importance of off-shell improvement in…

High Energy Physics - Lattice · Physics 2011-01-27 Rainer Sommer

We study $4$-dimensional SQCD with gauge group $SU(N_c)$ and $N_f$ flavors of chiral super-multiplets on the lattice. We perform extensive calculations of matrix elements and renormalization factors of composite operators in Perturbation…

High Energy Physics - Lattice · Physics 2019-05-08 M. Costa , H. Panagopoulos

We show that by combining the static heavy quark action with the Neuberger action for the light quark, the renormalisation of the heavy-light bilinear and four-quark operators, computed on the lattice, becomes highly simplified: all the…

High Energy Physics - Lattice · Physics 2009-11-10 Damir Becirevic , Juan Reyes

Working in a quenched setup with Wilson twisted mass valence fermions, we explore the possibility to compute non-perturbatively the step scaling function using the coordinate (X-space) renormalization scheme. This scheme has the advantage…

High Energy Physics - Lattice · Physics 2016-10-04 Krzysztof Cichy , Karl Jansen , Piotr Korcyl

We present an exploratory study of a gauge-invariant non-perturbative renormalization technique. The renormalization conditions are imposed on correlation functions of composite operators in coordinate space on the lattice. Numerical…

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

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…

High Energy Physics - Phenomenology · Physics 2011-08-04 Christoph Lehner , Christian Sturm

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…

High Energy Physics - Lattice · Physics 2018-12-04 Marios Costa , Haralambos Panagopoulos

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

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…

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

Hadronic matrix elements evaluated on the lattice can be converted to a continuum scheme such as $\MSbar$ using intermediate non-perturbative renormalisation schemes. Discretisation effects on the lattice and convergence of the continuum…

High Energy Physics - Lattice · Physics 2023-08-02 N Garron , C Cahill , M Gorbahn , JA Gracey , PEL Rakow

Renormalization factors for bilinear and four-quark operators with the Kogut-Susskind fermion action are perturbatively calculated to one-loop order in the general covariant gauge. Results are presented both for gauge invariant and…

High Energy Physics - Lattice · Physics 2009-10-22 N. Ishizuka , Y. Shizawa

In large-momentum effective theory (LaMET), calculating parton physics starts from calculating coordinate-space-$z$ correlation functions $\tilde h(z, a,P^z)$ in a hadron of momentum $P^z$ in lattice QCD. Such correlation functions involve…

High Energy Physics - Phenomenology · Physics 2021-01-20 Xiangdong Ji , Yizhuang Liu , Andreas Schäfer , Wei Wang , Yi-Bo Yang , Jian-Hui Zhang , Yong Zhao
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