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We non-perturbatively calculate the scale dependence of the static axial current in the Schroedinger functional scheme by means of a recursive finite-size scaling technique, taking the continuum limit in each step. The bare current in the…

高能物理 - 格点 · 物理学 2008-11-26 Jochen Heitger , Martin Kurth , Rainer Sommer

We report on a non-perturbative computation of the renormalization factor Z_A of the axial vector current in three-flavour O(a) improved lattice QCD with Wilson quarks and tree-level Symanzik improved gauge action and also recall our recent…

高能物理 - 格点 · 物理学 2015-03-02 John Bulava , Michele Della Morte , Jochen Heitger , Christian Wittemeier

We non-perturbatively determine the renormalization factor of the axial vector current in lattice QCD with $N_f=3$ flavors of Wilson-clover fermions and the tree-level Symanzik-improved gauge action. The (by now standard) renormalization…

高能物理 - 格点 · 物理学 2016-06-29 John Bulava , Michele Della Morte , Jochen Heitger , Christian Wittemeier

A finite-size technique is employed to compute the normalization constant $Z_A$ of the isovector axial current in lattice QCD. The calculation is carried out in the quenched approximation for values of the bare gauge coupling $g_0$ ranging…

高能物理 - 格点 · 物理学 2016-09-01 Martin Lüscher , Stefan Sint , Rainer Sommer , Hartmut Wittig

We carry out the renormalization and the Symanzik O(a)-improvement programme for the static vector current in quenched lattice QCD. The scale independent ratio of the renormalization constants of the static vector and axial currents is…

高能物理 - 格点 · 物理学 2008-11-26 Filippo Palombi

We perform the non-perturbative renormalization of matrix elements of the static-light axial current by a computation of its scale dependence in lattice QCD with two flavours of massless O(a) improved Wilson quarks. The regularization…

高能物理 - 格点 · 物理学 2010-10-27 Michele Della Morte , Patrick Fritzsch , Jochen Heitger

We present our progress in the non-perturbative O(a) improvement and renormalization of tensor currents in three-flavor lattice QCD with Wilson-clover fermions and tree-level Symanzik improved gauge action. The mass-independent O(a)…

高能物理 - 格点 · 物理学 2019-10-16 Leonardo Chimirri , Patrick Fritzsch , Jochen Heitger , Fabian Joswig , Marco Panero , Carlos Pena , David Preti

We report on non-perturbative computations of the improvement coefficient c_V and the renormalization factor Z_V of the vector current in three-flavour O(a) improved lattice QCD with Wilson quarks and tree-level Symanzik improved gauge…

高能物理 - 格点 · 物理学 2018-04-18 Jochen Heitger , Fabian Joswig , Anastassios Vladikas , Christian Wittemeier

Renormalization constants ($Z$-factors) of vector and axial-vector currents are determined non-perturbatively in quenched QCD for a renormalization group improved gauge action and a tadpole improved clover quark action using the…

We present the results of a non-perturbative determination of the improvement coefficient $c_\mathrm{V}$ and the renormalisation factor $Z_\mathrm{V}$, which define the renormalised vector current in three-flavour $\mathrm{O}(a)$ improved…

高能物理 - 格点 · 物理学 2021-04-07 Jochen Heitger , Fabian Joswig

Renormalization constants of vector ($Z_V$) and axial-vector ($Z_A$) currents are determined non-perturbatively in quenched QCD for an RG-improved gauge action and a tadpole-improved clover quark action using the Schr\"odinger functional…

A general strategy to solve the non-perturbative renormalization problem in lattice QCD, using finite-size techniques and numerical simulations, is described. As an illustration we discuss the computation of the axial current normalization…

高能物理 - 格点 · 物理学 2009-10-28 Karl Jansen , Chuan Liu , Martin Luescher , Hubert Simma , Stefan Sint , Rainer Sommer , Peter Weisz , Ulli Wolff

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…

高能物理 - 格点 · 物理学 2008-11-26 Filippo Palombi , Mauro Papinutto , Carlos Pena , Hartmut Wittig

A completely non-perturbative estimate is given for gA using both quenched and unquenched O(a) improved Wilson fermions. Particular attention is paid to the determination of the axial renormalisation constant, ZA, using the Ward identity…

高能物理 - 格点 · 物理学 2009-10-31 R. Horsley

In calculating hadronic contributions to precision observables for tests of the Standard Model in lattice QCD, the electromagnetic current plays a central role. Using a Wilson action with O($a$) improvement in QCD with $N_{\mathrm{f}}$…

高能物理 - 格点 · 物理学 2019-02-20 Antoine Gerardin , Tim Harris , Harvey B. Meyer

We report on the determination of the improvement coefficient $c_{\rm A}$ for the non-singlet axial-vector current $A^{a}_{\mu}(x)$ in the framework of stabilised Wilson-Clover fermions within three flavour lattice QCD. This is done by…

高能物理 - 格点 · 物理学 2022-12-22 Patrick Fritzsch , Jochen Heitger , Justus T. Kuhlmann

By considering the local vector current between nucleon states and imposing charge conservation we determine, for $O(a)$ improved Wilson fermions, its renormalisation constant and quark mass improvement coefficient. The computation is…

高能物理 - 格点 · 物理学 2008-11-26 T. Bakeyev , M. Gockeler , R. Horsley , D. Pleiter , P. E. L. Rakow , A. Schafer , G. Schierholz , H. Stuben

We determine the non-perturbatively renormalized axial current for O($a$) improved lattice QCD with Wilson quarks. Our strategy is based on the chirally rotated Schr\"odinger functional and can be generalized to other finite (ratios of)…

高能物理 - 格点 · 物理学 2019-01-16 Mattia Dalla Brida , Tomasz Korzec , Stefan Sint , Pol Vilaseca

By considering the local vector current between nucleon states and imposing charge conservation, we determine its renormalisation constant and quark mass improvement coefficient for Symanzik $O(a)$ improved Wilson fermions. The computation…

高能物理 - 格点 · 物理学 2008-11-26 T. Bakeyev , M. Gockeler , R. Horsley , D. Pleiter , P. E. L. Rakow , G. Schierholz , H. Stuben

We determine non-perturbatively the normalisation constant Z_m*Z_P/Z_A as well as the Symanzik coefficients b_m and b_A-b_P, required in O(a) improved quark mass renormalisation with Wilson fermions. The strategy underlying their…

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