Non-perturbative determination of cV, ZV and ZS/ZP in Nf = 3 lattice QCD

Heitger, Jochen; Joswig, Fabian; Vladikas, A.; Wittemeier, Christian

doi:10.1051/epjconf/201817510004

Cited by 13 publications

(9 citation statements)

References 16 publications

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“…In combination with a precise determination of the overall renormalization factor Z V and improvement coefficient c V along a line of constant physics [31][32][33], the determination of b V and b V presented in this paper completes the on-shell O(a) improvement of the nonsinglet local vector current with massive Wilson fermions that is consistent with massless renormalization schemes. Our results are independent from determinations of Z V and c V , and thanks to the applied improvement conditions we have reached very accurate estimates ofR V and R V that allowed for disentangling sea and valence quark effects with large significance for the first time.…”

Section: Epiloguementioning

confidence: 92%

Mass-improvement of the vector current in three-flavor QCD

Fritzsch

2018

J. High Energ. Phys.

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We determine two improvement coefficients which are relevant to cancel massdependent cutoff effects in correlation functions with operator insertions of the non-singlet local QCD vector current. This determination is based on degenerate three-flavor QCD simulations of non-perturbatively O(a) improved Wilson fermions with tree-level improved gauge action. Employing a very robust strategy that has been pioneered in the quenched approximation leads to an accurate estimate of a counterterm cancelling dynamical quark cutoff effects linear in the trace of the quark mass matrix. To our knowledge this is the first time that such an effect has been determined systematically with large significance.

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Section: Epiloguementioning

confidence: 92%

Mass-improvement of the vector current in three-flavor QCD

Fritzsch

2018

J. High Energ. Phys.

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“…A preliminary account on the present work was reported in [31]. 4 In computing these hadronic contributions, the electromagnetic (quark) current plays a key rôle, which in QCD with the lightest three quark flavours is conveniently written as a linear combination of two neutral combinations from the octet of vector currents, V…”

Section: Introductionmentioning

confidence: 99%

The renormalised $$\mathrm{O}(a)$$ improved vector current in three-flavour lattice QCD with Wilson quarks

Heitger

Joswig

2021

Eur. Phys. J. C

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We present the results of a non-perturbative determination of the improvement coefficient $$c_\mathrm{V}$$ c V and the renormalisation factor $$Z_\mathrm{V}$$ Z V , which define the renormalised vector current in three-flavour $$\mathrm{O}(a)$$ O ( a ) improved lattice QCD with Wilson quarks and tree-level Symanzik-improved gauge action. In case of the improvement coefficient, we consider both lattice descriptions of the vector current, the local as well as the conserved (i.e., point-split) one. Our improvement and normalisation conditions are based on massive chiral Ward identities and numerically evaluated in the Schrödinger functional setup, which allows to eliminate finite quark mass effects in a controlled way. In order to ensure a smooth dependence of the renormalisation constant and improvement coefficients on the bare gauge coupling, our computation proceeds along a line of constant physics, covering the typical range of lattice spacings $$0.04\,\mathrm{fm}\lesssim a\lesssim 0.1\,\mathrm{fm}$$ 0.04 fm ≲ a ≲ 0.1 fm that is useful for phenomenological applications. Especially for the improvement coefficient of the local vector current, we report significant differences between the one-loop perturbative estimates and our non-perturbative results.

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“…[5], whereas studies addressing the vector and axial current cases include refs. [6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Non-perturbative renormalization of O($a$) improved tensor currents

Joswig¹,

Chimirri²,

Fritzsch³

et al. 2020

Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)

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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) improvement factor of tensor currents is determined via a Ward identity approach, and their renormalization group running is calculated via recursive finite-size scaling techniques, both implemented within the Schrödinger functional framework. We also address the matching factor between bare and renormalization group invariant currents for a range of lattice spacings < 0.1 fm, relevant for phenomenological large-volume lattice QCD applications.

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Non-perturbative determination of c_V, Z_V and Z_S/Z_P in N_f = 3 lattice QCD

Cited by 13 publications

References 16 publications

Mass-improvement of the vector current in three-flavor QCD

Mass-improvement of the vector current in three-flavor QCD

The renormalised $$\mathrm{O}(a)$$ improved vector current in three-flavour lattice QCD with Wilson quarks

Non-perturbative renormalization of O($a$) improved tensor currents

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