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

Fritzsch, Patrick

doi:10.1007/jhep06(2018)015

Cited by 16 publications

(18 citation statements)

References 30 publications

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“…[11,19]. As a byproduct, we also obtain the coefficient of the (valence) quark mass dependent piece of the renormalisation factor away from the chiral limit, b V , for one value of the lattice spacing to demonstrate consistency with the results of [19,30]. The Ward identity determination of the improvement coefficients for both, the local as well as the conserved (i.e., point-split) lattice discretisation of the continuum vector current is discussed in Sect.…”

Section: Introductionmentioning

confidence: 70%

“…Both coefficients are already non-perturbatively known for our choice of action from Refs. [19,30]. Moreover, as the mass range width of our gauge ensembles is not ideal for a detailed study of these mass dependent effects for all g 2 0 , we restrict ourselves to an accurate determination of b V at only one value of the bare coupling, corresponding to β = 3.414, which we compare to the previous results.…”

Section: Mass Dependent O(a) Improvementmentioning

confidence: 97%

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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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Section: Introductionmentioning

confidence: 70%

Section: Mass Dependent O(a) Improvementmentioning

confidence: 97%

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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“…The same remark applies to the b-coefficients multiplying O(am) counterterms, which have recently been determined for the vector current in ref. [53].…”

Section: Discussionmentioning

confidence: 99%

High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks

et al. 2019

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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 Schrödinger functional and can be generalized to other finite (ratios of) renormalization constants which are traditionally obtained by imposing continuum chiral Ward identities as normalization conditions. Compared to the latter we achieve an error reduction by up to one order of magnitude. Our results have already enabled the setting of the scale for the N f = 2 + 1 CLS ensembles [1] and are thus an essential ingredient for the recent α s determination by the ALPHA collaboration [2]. In this paper we shortly review the strategy and present our results for both N f = 2 and N f = 3 lattice QCD, where we match the β-values of the CLS gauge configurations. In addition to the axial current renormalization, we also present precise results for the renormalized local vector current.

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“…For recent determinations of b-coefficients in the vector channel of three-flavour QCD with the same lattice action, see also Refs. [23,24].…”

Section: Introductionmentioning

confidence: 99%

Non-perturbative determination of improvement coefficients $$b_\mathrm{m}$$ and $$b_\mathrm{A}-b_\mathrm{P}$$ and normalisation factor $$Z_\mathrm{m}Z_\mathrm{P}/Z_\mathrm{A}$$ with $$N_\mathrm{f}= 3$$ Wilson fermions

et al. 2019

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We determine non-perturbatively the normalisation parameter 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 computation involves simulations in N f = 3 QCD with O(a) improved massless sea and non-degenerate valence quarks in the finite-volume Schrödinger functional scheme. Our results, which cover the typical gauge coupling range of large-volume N f = 2+1 QCD simulations with Wilson fermions at lattice spacings below 0.1 fm, are of particular use for the non-perturbative calculation of O(a) improved renormalised quark masses.

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

Cited by 16 publications

References 30 publications

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

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

High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks

Non-perturbative determination of improvement coefficients $$b_\mathrm{m}$$ and $$b_\mathrm{A}-b_\mathrm{P}$$ and normalisation factor $$Z_\mathrm{m}Z_\mathrm{P}/Z_\mathrm{A}$$ with $$N_\mathrm{f}= 3$$ Wilson fermions

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