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

Heitger, Jochen; Joswig, Fabian

doi:10.1140/epjc/s10052-021-09037-4

Cited by 12 publications

(18 citation statements)

References 42 publications

(156 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…2, these local estimators of Z do not exhibit plateau-like behaviour; this was also observed for a similar Ward identity adopted to compute the improvement coefficient of the vector current in Ref. [24]. Note, however, that this is not problematic; since Z is obtained from a Ward identity, its value at any time slice qualifies as a well-defined estimate.…”

Section: Renormalisation Constant Zsupporting

confidence: 61%

“…In Ref. [24] it was explicitly shown that L is constant up to O(a) cut-off effects across the coupling range also considered in the present work. We thus expect our final results for r m and Z to only be affected by O(a 2 ) effects.…”

Section: Numerical Setupmentioning

confidence: 52%

“…The gauge ensembles highlighted in italics were newly generated for this study, while the remaining ones were already used in previous investigations; see Refs. [14,15,[24][25][26][27]. 7 These additional ensembles allow for a more even and wider spread of bare quark masses around the chiral point for each value of β, which enables a more precise extraction of the slopes corresponding to Zr m and Z (r m − 1) as explained in Sect.…”

Section: Numerical Setupmentioning

confidence: 99%

“…These ensembles are used for the numerical determination of the necessary renormalisation parameters and Symanzik improvement coefficients, see Refs. [14,15,[24][25][26][27] that have various applications in lattice QCD when using this discretisation of Wilson fermions. The present work provides high-precision estimates of r m obtained in the same computational framework.…”

Section: Introductionmentioning

confidence: 99%

“…Refs. [14,15,[24][25][26][27]. Some new ensembles have also been generated, in order to cover the region close to the origin of the function m(m q ) more evenly and assess its slope reliably.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Ratio of flavour non-singlet and singlet scalar density renormalisation parameters in $$N_\mathrm {f}=3$$ QCD with Wilson quarks

et al. 2021

Self Cite

View full text Add to dashboard Cite

We determine non-perturbatively the normalisation factor $$r_{\mathrm{m}}\equiv Z_{\mathrm{S}}/Z_{\mathrm{S}}^{0}$$ r m ≡ Z S / Z S 0 , where $$Z_{\mathrm{S}}$$ Z S and $$Z_{\mathrm{S}}^{0}$$ Z S 0 are the renormalisation parameters of the flavour non-singlet and singlet scalar densities, respectively. This quantity is required in the computation of quark masses with Wilson fermions and for instance the renormalisation of nucleon matrix elements of scalar densities. Our calculation involves simulations of finite-volume lattice QCD with the tree-level Symanzik-improved gauge action, $$N_{\mathrm{f}}= 3$$ N f = 3 mass-degenerate $${\mathrm{O}}(a)$$ O ( a ) improved Wilson fermions and Schrödinger functional boundary conditions. The slope of the current quark mass, as a function of the subtracted Wilson quark mass is extracted both in a unitary setup (where nearly chiral valence and sea quark masses are degenerate) and in a non-unitary setup (where all valence flavours are chiral and the sea quark masses are small). These slopes are then combined with $$Z \equiv Z_{\mathrm{P}}/(Z_{\mathrm{S}}Z_{\mathrm{A}})$$ Z ≡ Z P / ( Z S Z A ) in order to obtain $$r_{\mathrm{m}}$$ r m . A novel chiral Ward identity is employed for the calculation of the normalisation factor Z. Our results cover the range of gauge couplings corresponding to lattice spacings below $$0.1\,$$ 0.1 fm, for which $$N_{\mathrm{f}}= 2+1$$ N f = 2 + 1 QCD simulations in large volumes with the same lattice action are typically performed.

show abstract

Section: Renormalisation Constant Zsupporting

confidence: 61%

Section: Numerical Setupmentioning

confidence: 52%

Section: Numerical Setupmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Ratio of flavour non-singlet and singlet scalar density renormalisation parameters in $$N_\mathrm {f}=3$$ QCD with Wilson quarks

et al. 2021

Self Cite

View full text Add to dashboard Cite

show abstract

Hadronic vacuum polarization in the muon g − 2: the short-distance contribution from lattice QCD

Kuberski,

Cè,

von Hippel

et al. 2024

J. High Energ. Phys.

View full text Add to dashboard Cite

We present results for the short-distance window observable of the hadronic vacuum polarization contribution to the muon g – 2, computed via the time-momentum representation (TMR) in lattice QCD. A key novelty of our calculation is the reduction of discretization effects by a suitable subtraction applied to the TMR kernel function, which cancels the leading $${x}_{0}^{4}$$-behaviour at short distances. To compensate for the subtraction, one must substitute a term that can be reliably computed in perturbative QCD. We apply this strategy to our data for the vector current collected on ensembles generated with 2 + 1 flavours of O(a)-improved Wilson quarks at six values of the lattice spacing and pion masses in the range 130 – 420 MeV. Our estimate at the physical point contains a full error budget and reads $${\left({a}_{\mu }^{{\text{hvp}}}\right)}^{{\text{SD}}}$$ = 68.85(14)stat (42)syst·10−10, which corresponds to a relative precision of 0.7%. We discuss the implications of our result for the observed tensions between lattice and data-driven evaluations of the hadronic vacuum polarization.

show abstract

Non-perturbative renormalisation and improvement of non-singlet tensor currents in Nf = 3 QCD

Chimirri,

Fritzsch,

Heitger

et al. 2024

J. High Energ. Phys.

View full text Add to dashboard Cite

Hadronic matrix elements involving tensor currents play an important rôle in decays that allow to probe the consistency of the Standard Model via precision lattice QCD calculations. The non-singlet tensor current is a scale-dependent (anomalous) quantity. We fully resolve its renormalisation group (RG) running in the continuum by carrying out a recursive finite-size scaling technique. In this way ambiguities due to a perturbative RG running and matching to lattice data at low energies are eliminated. We provide the total renormalisation factor at a hadronic scale of 233 MeV, which converts the bare current into its RG-invariant form.Our calculation features three flavours of O(a) improved Wilson fermions and tree-level Symanzik-improved gauge action. We employ the (massless) Schrödinger functional renormalisation scheme throughout and present the first non-perturbative determination of the Symanzik counterterm cT derived from an axial Ward identity. We elaborate on various details of our calculations, including two different renormalisation conditions.

show abstract

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

Abstract: 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 ( … Show more

Cited by 12 publications

References 42 publications

Ratio of flavour non-singlet and singlet scalar density renormalisation parameters in $$N_\mathrm {f}=3$$ QCD with Wilson quarks

Ratio of flavour non-singlet and singlet scalar density renormalisation parameters in $$N_\mathrm {f}=3$$ QCD with Wilson quarks

Hadronic vacuum polarization in the muon g − 2: the short-distance contribution from lattice QCD

Non-perturbative renormalisation and improvement of non-singlet tensor currents in Nf = 3 QCD

Contact Info

Product

Resources

About