Vacuum correlators at short distances from lattice QCD

Cè, Marco; Harris, Tim; Meyer, Harvey B.; Toniato, Arianna; Török, Csaba

doi:10.1007/jhep12(2021)215

Cited by 14 publications

(10 citation statements)

References 30 publications

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“…[66] and listed in table 1. As discussed in section 3.3, the on-shell quantities considered in this work are O(a)-improved, and hence we expect leading discretization effects O a 2 , up to logarithmic corrections [106,107]. While our favored ansatz includes only an O a 2 term, we also investigate the influence of higher powers in the lattice spacing, as well as a term proportional to a 2 log a.…”

Section: Jhep08(2022)220mentioning

confidence: 96%

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The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD

Cè

Gérardin

Hippel

et al. 2022

J. High Energ. Phys.

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We compute the hadronic running of the electromagnetic and weak couplings in lattice QCD with Nf = 2 + 1 flavors of $$ \mathcal{O} $$ O (a) improved Wilson fermions. Using two different discretizations of the vector current, we compute the quark-connected and –disconnected contributions to the hadronic vacuum polarization (HVP) functions $$ \overline{\varPi} $$ Π ¯ γγ and $$ \overline{\varPi} $$ Π ¯ γZ for Euclidean squared momenta Q2 ≤ 7 GeV2. Gauge field ensembles at four values of the lattice spacing and several values of the pion mass, including its physical value, are used to extrapolate the results to the physical point. The ability to perform an exact flavor decomposition allows us to present the most precise determination to date of the SU(3)-flavor-suppressed HVP function $$ \overline{\varPi} $$ Π ¯ 08 that enters the running of sin2θW. Our results for $$ \overline{\varPi} $$ Π ¯ γγ, $$ \overline{\varPi} $$ Π ¯ γZ and $$ \overline{\varPi} $$ Π ¯ 08 are presented in terms of rational functions for continuous values of Q2 below 7 GeV2. We observe a tension of up to 3.5 standard deviation between our lattice results for $$ \Delta {\alpha}_{\mathrm{had}}^{(5)} $$ ∆ α had 5 (−Q2) and estimates based on the R-ratio for space-like momenta in the range 3–7 GeV2. The tension is, however, strongly diminished when translating our result to the Z pole, by employing the Euclidean split technique and perturbative QCD, which yields $$ \Delta {\alpha}_{\mathrm{had}}^{(5)}\left({M}_Z^2\right) $$ ∆ α had 5 M Z 2 = 0.02773(15) and agrees with results based on the R-ratio within the quoted uncertainties.

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Section: Jhep08(2022)220mentioning

confidence: 96%

“…Following ref. [107], we also considered a logarithmically-enhanced term of the form c Π (Q 2 ) • (a 2 /t sym 0 ) log t sym 0 /a 2 /2, with the Q 2 -dependent coefficient fixed to the freetheory prediction…”

Section: Jhep08(2022)220mentioning

confidence: 99%

The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD

Cè

Gérardin

Hippel

et al. 2022

J. High Energ. Phys.

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“…in the HVP of the anomalous magnetic moment [15], and finite discretization effects present in continuum extrapolations, see e.g. [12][13][14]. Larger and finer lattices are needed to extend our knowledge in various directions, such as in the field of bottom-and charm-physics, in measurements of multiple particle scattering or in improving lattice results for the anomalous magnetic moment g-2.…”

Section: Pos(lattice2022)227mentioning

confidence: 99%

Review on Algorithms for dynamical fermions

Finkenrath¹

2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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This review discusses the current and next steps in research of algorithms for dynamical fermions in large scale lattice QCD simulations. First a short overview on the state-of-the-art of ensemble generation at the physical point is given. Followed by an overview on required steps towards simulation of large lattices for the Hybrid Monte Carlo algorithm. Here, in particular, the status of iterative solvers and tuning procedures for numerical integrators within the molecular dynamics are discussed. This is followed by a review on the on-going developments for algorithms, with a focus on methods which are potentially useful to simulate gauge theories at very fine lattice spacings, i.e. well suited to overcome freezing of the topological charge. This includes modification of the HMC algorithm as well as a discussion of algorithms which includes the fermion weight via global correction steps. Parts of the discussions are on the application of generative models via gauge equivariant flows as well as multi-level algorithms.

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“…Time windows of the muon HVP from twisted-mass lattice QCD G. Gagliardi (see Refs. [13,28,29] for details). Such discretization effects, containing a positive power of the logarithm, are dangerous, since they slow down the convergence with respect to a pure 𝑎 2 -scaling and may not be visible unless simulations at very small lattice spacing are performed.…”

Section: Pos(lattice2022)310mentioning

confidence: 99%

Time windows of the muon HVP from twisted-mass lattice QCD

Gagliardi¹,

Alexandrou²,

Bacchio³

et al. 2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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We present a lattice determination of the leading-order hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment, 𝑎 HVP 𝜇 , in the so-called short and intermediate time-distance windows, 𝑎 SD 𝜇 and 𝑎 W 𝜇 . We employ gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with 𝑁 𝑓 = 2 + 1 + 1 flavours of Wilson-clover twisted-mass quarks with masses of all the dynamical quark flavours tuned close to their physical values. The simulations are carried out at three values of the lattice spacing equal to ≃ 0.057, 0.068 and 0.080 fm with spatial lattice sizes up to 𝐿 ≃ 7.6 fm. For the short distance window we obtain 𝑎 SD 𝜇 = 69.27 (34) • 10 −10 , in agreement with the dispersive determination based on experimental 𝑒 + 𝑒 − data. For the intermediate window we get instead 𝑎 W 𝜇 = 236.3 (1.3) • 10 −10 , which is consistent with recent determinations by other lattice collaborations, but disagrees with the dispersive determination at the level of 3.6 𝜎.

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Vacuum correlators at short distances from lattice QCD

Cited by 14 publications

References 30 publications

The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD

The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD

Review on Algorithms for dynamical fermions

Time windows of the muon HVP from twisted-mass lattice QCD

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