The hadronic contribution to the running of the electromagnetic coupling and the electroweak mixing angle

Cè, Marco; José, Teseo San; Gérardin, Antoine; Meyer, Harvey B.; Miura, Kiyotaka; Ottnad, Konstantin; Risch, Andreas; Wilhelm, Jonas; Wittig, Hartmut

doi:10.22323/1.363.0010

Cited by 11 publications

(21 citation statements)

References 45 publications

(67 reference statements)

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“…The blue line corresponds to the preliminary Mainz result presented in Ref. [ 94 ]. The red dots are obtained from the results published in Ref.…”

Section: Benchmark Quantities For the Hvp Contributionmentioning

confidence: 81%

“…The Mainz group has also presented preliminary results in [ 102 , 103 ] with two dynamical Wilson quarks. During last years Lattice conference, an analysis based on the CLS ensembles with dynamical quarks including one ensemble at the physical pion mass has been presented [ 94 ]. In [ 53 ] the BMW collaboration published results for using staggered quarks at the physical pion mass.…”

Section: Benchmark Quantities For the Hvp Contributionmentioning

confidence: 99%

“…The electroweak mixing angle has ben studied on the lattice in [ 94 , 101 , 103 , 105 , 106 ] and the results of the running for the Mainz group is shown in the right panel of Fig. 20 .…”

Section: Benchmark Quantities For the Hvp Contributionmentioning

confidence: 99%

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The anomalous magnetic moment of the muon: status of lattice QCD calculations

Gérardin

2021

Eur. Phys. J. A

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In recent years, the anomalous magnetic moment of the muon has triggered a lot of activity in the lattice QCD community because a persistent tension of about is observed between the phenomenological estimate and the Brookhaven measurement. The current best phenomenological estimate has an uncertainty comparable to the experimental one and the error is completely dominated by hadronic effects: the leading order hadronic vacuum polarization (HVP) contribution and the hadronic light-by-light (HLbL) scattering contribution. Both are accessible via lattice simulations and a reduction of the error by a factor 4 is required in view of the forthcoming experiments at Fermilab and J-PARC whose results, expected in the next few years, should reduce the experimental precision down to the level of 0.14 ppm. In this article, I review the status of lattice calculations of those quantities, starting with the HVP. This contribution has now reached sub-percent precision and requires a careful understanding of all sources of systematic errors. The HLbL contribution, that is much smaller, still contributes significantly to the error. This contribution is more challenging to compute, but rapid progress has been made on the lattice in the last few years.

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“…The blue line corresponds to the preliminary Mainz result presented in Ref. [ 94 ]. The red dots are obtained from the results published in Ref.…”

Section: Benchmark Quantities For the Hvp Contributionmentioning

confidence: 81%

Section: Benchmark Quantities For the Hvp Contributionmentioning

confidence: 99%

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The anomalous magnetic moment of the muon: status of lattice QCD calculations

Gérardin

2021

Eur. Phys. J. A

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“…Fortunately, however, our knowledge of this object can be improved with future lattice QCD studies [190][191][192], and since it's contribution is α/π suppressed for neutrino neutralcurrent scattering, an uncertainty on the order of 5% would reduce its contribution to the error budget to the permille level. This would be below the precision necessary for nextgeneration CEνNS experiments to achieve their goals.…”

Section: Cross Sections and Uncertainties For A Monoenergetic Sourcementioning

confidence: 99%

“…One has to switch to the hadronic description which introduces additional uncertainty in any neutral-current JHEP02(2021)097 neutrino-induced process due to the pure knowledge of the charge-isospin current-current correlation functionΠ 3γ . The knowledge ofΠ 3γ at low energies can be improved by a factor 5-10 with precise lattice QCD studies [190][191][192]. We would like to stress that hadronic physics introduces an error at a few permille level that is universal to all neutrino-induced neutral-current scattering.…”

Section: Precision Electroweak Observables At Low Energymentioning

confidence: 99%

Flavor-dependent radiative corrections in coherent elastic neutrino-nucleus scattering

Tomalak

Machado

Pandey

et al. 2021

J. High Energ. Phys.

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We calculate coherent elastic neutrino-nucleus scattering cross sections on spin-0 nuclei (e.g. 40Ar and 28Si) at energies below 100 MeV within the Standard Model and account for all effects of permille size. We provide a complete error budget including uncertainties at nuclear, nucleon, hadronic, and quark levels separately as well as perturbative error. Our calculation starts from the four-fermion effective field theory to explicitly separate heavy-particle mediated corrections (which are absorbed by Wilson coefficients) from light-particle contributions. Electrons and muons running in loops introduce a non- trivial dependence on the momentum transfer due to their relatively light masses. These same loops, and those mediated by tau leptons, break the flavor universality because of mass-dependent electromagnetic radiative corrections. Nuclear physics uncertainties significantly cancel in flavor asymmetries resulting in subpercent relative errors. We find that for low neutrino energies, the cross section can be predicted with a relative precision that is competitive with neutrino-electron scattering. We highlight potentially useful applications of such a precise cross section prediction ranging from precision tests of the Standard Model, to searches for new physics and to the monitoring of nuclear reactors.

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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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The hadronic contribution to the running of the electromagnetic coupling and the electroweak mixing angle

Cited by 11 publications

References 45 publications

The anomalous magnetic moment of the muon: status of lattice QCD calculations

The anomalous magnetic moment of the muon: status of lattice QCD calculations

Flavor-dependent radiative corrections in coherent elastic neutrino-nucleus scattering

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

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