Towards a precise lattice determination of the leading hadronic contribution to (g − 2)
                μ

Morte, Michele Della; Jäger, Benjamin; Jüttner, Andreas; Wittig, Hartmut

doi:10.1007/jhep03(2012)055

Cited by 75 publications

(26 citation statements)

References 59 publications

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“…[8][9][10], namely to compute a had µ (α 2 em ) in Euclidean lattice QCD from the correlation function of two electromagnetic currents. In this respect an impressive progress in the lattice determinations of a had µ (α 2 em ) has been achieved in the last few years [11][12][13][14][15][16][17][18][19][20][21] and very interesting attempts to compute also the LBL contribution are under way both on the lattice [22,23] and via dispersion approaches and Chiral Perturbation Theory (ChPT) [24][25][26].…”

Section: Jhep10(2017)157mentioning

confidence: 99%

Strange and charm HVP contributions to the muon (g − 2) including QED corrections with twisted-mass fermions

Giusti

Lubicz

Martinelli

et al. 2017

J. High Energ. Phys.

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We present a lattice calculation of the Hadronic Vacuum Polarization (HVP) contribution of the strange and charm quarks to the anomalous magnetic moment of the muon including leading-order electromagnetic corrections. We employ the gauge configurations generated by the European Twisted Mass Collaboration (ETMC) with N f = 2 + 1 + 1 dynamical quarks at three values of the lattice spacing (a 0.062, 0.082, 0.089 fm) with pion masses in the range M π 210-450 MeV. The strange and charm quark masses are tuned at their physical values. Neglecting disconnected diagrams and after the extrapolations to the physical pion mass and to the continuum limit we obtain: a s µ (α 2 em ) = (53.1 ± 2.5) · 10 −10 , a s µ (α 3 em ) = (−0.018 ± 0.011) · 10 −10 and a c µ (α 2 em ) = (14.75 ± 0.56) · 10 −10 , a c µ (α 3 em ) = (−0.030 ± 0.013) · 10 −10 for the strange and charm contributions, respectively.

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Section: Jhep10(2017)157mentioning

confidence: 99%

Strange and charm HVP contributions to the muon (g − 2) including QED corrections with twisted-mass fermions

Giusti

Lubicz

Martinelli

et al. 2017

J. High Energ. Phys.

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“…The orange downward triangles are from [24] using clover-improved Wilson fermions with two dynamical light and a quenched strange quark. The green upward triangles and diamonds have been computed with N f = 2 + 1 dynamical domain wall fermions [25].…”

Section: The Three-flavour Contribution a Hvp µUdsmentioning

confidence: 99%

Four-flavour leading-order hadronic contribution to the muon anomalous magnetic moment

Burger

Feng

Hotzel

et al. 2014

J. High Energ. Phys.

112

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We present a four-flavour lattice calculation of the leading-order hadronic vacuum polarisation contribution to the anomalous magnetic moment of the muon, a hvp µ , arising from quark-connected Feynman graphs. It is based on ensembles featuring N f = 2+1+1 dynamical twisted mass fermions generated by the European Twisted Mass Collaboration (ETMC). Several light quark masses are used in order to yield a controlled extrapolation to the physical pion mass. We employ three lattice spacings to examine lattice artefacts and several different volumes to check for finite-size effects. Incorporating the complete first two generations of quarks allows for a direct comparison with phenomenological determinations of a hvp µ . Our final result including an estimate of the systematic uncertainty a hvp µ = 6.74(21)(18) · 10 −8 shows a good overall agreement with these computations.

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“…[10][11][12][13][14][15][16][17][18][19]), or on new dedicated experiments as proposed in ref. [20].…”

Section: Introductionmentioning

confidence: 99%

“…The natural question which then arises is: What is the best way to help LQCD (see e.g., Refs. [10][11][12][13][14][15][16][17][18][19]), or dedicated experiments [20], to evaluate this integral when only limited information about ΠðQ 2 Þ at low Q 2 values is available? The answer that we propose follows the way initiated in Ref.…”

Section: Introductionmentioning

confidence: 99%

Mellin-Barnes approach to hadronic vacuum polarization and gμ−2

Rafael

Greynat²

2018

Phys. Rev. D

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It is shown that with a precise determination of a few derivatives of the hadronic vacuum polarization (HVP) self-energy function ΠðQ 2 Þ at Q 2 ¼ 0, from lattice QCD (LQCD) or from a dedicated low-energy experiment, one can obtain an evaluation of the lowest order HVP contribution to the anomalous magnetic moment of the muon a HVP μ with an accuracy comparable to the one reached using the e þ e − annihilation cross section into hadrons. The technique of Mellin-Barnes approximants (MBa) that we propose is illustrated in detail with the example of the two loop vacuum polarization function in QED. We then apply it to the first few moments of the hadronic spectral function obtained from experiment and show that the resulting MBa evaluations of a HVP μ converge very quickly to the full experimental determination.

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Towards a precise lattice determination of the leading hadronic contribution to (g − 2) μ

Cited by 75 publications

References 59 publications

Strange and charm HVP contributions to the muon (g − 2) including QED corrections with twisted-mass fermions

Strange and charm HVP contributions to the muon (g − 2) including QED corrections with twisted-mass fermions

Four-flavour leading-order hadronic contribution to the muon anomalous magnetic moment

Mellin-Barnes approach to hadronic vacuum polarization and gμ−2

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