The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD

Morte, Michele Della; Francis, Anthony; Gülpers, Vera; Herdoíza, Gregorio; Hippel, Georg von; Horch, Hanno; Jäger, Benjamin; Meyer, Harvey B.; Nyffeler, Andreas; Wittig, Hartmut

doi:10.1007/jhep10(2017)020

Cited by 87 publications

(108 citation statements)

References 95 publications

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“…The window method results in smaller errors with a larger χ 2 value, but both methods agree with each other. For comparison, the naive ρ mass on the same ensemble was determined in [18] to be am ρ,naive = 0.3208(29).…”

Section: Discussionmentioning

confidence: 99%

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Towards extracting the timelike pion form factor on CLS twoflavour ensembles

Erben

Wittig²,

Mohler

et al. 2018

EPJ Web Conf.

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Abstract.Results are presented from an ongoing study of the ρ resonance. The focus is on CLS 2-flavour ensembles generated using O(a) improved Wilson fermions with pion masses ranging from 265 to 437 MeV. The energy levels are extracted by solving the GEVP of correlator matrices, created with the distillation approach involving ρ and ππ interpolators. The study is done in the centre-of-mass frame and several moving frames. One aim of this work is to extract the timelike pion form factor after applying the Lüscher formalism. We therefore plan to integrate this study with the existing Mainz programme for the calculation of the hadronic vacuum polarization contribution to the muon g − 2.

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Section: Discussionmentioning

confidence: 99%

“…Pion-mass dependence of m ρ and g ρππ from various determinations, using the value from the single-rho correlator at rest (blue) and from a full Lüscher analysis taking finite-volume effects into account (magenta). For comparison, the naive rho mass determined in [18] is shown as well (red). Grey data points are not used in the fit.…”

Section: Discussionmentioning

confidence: 99%

Towards extracting the timelike pion form factor on CLS twoflavour ensembles

Erben

Wittig²,

Mohler

et al. 2018

EPJ Web Conf.

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“…Only one 2+1+1 flavor result for κ is available, so we choose to use the 2+1 flavor simulation so as not to tie our results to a single external measurement. The values for these quantities are κ = 0.485 (19) , λ −1 0 = 27.23 (10).…”

Section: A General Setupmentioning

confidence: 99%

Consistency of hadronic vacuum polarization between lattice QCD and the R ratio

2020

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There are emerging tensions for theory results of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment both within recent lattice QCD calculations and between some lattice QCD calculations and R-ratio results. In this paper we work towards scrutinizing critical aspects of these calculations. We focus in particular on a precise calculation of Euclidean position-space windows defined by RBC/UKQCD that are ideal quantities for cross-checks within the lattice community and with R-ratio results. We perform a lattice QCD calculation using physical up, down, strange, and charm sea quark gauge ensembles generated in the staggered formalism by the MILC collaboration. We study the continuum limit using inverse lattice spacings from a −1 ≈ 1.6 GeV to 3.5 GeV, identical to recent studies by FNAL/HPQCD/MILC and Aubin et al. and similar to the recent study of BMW. Our calculation exhibits a tension for the particularly interesting window result of a ud,conn.,isospin,W µ from 0.4 fm to 1.0 fm with previous results obtained with a different discretization of the vector current on the same gauge configurations. Our results may indicate a difficulty related to estimating uncertainties of the continuum extrapolation that deserves further attention. In this work we also provide results for a ud,conn.,isospin µ , a s,conn.,isospin µ , a SIB,conn. µ for the total contribution and a large set of windows. For the total contribution, we find a HVP LO µ = 714(27)(13)10 −10 , a ud,conn.,isospin µ = 657(26)(12)10 −10 , a s,conn.,isospin µ = 52.83(22)(65)10 −10 , and a SIB,conn. µ = 9.0(0.8)(1.2)10 −10 , where the first uncertainty is statistical and the second systematic. We also comment on finite-volume corrections for the strong-isospin-breaking corrections.

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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%

“…In the first contribution a had µ (<) the vector correlator is directly given by the lattice data, while for the second contribution a had µ (>) an analytic representation is required (see refs. [17,18,20,21]). If T data is large enough that the ground-state contribution is dominant for t > T data , one can write…”

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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The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD

Cited by 87 publications

References 95 publications

Towards extracting the timelike pion form factor on CLS twoflavour ensembles

Towards extracting the timelike pion form factor on CLS twoflavour ensembles

Consistency of hadronic vacuum polarization between lattice QCD and the R ratio

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

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