2019
DOI: 10.1103/physrevd.100.034517
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Hadronic vacuum polarization contribution to the muon g2 with ( 2+1 )-flavor lattice QCD on a larger than

Abstract: We study systematic uncertainties in the lattice QCD computation of hadronic vacuum polarization (HVP) contribution to the muon g − 2. We investigate three systematic effects; finite volume (FV) effect, cutoff effect, and integration scheme dependence. We evaluate the FV effect at the physical pion mass on two different volumes of (5.4 fm) 4 and (10.8 fm) 4 using the PACS10 configurations at the same cutoff scale. For the cutoff effect, we compare two types of lattice vector operators, which are local and cons… Show more

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Cited by 82 publications
(72 citation statements)
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“…(7).] However, we stress that our results are relevant for any of the forthcoming precision calculations of HVP in lattice QCD, especially in view of the fact that the current average a HVP μ ¼ 711.6ð18.4Þ × 10 −10 [20, [98][99][100][101][102][103][104][105][106] also suggests a bigger central value, albeit with sufficiently large uncertainties to be consistent with the e þ e − value.…”
mentioning
confidence: 63%
“…(7).] However, we stress that our results are relevant for any of the forthcoming precision calculations of HVP in lattice QCD, especially in view of the fact that the current average a HVP μ ¼ 711.6ð18.4Þ × 10 −10 [20, [98][99][100][101][102][103][104][105][106] also suggests a bigger central value, albeit with sufficiently large uncertainties to be consistent with the e þ e − value.…”
mentioning
confidence: 63%
“…Recently, renewed interest in the electromagnetic properties of axial-vector resonances has been triggered by hadronic corrections to the anomalous magnetic moment of the muon, with the current Standard-Model prediction , differing from experiment [34][35][36][37][38], a exp µ = 116 592 061(41) × 10 −11 , (1.2) by 4.2σ. While at present the uncertainty is dominated by hadronic vacuum polarization, with an emerging tension between the determination from e + e − data [9,[14][15][16][17][18][19][20] and lattice QCD [9,[39][40][41][42][43][44][45][46][47][48], see refs. [49][50][51][52], the ultimate precision expected from the Fermilab [53] and J-PARC [54] experiments demands that also the second-most-uncertain contribution, hadronic light-by-light (HLbL) scattering, be further improved.…”
Section: Introductionmentioning
confidence: 99%
“…Since the main branching ratios were precisely measured at LEP in very clean experimental conditions and without any need for an external normalization, this discrepancy seems to signal unaccounted systematics in the + − data. This conclusion is further reinforced by the most recent lattice determinations of the LO hadronic vacuum polarization contribution to the muon − 2 [243][244][245][246][247][248][249][250][251], which find values slightly higher than the dispersive + − results and in better agreement with the -based determination [242].…”
Section: Finite-energy Sum Rules With Electron-positron Datamentioning
confidence: 68%