Analysis of systematic error in hadronic vacuum polarization contribution to muon g-2

Shintani, Eigo; Kuramashi, Y.

doi:10.22323/1.334.0060

Cited by 8 publications

(13 citation statements)

References 13 publications

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“…For isospin-symmetric lattice-QCD simulations in which the pions in the loops have the mass of the π 0 , the model predicts slightly larger finitevolume corrections, ∼ (14−31) × 10 −10 . For comparison, preliminary lattice-QCD studies by the PACS and RBC/UKQCD collaborations find finite-volume shifts of ∆a ll µ (conn.) 5.4 fm → 10.8 fm = 40(18) × 10 −10 [44] and ∆a ll µ (conn.) 4.66 fm → 6.22 fm = 21.6(6.3) × 10 −10 [45], respectively, which are not in disagreement with our model given their large statistical uncertainties.…”

Section: Lattice Corrections and Continuum Extrapolationmentioning

confidence: 99%

Hadronic-vacuum-polarization contribution to the muon’s anomalous magnetic moment from four-flavor lattice QCD

et al. 2020

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We calculate the contribution to the muon anomalous magnetic moment hadronic vacuum polarization from the connected diagrams of up and down quarks, omitting electromagnetism. We employ QCD gauge-field configurations with dynamical u, d, s, and c quarks and the physical pion mass, and analyze five ensembles with lattice spacings ranging from a ≈ 0.06-0.15 fm. The up-and downquark masses in our simulations have equal masses m l . We obtain, in this world where all pions have the mass of the π 0 , 10 10 a ll µ (conn.) = 630.1(8.3), in agreement with independent lattice-QCD calculations. We then combine this value with published lattice-QCD results for the connected contributions from strange, charm, and bottom quarks, and an estimate of the uncertainty due to the fact that our calculation does not include strong-isospin breaking, electromagnetism, or contributions from quark-disconnected diagrams. We obtain for the total order (α 2 ) hadronic-vacuum polarization to the muon's anomalous magnetic moment 10 10 a HVP,LO µ = 691(8) u,d (1) s,c,b (13) other , where the errors are from the light-quark connected contribution, heavy-flavor connected contributions, and omitted effects listed above, respectively. Our result agrees with both ab-initio lattice-QCD calculations and phenomenological determinations from experimental e + e − -scattering data. It is 1.7σ below the "no new physics" value of the hadronic-vacuum-polarization contribution inferred from combining the BNL E821 measurement of aµ with theoretical calculations of the other contributions. * christine.davies@glasgow.ac.uk † ruthv@fnal.gov

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Section: Lattice Corrections and Continuum Extrapolationmentioning

confidence: 99%

Hadronic-vacuum-polarization contribution to the muon’s anomalous magnetic moment from four-flavor lattice QCD

et al. 2020

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“…∆a LO-HVP µ,ud (5.4 fm, 10.8 fm) = 40(18) [42] though the statistical error is large and has overlap to the other results. Thus, the FV effect tends to become larger by taking account of various mode contributions besides the lowest pion mode.…”

Section: Figurementioning

confidence: 79%

Review of Lattice QCD Studies of Hadronic Vacuum Polarization Contribution to Muon $g−2$

Miura¹

2019

Proceedings of the 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)

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Lattice QCD (LQCD) studies for the hadron vacuum polarization (HVP) and its contribution to the muon anomalous magnetic moment (muon g − 2) are reviewed. There currently exists more than 3-σ deviations in the muon g − 2 between the BNL experiment with 0.5 ppm precision and the Standard Model (SM) predictions, where the latter relies on the QCD dispersion relation for the HVP. The LQCD provides an independent crosscheck of the dispersive approaches and important indications for assessing the SM prediction with measurements at ongoing/forthcoming experiments at Fermilab/J-PARC (0.14/0.1 ppm precision). The LQCD has made significant progress, in particular, in the long distance and finite volume control, continuum extrapolations, and QED and strong isospin breaking (SIB) corrections. In the recently published papers, two LQCD estimates for the HVP muon g − 2 are consistent with No New Physics while the other three are not. The tension solely originates to the light-quark connected contributions and indicates some under-estimated systematics in the large distance control. The strange and charm connected contributions as well as the disconnected contributions are consistent among all LQCD groups and determined precisely. The total error is at a few percent level. It is still premature by the LQCD to confirm or infirm the deviation between the experiments and the SM predictions. If the LQCD is combined with the dispersive method, the HVP muon g − 2 is predicted with 0.4% uncertainty, which is close upon the target precision required by the Fermilab/J-PARC experiments. Continuous and considerable improvements are work in progress, and there are good prospects that the target precision will get achieved within the next few years.

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“…Finite volume (FV) effects in the vector correlator are dominated by the two-pion state and can thus be expected to be important for large time separations t. Various studies (see, e.g. [26,20,16,27]) of FV effects for lattice calculations of a HVP µ suggest that these are of the order of ∆ FV a HVP µ ≈ 20 − 30 × 10 −10 for typical sizes of 5 − 6 fm of state-of-the-art lattice ensembles used at the physical point. Thus, it is crucial to carefully study and correct for FV effects when aiming at percent level precision for the HVP.…”

Section: Finite Volume Effectsmentioning

confidence: 99%

“…A straightforward way to study finite volume effects is using ensembles that differ only in the volume. Figure 6 shows results from the PACS collaboration [26] for the a HVP µ integrand calculated using two different volumes of 5.4 fm and 10.8 fm at the physical pion mass. One can clearly see, a significant difference between the data on both ensembles, in particular for larger values of t. The authors of [26] found finite volume effects for a HVP µ to be about 1.7 times larger than what was expected from next-to-leading order (NLO) Chiral Perturbation Theory (χPT).…”

Section: Finite Volume Effectsmentioning

confidence: 99%

“…Figure 6 shows results from the PACS collaboration [26] for the a HVP µ integrand calculated using two different volumes of 5.4 fm and 10.8 fm at the physical pion mass. One can clearly see, a significant difference between the data on both ensembles, in particular for larger values of t. The authors of [26] found finite volume effects for a HVP µ to be about 1.7 times larger than what was expected from next-to-leading order (NLO) Chiral Perturbation Theory (χPT). Finite volume corrections to a HVP µ have been determined at next-to-next-to-leading order (NNLO) in χPT recently [28,20] and the authors of [20] find that additional FV effects from NNLO are about 0.4 − 0.45 times the NLO FV corrections.…”

Section: Finite Volume Effectsmentioning

confidence: 99%

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Recent Developments of Muon g-2 from Lattice QCD

Guelpers¹

2020

Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)

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One of the most promising quantities for the search of signatures of physics beyond the Standard Model is the anomalous magnetic moment g − 2 of the muon, where a comparison of the experimental result with the Standard Model estimate yields a deviation of about 3.5 σ. On the theory side, the largest uncertainty arises from the hadronic sector, namely the hadronic vacuum polarisation and the hadronic light-by-light scattering. I review recent progress in calculating the hadronic contributions to the muon g − 2 from the lattice and discuss the prospects and challenges to match the precision of the upcoming experiments.

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Analysis of systematic error in hadronic vacuum polarization contribution to muon g-2

Cited by 8 publications

References 13 publications

Hadronic-vacuum-polarization contribution to the muon’s anomalous magnetic moment from four-flavor lattice QCD

Hadronic-vacuum-polarization contribution to the muon’s anomalous magnetic moment from four-flavor lattice QCD

Review of Lattice QCD Studies of Hadronic Vacuum Polarization Contribution to Muon $g−2$

Recent Developments of Muon g-2 from Lattice QCD

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