Hadronic Vacuum Polarization Contribution to the Anomalous Magnetic Moments of Leptons from First Principles

Borsányi, Szabolcs; Fodor, Z.; Hoelbling, Christian; Kawanai, Taichi; Krieg, Stefan; Lellouch, Laurent; Malak, Rehan; Miura, Kiyotaka; Szabó, Kornélia; Torrero, C.; Tóth, Bálint

doi:10.1103/physrevlett.121.022002

Cited by 162 publications

(252 citation statements)

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“…For the two lightest masses λ = 1/12 and λ = 1/6, we also employ the bounding method [20,21,60] to create strict upper and lower bounds for a v µ . We show results for the total a v µ in Fig.…”

Section: A Bounding Methodsmentioning

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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Section: A Bounding Methodsmentioning

confidence: 99%

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

2020

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“…Figure 6. Recent results for the quark-disconnected contribution (a hvp µ ) disc reported by Mainz/CLS [26], RBC/UKQCD [49] and BMW [50].…”

Section: Quark-disconnected Diagramsmentioning

confidence: 92%

“…Our result [26], shown in Eq. (23), is compared to other recent estimates from lattice QCD [39,[48][49][50][62][63][64] and to the data-driven approach in [62]. Given that a range of different discretisations are employed and that the strange and charm quarks make only small contributions to the tail of G(t), the observed consistency can be taken as an indication that lattice artefacts are under good control.…”

Section: Comparison Conclusion and Outlookmentioning

confidence: 94%

“…Figure 4. Compilation of recent results for the isospin-breaking correction δa IB µ to the hadronic vacuum polarisation, determined by ETMC [48], RBC/UKQCD [49], BMW [50] and Fermilab/HPQCD/MILC [51]. Solid circles denote the full (strong and electromagnetic) isospin-breaking correction, while open symbols represent strong isospin breaking only.…”

Section: Isospin Breakingmentioning

confidence: 99%

“…The comparison between lattice estimates and the result from dispersion relations, which is represented by the red vertical band, 1 shows that the overall precision of lattice calculations is not yet sufficient to distinguish between the data-driven approach and the "no new physics" scenario, which is represented by the green band in the right- (a hvp µ ) c · 10 10 Figure 8. Recent results for the hadronic vacuum polarisation contribution from Aubin et al [64], Mainz/CLS [26], Fermilab/HPQCD/MILC (FHM) [63,65,66], PACS [62], ETMC [48,67,68], RBC/UKQCD [49] and BMW [50]. From left to right the panel represent the charm, strange, light (connected) and total contributions to a hvp µ .…”

Section: Comparison Conclusion and Outlookmentioning

confidence: 99%

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Lattice calculation of the hadronic leading order contribution to the muon g − 2

et al. 2020

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The persistent discrepancy of about 3.5 standard deviations between the experimental measurement and the Standard Model prediction for the muon anomalous magnetic moment, a µ , is one of the most promising hints for the possible existence of new physics. Here we report on our lattice QCD calculation of the hadronic vacuum polarisation contribution a hvp µ , based on gauge ensembles with N f = 2 + 1 flavours of O(a) improved Wilson quarks. We address the conceptual and numerical challenges that one encounters along the way to a sub-percent determination of the hadronic vacuum polarisation contribution. The current status of lattice calculations of a hvp µ is presented by performing a detailed comparison with the results from other groups.

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QCD on the Lattice

Wittig¹

2020

Particle Physics Reference Library

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Since Wilson’s seminal papers of the mid-1970s, the lattice approach to Quantum Chromodynamics has become increasingly important for the study of the strong interaction at low energies, and has now turned into a mature and established technique. In spite of the fact that the lattice formulation of Quantum Field Theory has been applied to virtually all fundamental interactions, it is appropriate to discuss this topic in a chapter devoted to QCD, since by far the largest part of activity is focused on the strong interaction. Lattice QCD is, in fact, the only known method which allows ab initio investigations of hadronic properties, starting from the QCD Lagrangian formulated in terms of quarks and gluons.

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Hadronic Vacuum Polarization Contribution to the Anomalous Magnetic Moments of Leptons from First Principles

Cited by 162 publications

References 74 publications

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

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

Lattice calculation of the hadronic leading order contribution to the muon g − 2

QCD on the Lattice

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