A precise determination of the HVP contribution to the muon anomalous magnetic moment from lattice QCD

Lehner, Christoph

doi:10.1051/epjconf/201817501024

Cited by 12 publications

(8 citation statements)

References 14 publications

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“…This can be accomplished by constructing windows that suppress contributions outside of the window region [21]. Rather than using Heaviside step functions to isolate these ranges, which would have significant dependence on the lattice cutoff near the boundary of the window, a smoothed step is considered [16,51]:…”

Section: B Window 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: B Window Methodsmentioning

confidence: 99%

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

2020

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“…[6], Mainz/CLS 17 [2], Aubin+Blum 07 [19], RBC/UKQCD 11 [20], ETM 13 [21], ETM 15 [22], HPQCD 16 [23] and BMW 17 [24]. See [25] for another recent calculation. The vertical band represents the result from dispersion theory.…”

Section: G(xmentioning

confidence: 99%

A lattice calculation of the hadronic vacuum polarization contribution to (g – 2)_µ

et al. 2018

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We present results of calculations of the hadronic vacuum polarisation contribution to the muon anomalous magnetic moment. Specifically, we focus on controlling the infrared regime of the vacuum polarisation function. Our results are corrected for finite-size effects by combining the Gounaris-Sakurai parameterisation of the timelike pion form factor with the Lüscher formalism. The impact of quark-disconnected diagrams and the precision of the scale determination is discussed and included in our final result in two-flavour QCD, which carries an overall uncertainty of 6%. We present preliminary results computed on ensembles with Nf = 2 + 1 dynamical flavours and discuss how the long-distance contribution can be accurately constrained by a dedicated spectrum calculation in the iso-vector channel.

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“…Talks dedicated to specific topics ranged from the discussion of B-physics anomalies in the flavour sector [40,41] or the determination of α s from different perspectives [55,56], to the status and evolution of QCD codes for high-performance computing [59], this year with special emphasis on the new KNL architecture (Intel) that will play an important role in the next generation of supercomputers. Progress in the calculation of notoriously difficult quantities like the nucleon axial charge [45], the nucleon EDM [51], the muon anomalous magnetic moment [62,63], or the gluonic structure of nuclei [52] has also been reported. Another topic that has drawn a lot of attention recently is the computation of quasi-parton distribution functions; a plenary session trying to assess the impact of lattice results in this field has been presented during the conference [43].…”

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confidence: 99%

Preface

Morte¹,

Fritzsch²,

Sánchez³

et al. 2018

EPJ Web Conf.

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A precise determination of the HVP contribution to the muon anomalous magnetic moment from lattice QCD

Cited by 12 publications

References 14 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

A lattice calculation of the hadronic vacuum polarization contribution to (g – 2)_µ

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A precise determination of the HVP contribution to the muon anomalous magnetic moment from lattice QCD

Cited by 12 publications

References 14 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

A lattice calculation of the hadronic vacuum polarization contribution to (g – 2)µ

Preface

Contact Info

Product

Resources

About

A lattice calculation of the hadronic vacuum polarization contribution to (g – 2)_µ