Numerical calculation of high-order QED contributions to the electron anomalous magnetic moment

Volkov, S. N.

doi:10.1103/physrevd.98.076018

Cited by 21 publications

(27 citation statements)

References 51 publications

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“…It is in good agreement with the preliminary value 6.782(113) published in Ref. [35]. , n ≤ 4 , a e (hadronic) + a e (electroweak) (see a review in Ref.…”

Section: Introductionsupporting

confidence: 92%

“…The contribution values of nine gauge-invariant classes splitting the whole set are presented for the first time (except the preliminary values in Ref. [35]).…”

Section: Discussionmentioning

confidence: 99%

“…This leads to a 16 This criteria differs from the previous one from Ref. [32]. The previous criteria was erroneous: it did not take into account that the mean value of the round-off error is not zero.…”

Section: A Evaluation Of the Integrands With Gpusmentioning

confidence: 91%

“…For the 4-loop case without lepton loops an analogous splitting is presented in Ref. [32], but without a comparison (because no one presented the 4-loop results in the form that is applicable for the comparison). 13 .…”

Section: Classmentioning

confidence: 99%

“…The algorithm of obtaining σ ↑ based on heuristic predictions is described in Ref. [32]. For the 5-loop case we use exactly the same method.…”

Section: B Obtaining the Value And Uncertaintymentioning

confidence: 99%

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Calculating the five-loop QED contribution to the electron anomalous magnetic moment: Graphs without lepton loops

Volkov

2019

Phys. Rev. D

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This paper describes a computation of a part of the QED contribution to the electron anomalous magnetic moment that was performed by the author with the help of a supercomputer. The computed part includes all 5-loop QED Feynman graphs without lepton loops. The calculation has led to the result A (10) 1 [no lepton loops] = 6.793(90) that is slightly different than the value 7.668(159) presented by T. Aoyama, T. Kinoshita, and M. Nio in 2018. The discrepancy is about 4.8σ . The computation gives the first independent check for that value. A shift in the fine-structure constant prediction is revealed in the paper. The developed calculation method is based on (a) a subtraction procedure for removing all ultraviolet and infrared divergences in Feynman parametric space before integration; (b) a nonadaptive Monte Carlo integration that uses the probability density functions that are constructed for each Feynman graph individually using its combinatorial structure. The method is described briefly in the paper (with the corresponding references to the previous papers). The values for the contributions of nine gauge-invariant classes splitting the whole set are presented in the paper. Moreover, the whole set of all 5-loop graphs without lepton loops is split into 807 subsets for comparison (in the future) of the calculated values with the values obtained by another methods. These detailed results are presented in the supplemental materials. Also, the supplemental materials contain the contribution values for each of 3213 individual Feynman graphs. An "oscillating" nature of these values is discussed. A realization of the numerical integration on the graphics accelerator NVidia Tesla V100 (as a part of the supercomputer "Govorun" from JINR, Dubna) is described with technical details such as pseudorandom generators, calculation speed, code sizes and structure, prevention of round-off errors and overflows, etc.

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“…It is in good agreement with the preliminary value 6.782(113) published in Ref. [35]. , n ≤ 4 , a e (hadronic) + a e (electroweak) (see a review in Ref.…”

Section: Introductionsupporting

confidence: 92%

“…The contribution values of nine gauge-invariant classes splitting the whole set are presented for the first time (except the preliminary values in Ref. [35]).…”

Section: Discussionmentioning

confidence: 99%

Section: A Evaluation Of the Integrands With Gpusmentioning

confidence: 91%

Section: Classmentioning

confidence: 99%

“…The algorithm of obtaining σ ↑ based on heuristic predictions is described in Ref. [32]. For the 5-loop case we use exactly the same method.…”

Section: B Obtaining the Value And Uncertaintymentioning

confidence: 99%

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Calculating the five-loop QED contribution to the electron anomalous magnetic moment: Graphs without lepton loops

Volkov

2019

Phys. Rev. D

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A light complex scalar for the electron and muon anomalous magnetic moments

Liu

Wagner

Wang

2019

J. High Energ. Phys.

121

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The anomalous magnetic moments of the electron and the muon are interesting observables, since they can be measured with great precision and their values can be computed with excellent accuracy within the Standard Model (SM). The current experimental measurement of this quantities show a deviation of a few standard deviations with respect to the SM prediction, which may be a hint of new physics. The fact that the electron and the muon masses differ by two orders of magnitude and the deviations have opposite signs makes it difficult to find a common origin of these anomalies.In this work we introduce a complex singlet scalar charged under a Peccei-Quinn-like (PQ) global symmetry together with the electron transforming chirally under the same symmetry. In this realization, the CP-odd scalar couples to electron only, while the CP-even part can couple to muons and electrons simultaneously. In addition, the CP-odd scalar can naturally be much lighter than the CP-even scalar, as a pseudo-Goldstone boson of the PQ-like symmetry, leading to an explanation of the suppression of the electron anomalous magnetic moment with respect to the SM prediction due to the CP-odd Higgs effect dominance, as well as an enhancement of the muon one induced by the CP-even component.

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Neutrino masses and magnetic moments of electron and muon in the Zee Model

Barman

Dcruz

Thapa

2022

J. High Energ. Phys.

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We explore parameter space in the Zee Model to resolve the long-standing tension of the electron and muon anomalous magnetic moment (AMM). The model comprises a second Higgs doublet and a charged singlet at electroweak scale and generates Majorana neutrino masses at one-loop level; the neutral partner of the SU(2)L doublet contributes to the AMM of electron and muon via one loop and two-loop corrections. We propose two minimal flavor structures that can explain these anomalies while fitting the neutrino oscillation data. We find that the neutral Higgs resides in the mass range of roughly 10–300 GeV or 1–30 GeV, depending on the flavor structures. The model is consistent with constraints from colliders, electroweak precision data, and lepton flavor violation. To be comprehensive, we examine the constraints from the electric dipole moment (EDM) and find a region of parameter space that gives a sizable contribution to muon EDM while simultaneously giving corrections to muon AMM. In addition to the light scalar, the two charged scalars with masses as low as 100 GeV can induce nonstandard neutrino interactions εee as large as 8%, potentially hinting at new physics. We also investigate the projected capability of future lepton colliders to probe the currently allowed parameter space consistent with both electron and muon AMMs via direct searches in the ℓ+ℓ− → ℓ+ℓ−(H → ℓ+ℓ−) channel.

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Numerical calculation of high-order QED contributions to the electron anomalous magnetic moment

Cited by 21 publications

References 51 publications

Calculating the five-loop QED contribution to the electron anomalous magnetic moment: Graphs without lepton loops

Calculating the five-loop QED contribution to the electron anomalous magnetic moment: Graphs without lepton loops

A light complex scalar for the electron and muon anomalous magnetic moments

Neutrino masses and magnetic moments of electron and muon in the Zee Model

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