NNLO QED contribution to the µe → µe elastic scattering

Ronca, Jonathan

doi:10.1051/epjconf/202023401015

Cited by 4 publications

(3 citation statements)

References 61 publications

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“…[299][300][301][302], where all the master integrals for the two-loop planar and nonplanar four-point Feynman diagrams were computed. These results, obtained setting the electron mass to zero while retaining full dependence on the muon one, paved the way for the evaluation of the two-loop QED amplitude for massless electrons, which is now close to completion [303]. The extraction of the leading electron mass effects from the massless µe scattering amplitudes has been recently addressed in Ref.…”

Section: Prospects To Improve Hvp Further 241 the Muone Projectmentioning

confidence: 78%

The anomalous magnetic moment of the muon in the Standard Model

Aoyama,

Asmussen,

Benayoun

et al. 2020

Preprint

148

296

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We review the present status of the Standard Model calculation of the anomalous magnetic moment of the muon. This is performed in a perturbative expansion in the fine-structure constant α and is broken down into pure QED, electroweak, and hadronic contributions. The pure QED contribution is by far the largest and has been evaluated up to and including O(α 5 ) with negligible numerical uncertainty. The electroweak contribution is suppressed by (m µ /M W ) 2 and only shows up at the level of the seventh significant digit. It has been evaluated up to two loops and is known to better than one percent. Hadronic contributions are the most difficult to calculate and are responsible for almost all of the theoretical uncertainty. The leading hadronic contribution appears at O(α 2 ) and is due to hadronic vacuum polarization, whereas at O(α 3 ) the hadronic light-by-light scattering contribution appears. Given the low characteristic scale of this observable, these contributions have to be calculated with nonperturbative methods, in particular, dispersion relations and the lattice approach to QCD. The largest part of this review is dedicated to a detailed account of recent efforts to improve the calculation of these two contributions with either a data-driven, dispersive approach, or a first-principle, lattice-QCD approach. The final result reads a SM µ = 116 591 810(43) × 10 −11 and is smaller than the Brookhaven measurement by 3.7σ. The experimental uncertainty will soon be reduced by up to a factor four by the new experiment currently running at Fermilab, and also by the future J-PARC experiment. This and the prospects to further reduce the theoretical uncertainty in the near future-which are also discussed here-make this quantity one of the most promising places to look for evidence of new physics.

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Section: Prospects To Improve Hvp Further 241 the Muone Projectmentioning

confidence: 78%

The anomalous magnetic moment of the muon in the Standard Model

Aoyama,

Asmussen,

Benayoun

et al. 2020

Preprint

148

296

View full text Add to dashboard Cite

show abstract

“…In order to go beyond the approximation of electronic corrections the full two-loop matrix element is required. The corresponding integrals in the limit of massless electrons are known [87,88] and the amplitude is being computed [89]. In addition, also the one-loop matrix element for eµ → eµγ is required.…”

Section: Future Developments Of M Mmentioning

confidence: 99%

QED at NNLO with McMule

et al. 2020

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McMule is a framework for fully differential higher-order QED calculations of scattering and decay processes involving leptons. It keeps finite lepton masses, which regularises collinear singularities. Soft singularities are treated with dimensional regularisation and using FKS^\ellℓ subtraction. We describe the implementation of the framework in Fortran 95, list the processes that are currently implemented, and give instructions on how to run the code. In addition, we present new phenomenological results for muon-electron scattering and lepton-proton scattering, including the dominant NNLO corrections. While the applications presented focus on MUonE, MUSE, and P2, the code can be used for a large number of planned and running experiments.

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“…[302][303][304][305], where all the master integrals for the two-loop planar and nonplanar fourpoint Feynman diagrams were computed. These results, obtained setting the electron mass to zero while retaining full dependence on the muon one, paved the way for the evaluation of the two-loop QED amplitude for massless electrons, which is now close to completion [306]. The extraction of the leading electron mass effects from the massless µe scattering amplitudes has been recently addressed in Ref.…”

Section: Prospects To Improve Hvp Further 241 the Muone Projectmentioning

confidence: 78%

The anomalous magnetic moment of the muon in the Standard Model

Hoferichter

2022

Preprint

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Precision measurements of low-energy observables can allow one to derive powerful constraints on physics beyond the Standard Model of particle physics—if the same quantity can be predicted at the same level of precision as experiment. The anomalous magnetic moment of the muon is a prominent example in which the sensitivity to potential contributions beyond the Standard Model crucially depends on the theoretical prediction. In the seminar I will give an overview of the first publication of the Muon g-2 Theory Initiative, Phys. Rept. 887 (2020) 1, which provided a comprehensive review of all sectors contributing to the Standard Model prediction, with focus on the hadronic corrections.

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NNLO QED contribution to the µe → µe elastic scattering

Cited by 4 publications

References 61 publications

The anomalous magnetic moment of the muon in the Standard Model

The anomalous magnetic moment of the muon in the Standard Model

QED at NNLO with McMule

The anomalous magnetic moment of the muon in the Standard Model

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