# Revised and improved value of the QED tenth-order electron anomalous magnetic moment

@article{Aoyama2017RevisedAI, title={Revised and improved value of the QED tenth-order electron anomalous magnetic moment}, author={Tatsumi Aoyama and Toichiro Kinoshita and Makiko Nio}, journal={Physical Review D}, year={2017}, volume={97}, pages={036001} }

In order to improve the theoretical prediction of the electron anomalous magnetic moment ${a}_{e}$ we have carried out a new numerical evaluation of the 389 integrals of Set V, which represent 6,354 Feynman vertex diagrams without lepton loops. During this work, we found that one of the integrals, called $X024$, was given a wrong value in the previous calculation due to an incorrect assignment of integration variables. The correction of this error causes a shift of $\ensuremath{-}1.26$ to the… Expand

#### 147 Citations

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

- Physics
- Physical Review D
- 2019

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… Expand

Numerical calculation of 5-loop QED contributions to the electron anomalous magnetic moment.

- Physics
- 2018

Preliminary numerical results of calculating the 5-loop QED contributions to the electron (and muon) anomalous magnetic moment are presented. The results include the total contribution of the 5-loop… Expand

Theory of the Anomalous Magnetic Moment of the Electron

- Physics
- Atoms
- 2019

The anomalous magnetic moment of the electron a e measured in a Penning trap occupies a unique position among high precision measurements of physical constants in the sense that it can be compared… Expand

g−2
of charged leptons,
α(MZ2)
, and the hyperfine splitting of muonium

- Physics
- 2019

Following updates in the compilation of $e^+e^-\rightarrow{\rm
hadrons}$ data, this work presents re-evaluations of the hadronic vacuum polarisation contributions to the anomalous magnetic moment of… Expand

Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment

- Physics
- 2020

In this work we study the axial contributions to the hadronic light-by-light piece of the muon anomalous magnetic moment using the framework of resonance chiral theory. As a result, we obtain… Expand

Stochastic computation of $g-2$ in QED

- Physics
- 2021

We perform a numerical computation of the anomalous magnetic moment (g − 2) of electron in QED by using the stochastic perturbation theory. Formulating QED on the lattice, we develop a method to… Expand

(g−2)μ,e
and the ANITA anomalous events in a three-loop neutrino mass model

- Physics
- 2019

The most recent measurement of the fine structure constant leads to a $2.4\ensuremath{\sigma}$ deviation in the electron anomalous magnetic moment ${g}_{e}\ensuremath{-}2$, while the muon anomalous… Expand

Lepton anomalous magnetic moments in Lattice QCD+QED

- Physics
- 2019

We present a lattice calculation of the Hadronic Vacuum Polarization (HVP) contribution to the anomalous magnetic moments of the electron, $a_e^{\rm HVP}$, the muon, $a_\mu^{\rm HVP}$, and the tau,… Expand

Hadronic vacuum-polarization contribution to various QED observables

- Physics
- 2021

Due to precision tests of quantum electrodynamics (QED), determination of accurate values of fundamental constants, and constraints on new physics, it is important in a consistent way to evaluate a… Expand

Muon $g-2$ and semileptonic $B$ decays in BDW model with gauge kinetic mixing

- Physics
- 2020

In the model proposed by Belanger, Delaunay and Westhoff (BDW), a new sector consisted of vector-like fermions and two complex scalars is charged under an extra Abelian symmetry $U(1)_X$. In this… Expand

#### References

SHOWING 1-10 OF 153 REFERENCES

Tenth-Order Electron Anomalous Magnetic Moment --- Contribution of Diagrams without Closed Lepton Loops

- Physics
- 2015

This paper presents a detailed account of the evaluation of the electron anomalous magnetic moment ${a}_{e}$ which arises from a gauge-invariant set, called Set V, consisting of 6354 tenth-order… Expand

Tenth-Order Lepton Anomalous Magnetic Moment—Sixth-Order Vertices Containing Vacuum-Polarization Subdiagrams

- Physics
- 2011

This paper reports the values of contributions to the electron $g\ensuremath{-}2$ from 300 Feynman diagrams of the gauge-invariant Set III(a) and 450 Feynman diagrams of the gauge-invariant Set… Expand

Tenth-order QED lepton anomalous magnetic moment: Eighth-order vertices containing a second-order vacuum polarization

- Physics
- 2012

This paper reports the evaluation of the tenth-order QED contribution to the lepton g-2 from the gauge-invariant set of 2072 Feynman diagrams, called Set IV, which are obtained by inserting a… Expand

Improved analytic theory of the muon anomalous magnetic moment.

- Physics, Medicine
- Physical review. D, Particles and fields
- 1991

An independent check of Kinoshita's results in fourth and sixth order by analytical means, using expansions in the small mass ratios which occur in the computation. Expand

New value of the alpha 3 electron anomalous magnetic moment.

- Physics, Medicine
- Physical review letters
- 1995

The fine structure constant {alpha} determined from theory and experiment of {ital a}{sub {ital e}} is reduced by 55{times}10{sup {minus}9}. Expand

Refinements in electroweak contributions to the muon anomalous magnetic moment

- Physics
- 2003

Effects of strong interactions on the two loop electroweak radiative corrections to the muon anomalous magnetic moment, $a_\mu=(g_\mu-2)/2$, are examined. Short-distance logs are shown to be… Expand

Tenth-Order QED contribution to Lepton Anomalous Magnetic Moment - Fourth-Order Vertices Containing Sixth-Order Vacuum-Polarization Subdiagrams

- Physics
- 2011

This paper reports the tenth-order contributions to the g-2 of the electron a{sub e} and those of the muon a{sub {mu}} from the gauge-invariant Set II(c), which consists of 36 Feynman diagrams, and… Expand

Tenth-Order Lepton Anomalous Magnetic Moment: Second-Order Vertex Containing Two Vacuum Polarization Subdiagrams, One Within the Other

- Physics
- 2008

This paper reports the tenth-order QED contribution to the $g\ensuremath{-}2$ of electron and muon from two gauge-invariant sets: Set $\mathrm{I}(g)$ and Set $\mathrm{I}(h)$. In the case of electron… Expand

Proper Eighth-Order Vacuum-Polarization Function and its Contribution to the Tenth-Order Lepton g-2

- Physics
- 2011

This paper reports the Feynman-parametric representation of the vacuum-polarization function consisting of 105 Feynman diagrams of the eighth order, and its contribution to the gauge-invariant set… Expand

Hadronic contributions to the anomalous magnetic moment of the electron and the hyperfine splitting of muonium

- Physics
- 2013

Motivated by recent progress of theory and experiment on the anomalous magnetic moment of the electron, ae, we update the hadronic contributions to ae. Using our up-to-date compilation of e + e − !… Expand