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Related papers: Stochastic computation of $g-2$ in QED

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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.…

High Energy Physics - Phenomenology · Physics 2018-02-14 Tatsumi Aoyama , Toichiro Kinoshita , Makiko Nio

This paper reports the values of contributions to the electron g-2 from 300 Feynman diagrams of the gauge-invariant Set III(a) and 450 Feynman diagrams of the gauge-invariant Set III(b). The evaluation is carried out in two versions.…

High Energy Physics - Phenomenology · Physics 2013-05-29 Tatsumi Aoyama , Masashi Hayakawa , Toichiro Kinoshita , Makiko Nio

We are doubtlessly familiar with some edition of Jackson's tome on electrodynamics, and Schwinger's calculation of the anomalous magnetic moment of the electron in QED. From the perspective of strong interactions, however, electromagnetic…

High Energy Physics - Lattice · Physics 2011-11-03 B. C. Tiburzi

The noncommutative dipole QED is studied in detail for the matter fields in the adjoint representation. The axial anomaly of this theory is calculated in two and four dimensions using various regularization methods. The Ward-Takahashi…

High Energy Physics - Theory · Physics 2009-11-07 Neda Sadooghi , Masoud Soroush

Despite recent advances, systematic quantitative treatment of the electron correlation problem in extended systems remains a formidable task. Systematically improvable Green's function methods capable of quantitatively describing weak and…

Chemical Physics · Physics 2016-11-15 Alexander A. Rusakov , Dominika Zgid

The anomalous magnetic moment of the muon is one of the most fundamental observables. It has been measured experimentally with a very high precision and on theory side the contributions from perturbative QED have been calculated up to…

High Energy Physics - Phenomenology · Physics 2014-02-06 P. A. Baikov , A. Maier , P. Marquard

We provide the corrected calculation of the muon g-2 in non-local QED previously done in the literature. In specific, we show the proper technique for calculating loops in non-local QED and use it to find the form factors F1(q1) and F2(q2)…

High Energy Physics - Phenomenology · Physics 2024-04-03 Fayez Abu-Ajamieh , Nobuchika Okada , Sudhir K. Vempati

This work is the first check of gauge invariance for nonperturbative calculations in light-front QED. To quantize QED in an arbitrary covariant gauge, we use a light-front analog of the equal-time Stueckelberg quantization. Combined with a…

High Energy Physics - Phenomenology · Physics 2011-08-12 S. S. Chabysheva , J. R. Hiller

Standard Model contributions to the electron, muon, and tau lepton anomalous magnetic moments, a_l=(g_l-2)/2, are reviewed and updated. The fine structure constant is obtained from the electron g_e-2 and used to refine the QED contribution…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andrzej Czarnecki , William J. Marciano

This talk summarizes the recent developments in the evaluation of the leading order hadronic contributions to the running of the QED fine structure constant $\alpha(s)$, at $s=M_{\rm Z}^2$, and to the anomalous magnetic moment of the muon…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michel Davier

We update the Standard Model predictions of the anomalous magnetic moment of the muon, a_\mu = (g-2)/2, and the value of the QED coupling at the Z-boson mass, incorporating the new e^+e^- \to \pi\pi data obtained by CMD-2 and KLOE, as well…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Hagiwara , A. D. Martin , Daisuke Nomura , T. Teubner

The paper determines the anomalous magnetic moment and Lamb energy level shift in the second order of the perturbation theory using the algorithm of self-energy expression regularization in quantum electrodynamics that meets the…

High Energy Physics - Theory · Physics 2007-05-23 V. P. Neznamov

The contributions to the anomalous magnetic moment of the lepton $L$ ($L=e\ , \mu $ or $\tau$) generated by a specific class of QED diagrams are evaluated analytically up to the eighth order of the electromagnetic coupling constant. The…

High Energy Physics - Phenomenology · Physics 2022-10-21 O. P. Solovtsova , V. I. Lashkevich , L. P. Kaptari

Dirac has predicted that the $g$ factor of an electron is strictly equal to 2 in the framework of relativistic quantum mechanics. However, later physicists have found that this factor can be slightly deviated from 2 (i.e., the problem of…

High Energy Physics - Phenomenology · Physics 2024-01-17 Jing-Ling Chen , Xing-Yan Fan , Xiang-Ru Xie

We review the four-loop QED corrections to the anomalous magnetic moment of the muon. The fermionic contributions with closed electron and tau contributions are discussed. Furthermore, we report on a new independent calculation of the…

High Energy Physics - Phenomenology · Physics 2017-09-21 Peter Marquard , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser , David Wellmann

Quantum electrodynamics (QED) becomes nonlinear when the magnetic field strength surpasses the critical Schwinger limit $B_Q \approx 4.41\cdot 10^{13}$ G. This limit is surpassed, for example, in the magnetospheres of a specific class of…

High Energy Physics - Phenomenology · Physics 2026-03-30 Olavi Kiuru

We employ an effective Lagrangian approach to derive the leading-logarithm two-loop electroweak contributions to the muon anomalous magnetic moment, a_mu. We show that these corrections can be obtained using known results on the anomalous…

High Energy Physics - Phenomenology · Physics 2011-07-19 G. Degrassi , G. F. Giudice

In this article we derive the anomalous magnetic moment of fermions in (2+1)-dimensional parity-conserving QED3, in the presence of an externally applied constant magnetic field. We use a spectral representation of the photon propagator to…

High Energy Physics - Phenomenology · Physics 2009-11-10 Jean Alexandre , K. Farakos , N. E. Mavromatos

We calculate the anomalous magnetic moment for muons at one loop level arising from left right symmetric excited leptons which are excited states of known standard model leptons. Such excited states arise in compositeness theories where the…

High Energy Physics - Phenomenology · Physics 2015-02-20 Piyali Banerjee

Two-loop electroweak corrections to the electron, muon, and tau lepton anomalous magnetic moments have been computed recently. Effects of hadronic contributions to the photon propagator in two-loop QED corrections have also been reanalysed.…

High Energy Physics - Phenomenology · Physics 2011-04-15 Andrzej Czarnecki , Bernd Krause