English

QED 5-loop on the lattice

High Energy Physics - Lattice 2024-11-19 v1 High Energy Physics - Phenomenology
Authors: Ryuichiro Kitano
View on arXiv ↗ PDF ↗

Abstract

We report the result of the numerical lattice computation of the lepton anomalous magnetic moment in QED up to five loops. We concentrate on the contributions from diagrams without lepton loops, which are the most difficult part of the calculation in the Feynman diagram method while the lattice formulation is the easiest. Good agreement with the results of the Feynman diagram method is observed.

Cite

@article{arxiv.2411.11554,
  title  = {QED 5-loop on the lattice},
  author = {Ryuichiro Kitano},
  journal= {arXiv preprint arXiv:2411.11554},
  year   = {2024}
}

Comments

13 pages, 2 figures

Related papers

View all related →
High Energy Physics - Phenomenology · Physics
Calculating the five-loop QED contribution to the electron anomalous magnetic moment: Graphs without lepton loops
Sergey Volkov
2019-11-13
High Energy Physics - Phenomenology · Physics
Numerical calculation of 5-loop QED contributions to the electron anomalous magnetic moment
Sergey Volkov
2020-08-26
High Energy Physics - Phenomenology · Physics
New method of computing the contributions of graphs without lepton loops to the electron anomalous magnetic moment in QED
Sergey Volkov
2017-11-29
High Energy Physics - Phenomenology · Physics
Verification of the tenth-Order QED contribution to the anomalous magnetic moment of the electron from diagrams without fermion loops
Tatsumi Aoyama, Masashi Hayakawa, Akira Hirayama, Makiko Nio
2025-03-17
High Energy Physics - Phenomenology · Physics
Automated Calculation Scheme for alpha^n Contributions of QED to Lepton g-2
T. Aoyama, M. Hayakawa, T. Kinoshita, M. Nio
2009-11-11
High Energy Physics - Lattice · Physics
Stochastic computation of $g-2$ in QED
Ryuichiro Kitano, Hiromasa Takaura, Shoji Hashimoto
2021-06-02
High Energy Physics - Phenomenology · Physics
Automated Calculation Scheme for alpha^n Contributions of QED to Lepton g-2: Generating Renormalized Amplitudes for Diagrams without Lepton Loops
T. Aoyama, M. Hayakawa, T. Kinoshita, M. Nio
2009-11-11
High Energy Physics - Phenomenology · Physics
A Flexible Divergence Elimination Method for Calculating Lepton Magnetic Moments in Quantum Electrodynamics
Sergey Volkov
2023-02-20
High Energy Physics - Phenomenology · Physics
Anomalous muon magnetic moment in a left-right symmetric composite model
Piyali Banerjee
2015-02-20
High Energy Physics - Phenomenology · Physics
The QED vacuum polarization function at four loops and the anomalous magnetic moment at five loops
P. A. Baikov, A. Maier, P. Marquard
2014-02-06
High Energy Physics - Phenomenology · Physics
Numerical calculation of high-order QED contributions to the electron anomalous magnetic moment
Sergey Volkov
2018-11-07
High Energy Physics - Phenomenology · Physics
Lepton anomaly from QED diagrams with vacuum polarization insertions within the Mellin-Barnes representation
O. P. Solovtsova, V. I. Lashkevich, L. P. Kaptari
2022-10-21
High Energy Physics - Phenomenology · Physics
Analytical eighth-order light-by-light QED contributions from leptons with heavier masses to the anomalous magnetic moment of electron
A. L. Kataev
2013-05-30
High Energy Physics - Phenomenology · Physics
Calculation of the total 10-th order QED contribution to the electron magnetic moment
Sergey Volkov
2024-05-28
High Energy Physics - Phenomenology · Physics
Computing Techniques for Two-Loop Corrections to Anomalous Magnetic Moments of Leptons
Andrzej Czarnecki, Bernd Krause
2011-04-15
High Energy Physics - Phenomenology · Physics
A Way of Fast Calculating Lepton Magnetic Moments in Quantum Electrodynamics
Sergey Volkov
2022-09-07
High Energy Physics - Phenomenology · Physics
Analytical calculations of the tenth order QED radiative corrections to lepton anomalies within the Mellin-Barnes representation
O. P. Solovtsova, V. I. Lashkevich, L. P. Kaptari
2023-10-19
High Energy Physics - Phenomenology · Physics
Subtraction Procedure for Calculation of Anomalous Magnetic Moment of Electron in QED and its Application to Numerical Computation at 3-loop Level
Sergey Volkov
2017-05-17
High Energy Physics - Phenomenology · Physics
Light-by-light-type corrections to the muon anomalous magnetic moment at four-loop order
Alexander Kurz, Tao Liu, Peter Marquard, Alexander V. Smirnov +2
2015-11-04
High Energy Physics - Lattice · Physics
Two-flavor QCD correction to lepton magnetic moments at leading-order in the electromagnetic coupling
Xu Feng, Marcus Petschlies, Karl Jansen, Dru B. Renner
2013-05-29
High Energy Physics - Phenomenology · Physics
Automated Calculation Scheme for alpha^n Contributions of QED to Lepton g-2: New Treatment of Infrared Divergence for Diagrams without Lepton Loops
T. Aoyama, M. Hayakawa, T. Kinoshita, M. Nio
2008-11-26
High Energy Physics - Phenomenology · Physics
Contributions of QED diagrams with vacuum polarization insertions to the lepton anomaly within the Mellin--Barnes representation
O. P. Solovtsova, V. I. Lashkevich, L. P. Kaptari
2024-06-12
High Energy Physics - Phenomenology · Physics
Tenth-Order QED Contribution to the Lepton Anomalous Magnetic Moment -- Sixth-Order Vertices Containing an Internal Light-by-Light-Scattering Subdiagram
T. Aoyama, M. Hayakawa, T. Kinoshita, M. Nio
2013-05-30
High Energy Physics - Phenomenology · Physics
The Tenth-Order QED Contribution to the Lepton g-2: Evaluation of Dominant $\alpha^5$ Terms of Muon g-2
T. Kinoshita, M. Nio
2009-11-11
High Energy Physics - Phenomenology · Physics
Tenth-Order QED contribution to Lepton Anomalous Magnetic Moment - Fourth-Order Vertices Containing Sixth-Order Vacuum-Polarization Subdiagrams
T. Aoyama, M. Hayakawa, T. Kinoshita, M. Nio
2015-03-17
R2 v1 2026-06-28T20:03:31.081Z