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In this second paper on quantum fluctuations near the classical instanton configurations, see {\em Phys. Rev. D \bf 92}, 025046 (2015) and arXiv:1501.03993, we focus on another well studied quantum-mechanical problem, the one-dimensional…

高能物理 - 理论 · 物理学 2015-11-05 M. A. Escobar-Ruiz , E. Shuryak , A. V. Turbiner

We present a new lattice QCD calculation of the leading order hadronic vacuum polarization (LO-HVP) contribution to the muon anomalous magnetic moment $a_\mu$. We reduce uncertainties compared to our earlier computation arXiv:2002.12347 by…

After a brief self-contained introduction to the muon anomalous magnetic moment, (g-2), we review the status of lattice calculations of the hadronic vacuum polarization contribution and present first results from lattice QCD for the…

高能物理 - 格点 · 物理学 2013-01-15 T. Blum , M. Hayakawa , T. Izubuchi

For the first time, we compute three-loop contributions to all triple vertices in QCD at the symmetric point. The analytic results are obtained in massless QCD with an arbitrary color group in the Landau gauge. All new loop integrals are…

高能物理 - 唯象学 · 物理学 2020-04-15 Alexander Bednyakov , Andrey Pikelner

I present analytical expressions for the cusp anomalous dimension in QCD through three loops in terms of elementary functions and ordinary polylogarithms. I observe interesting relations between the results at different loops and provide a…

高能物理 - 唯象学 · 物理学 2016-05-25 Nikolaos Kidonakis

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.…

高能物理 - 唯象学 · 物理学 2011-04-15 Andrzej Czarnecki , Bernd Krause

The hadronic vacuum-polarization contribution to the muon anomalous magnetic moment a_{mu}(hadr) and to the value of the eleectromagnetic coupling constant at q^2 = M^2_z are determined more precisely in connection with a new more exact…

高能物理 - 唯象学 · 物理学 2007-05-23 B. V. Geshkenbein

This work presents a complete re-evaluation of the hadronic vacuum polarisation contributions to the anomalous magnetic moment of the muon, $a_{\mu}^{\rm had, \, VP}$ and the hadronic contributions to the effective QED coupling at the mass…

高能物理 - 唯象学 · 物理学 2018-07-16 Alexander Keshavarzi , Daisuke Nomura , Thomas Teubner

We present a Lorentz-covariant, Euclidean coordinate-space expression for the hadronic vacuum polarisation, the Adler function and the leading hadronic contribution to the anomalous magnetic moment of the muon. The representation offers a…

高能物理 - 格点 · 物理学 2017-10-25 Harvey B. Meyer

We present the estimates of the five-loop QED corrections to the muon anomaly using the scheme-invariant approaches and demonstrate that they are in good agreement with the results of exact calculations of the corresponding tenth-order…

高能物理 - 唯象学 · 物理学 2016-08-24 Andrei L. Kataev , Valery V. Starshenko

The hadronic contribution to the muon anomalous magnetic moment $a_\mu=(g_\mu-2)/2$ has to be determined at the per-mille level for the Standard Model prediction to match the expected final uncertainty from the ongoing E989 experiment. This…

高能物理 - 格点 · 物理学 2021-03-17 Mattia Dalla Brida , Leonardo Giusti , Tim Harris , Michele Pepe

The QED trace anomaly is calculated at one-loop level based on the loop regularization method which is realized in 4-dimensional spacetime and preserves gauge symmetry and Poincare symmetry in spite of the introduction of two mass scales,…

高能物理 - 唯象学 · 物理学 2011-08-26 Jian-Wei Cui , Yong-Liang Ma , Yue-Liang Wu

A new evaluation of the hadronic vacuum polarization contribution to the muon magnetic moment is presented. We take into account the reanalysis of the low-energy e+e- annihilation cross section into hadrons by the CMD-2 Collaboration. The…

高能物理 - 唯象学 · 物理学 2008-11-26 M. Davier , S. Eidelman , A. Hocker , Z. Zhang

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 unaffected. Computation of long-distance…

高能物理 - 唯象学 · 物理学 2014-11-17 Andrzej Czarnecki , William J. Marciano , Arkady Vainshtein

We study the ${\text{2HDM}}$ contribution to the muon anomalous magnetic moment $a_\mu$ and present the complete two-loop result, particularly for the bosonic contribution. We focus on the Aligned ${\text{2HDM}}$, which has general Yukawa…

高能物理 - 唯象学 · 物理学 2021-11-09 Adriano Cherchiglia , Patrick Kneschke , Dominik Stöckinger , Hyejung Stöckinger-Kim

We measure the hadronic contribution to the vacuum polarisation tensor, and use it to estimate the hadronic contribution to (g-2)_mu, the muon anomalous magnetic moment.

高能物理 - 格点 · 物理学 2008-11-26 M. Göckeler , R. Horsley , W. Kürzinger , D. Pleiter , P. E. L. Rakow , G. Schierholz

Quantum loops induce an anomaly, a_mu, in the magnetic moment of the muon that can be accurately measured. Its Standard Model prediction is limited in precision by contributions from hadronic vacuum polarisation of the photon. The dominant…

高能物理 - 唯象学 · 物理学 2011-09-20 Andreas Hoecker

The latest measurement of the muon anomalous magnetic moment $a^{}_{\mu} \equiv (g^{}_\mu - 2)/2$ at the Fermi Laboratory has found a $4.2\,\sigma$ discrepancy with the theoretical prediction of the Standard Model (SM). Motivated by this…

高能物理 - 唯象学 · 物理学 2022-02-02 Bingrong Yu , Shun Zhou

We accomplish for the first time the two-loop computation of the leading-twist contribution to the pion electromagnetic form factor by employing the effective field theory formalism rigorously. The next-to-next-to-leading-order…

高能物理 - 唯象学 · 物理学 2024-11-07 Yao Ji , Bo-Xuan Shi , Jian Wang , Ye-Fan Wang , Yu-Ming Wang , Hui-Xin Yu

An automatic system to calculate two loop weak corrections to muon anomalous magnetic moment is discussed. Diagrams are classified into eight types, according to their topology. Adopting Civitanovi\'c-Kinoshita representation of Feynman…

高能物理 - 唯象学 · 物理学 2019-08-15 Toshiaki KANEKO , Nobuya NAKAZAWA