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Related papers: Variations on Photon Vacuum Polarization

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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

We go through several previous corrections and contributions to the muon $g-2$, starting from the dark photon hypothesis to the dark Z. We explore the inputs from a dark Z boson virtual mediator in a first order loop. We consider not only…

High Energy Physics - Phenomenology · Physics 2023-10-24 Jorge Gamboa , Justo López-Sarrión , Fernando Méndez , Natalia Tapia Arellano

The QCD coupling appears in the perturbative expansion of the current-current two-point (vacuum polarization) function. Any lattice calculation of vacuum polarization is plagued by several competing non-perturbative effects at small momenta…

High Energy Physics - Lattice · Physics 2015-10-19 Renwick J. Hudspith , Randy Lewis , Kim Maltman , Eigo Shintani

We report about recent results obtained for the muon anomalous magnetic moment. Three-loop kernel functions have been computed to obtain the next-to-next-to-leading-order hadronic vacuum polarization contributions. The numerical result,…

High Energy Physics - Phenomenology · Physics 2014-07-02 Alexander Kurz , Tao Liu , Peter Marquard , Matthias Steinhauser

Lattice QCD with background magnetic fields is used to calculate the magnetic moments and magnetic polarizabilities of the nucleons and of light nuclei with $A\le4$, along with the cross-section for the $M1$ transition $np\rightarrow…

High Energy Physics - Lattice · Physics 2015-12-16 Emmanuel Chang , William Detmold , Kostas Orginos , Assumpta Parreno , Martin J. Savage , Brian C. Tiburzi , Silas R. Beane

We determine the contribution to the anomalous magnetic moment of the muon from the $\alpha^2_{\mathrm{QED}}$ hadronic vacuum polarization diagram using full lattice QCD and including $u/d$ quarks with physical masses for the first time. We…

High Energy Physics - Lattice · Physics 2017-08-30 Bipasha Chakraborty , C. T. H. Davies , P. G. de Oliviera , J. Koponen , G. P. Lepage , R. van de Water

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…

High Energy Physics - Phenomenology · Physics 2011-09-20 Andreas Hoecker

We compute corrections to both the isovector anomalous magnetic moment and the isovector electromagnetic current of the nucleon to $O(p^3)$ in the framework of covariant two-flavor Baryon Chiral Perturbation Theory. We then apply these…

High Energy Physics - Phenomenology · Physics 2015-06-03 Ludwig Greil , Thomas R. Hemmert , Andreas Schäfer

The weak dipole moments of leptons and quarks, \ie those related to their $Z$--coupling, are reviewed. Standard Model predictions and experimental results may result in a stringent test for both their pointlike structure and also for the…

High Energy Physics - Phenomenology · Physics 2016-08-15 J. Bernabéu , G. A. González-Sprinberg , J. Vidal

We propose a simple parameterization of the two-point correlator of hadronic electromagnetic currents for the evaluation of the hadronic contributions to the muon anomalous magnetic moment. The parameterization is explicitly done in the…

High Energy Physics - Phenomenology · Physics 2011-09-13 S. Groote , J. G. Körner , A. A. Pivovarov

We present a reliable nonperturbative calculation of the QCD correction, at leading order in the electromagnetic coupling, to the anomalous magnetic moment of the electron, muon, and tau leptons using two-flavor lattice QCD. We use multiple…

High Energy Physics - Lattice · Physics 2013-05-29 Xu Feng , Marcus Petschlies , Karl Jansen , Dru B. Renner

Precision calculations of the fine and hyperfine structure of muonic atoms are performed in a relativistic approach and results for muonic 205 Bi, 147 Sm, and 89 Zr are presented. The hyperfine structure due to magnetic dipole and electric…

Atomic Physics · Physics 2017-10-04 Niklas Michel , Natalia S. Oreshkina , Christoph H. Keitel

We investigate constraints on the time variation of the fine structure constant between the recombination epoch and the present epoch, \Delta\alpha/\alpha \equiv (\alpha_{rec} - \alpha_{now})/\alpha_{now}, from cosmic microwave background…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Masahiro Nakashima , Kazuhide Ichikawa , Ryo Nagata , Jun'ichi Yokoyama

We calculate the contribution to the muon anomalous magnetic moment hadronic vacuum polarization from {the} connected diagrams of up and down quarks, omitting electromagnetism. We employ QCD gauge-field configurations with dynamical $u$,…

The leading hadronic contribution to the muon anomalous magnetic moment is given by a weighted integral over euclidean momentum of the hadronic vacuum polarization. This integral is dominated by momenta of order the muon mass. Since the…

High Energy Physics - Lattice · Physics 2013-05-30 Christopher Aubin , Thomas Blum , Maarten Golterman , Santiago Peris

Astrophysical indications that the fine structure constant has undergone a small time variation during the cosmological evolution are discussed within the framework of the standard model of the electroweak and strong interactions and of…

High Energy Physics - Phenomenology · Physics 2009-11-07 H. Fritzsch

The decreasing uncertainties in theoretical predictions and experimental measurements of several hadronic observables related to weak processes, which in many cases are now smaller than $\mathrm{O}(1\%)$, require theoretical calculations to…

Lattice QCD (LQCD) studies for the hadron vacuum polarization (HVP) and its contribution to the muon anomalous magnetic moment (muon g-2) are reviewed. There currently exists more than 3-sigma deviations in the muon g-2 between the BNL…

High Energy Physics - Lattice · Physics 2019-06-05 Kohtaroh Miura

In order to reduce the current hadronic uncertainties in the theory prediction for the anomalous magnetic moment of the muon, lattice calculations need to reach sub-percent accuracy on the hadronic-vacuum-polarization contribution. This…

High Energy Physics - Lattice · Physics 2019-07-31 J. Bijnens , J. Harrison , N. Hermansson-Truedsson , T. Janowski , A. Jüttner , A. Portelli

The anomalous magnetic moment of a lepton encodes the fraction of the lepton's interaction strength with an external magnetic field, which is generated by quantum corrections. Lepton anomalous magnetic moments are sensitive probes of…

High Energy Physics - Phenomenology · Physics 2026-05-05 Hartmut Wittig