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We give a short description of the present situation of lattice QCD simulations. We then focus on the computation of the anomalous magnetic moment of the muon using lattice techniques. We demonstrate that by employing improved observables…

High Energy Physics - Lattice · Physics 2015-06-03 X. Feng , K. Jansen , M. Petschlies , D. Renner

We describe a new technique (published in Phys. Rev. D89 114501) to determine the contribution to the anomalous magnetic moment of the muon coming from the hadronic vacuum polarisation using lattice QCD. Our method uses Pad\'e approximants…

We present new results for the light-quark connected part of the leading order hadronic-vacuum-polarization (HVP) contribution to the muon anomalous magnetic moment, using $2+1+1$ staggered fermions. We have collected more statistics on…

High Energy Physics - Lattice · Physics 2022-11-23 Christopher Aubin , Thomas Blum , Maarten Golterman , Santiago Peris

We present results for the leading order QCD correction to the anomalous magnetic moment of the muon including the first two generations of quarks as dynamical degrees of freedom. Several light quark masses are examined in order to yield a…

High Energy Physics - Lattice · Physics 2013-11-18 Florian Burger , Xu Feng , Grit Hotzel , Karl Jansen , Marcus Petschlies , Dru B. Renner

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

High Energy Physics - Lattice · Physics 2015-06-17 Christopher Aubin , Thomas Blum , Maarten Golterman , Santiago Peris

I review the status of lattice QCD calculations of the hadronic contributions to the muon's anomalous magnetic moment, focussing on the hadronic vacuum polarisation contribution which dominates the uncertainty of the Standard Model…

High Energy Physics - Phenomenology · Physics 2023-06-21 Hartmut Wittig

A determination of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon from lattice QCD aiming at a precision of $1\%$ requires to include isospin breaking corrections in the computation. We present a…

High Energy Physics - Lattice · Physics 2018-12-27 Vera Gülpers , Andreas Jüttner , Christoph Lehner , Antonin Portelli

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

We present our results for the leading-order hadronic quark-connected contributions to the electron, the muon, and the tau anomalous magnetic moments obtained with four dynamical quarks. Performing the continuum limit and an analysis of…

High Energy Physics - Lattice · Physics 2014-11-06 Florian Burger , Grit Hotzel , Karl Jansen , Marcus Petschlies

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 the electron ($a_e$), muon ($a_\mu$) and…

High Energy Physics - Phenomenology · Physics 2020-02-05 Alexander Keshavarzi , Daisuke Nomura , Thomas Teubner

We compute the leading order hadronic vacuum polarization (LO-HVP) contribution to the anomalous magnetic moment of the muon, $(g_\mu-2)$, using lattice QCD. Calculations are performed with four flavors of 4-stout-improved staggered quarks,…

In calculating hadronic contributions to precision observables for tests of the Standard Model in lattice QCD, the electromagnetic current plays a central role. Using a Wilson action with O($a$) improvement in QCD with $N_{\mathrm{f}}$…

High Energy Physics - Lattice · Physics 2019-02-20 Antoine Gerardin , Tim Harris , Harvey B. Meyer

I provide updates for the theoretical predictions of the muon and electron anomalous magnetic moments, for the shift in the fine structure constant $\alpha(M_Z)$ and for the weak mixing parameter $\sin^2 \Theta_W(M_Z)$. Phenomenological…

High Energy Physics - Phenomenology · Physics 2017-11-17 Fred Jegerlehner

We show that it is possible to improve the chiral behaviour and the approach to the continuum limit of correlation functions in lattice QCD with Wilson fermions by taking arithmetic averages of correlators computed in theories regularized…

High Energy Physics - Lattice · Physics 2009-11-10 R. Frezzotti , G. C. Rossi

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

High Energy Physics - Lattice · Physics 2013-10-30 Christopher Aubin , Thomas Blum , Maarten Golterman , Santiago Peris

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

The hadronic vacuum polarisation contributions to the anomalous magnetic moment of the muon, $a_{\mu}^{\rm had, VP}$ have been re-evaluated from the combination of $e^+e^-\rightarrow {\rm hadrons}$ cross section data. Focus has been placed…

High Energy Physics - Phenomenology · Physics 2018-02-21 Alexander Keshavarzi , Daisuke Nomura , Thomas Teubner

We present a lattice-QCD calculation of the light-quark connected contribution to window observables associated with the leading-order hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon,…

In order to reach a precision of $0.2\%$ on the hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon, $(g-2)_\mu$, such that the full Standard-Model prediction matches in precision the direct…

High Energy Physics - Lattice · Physics 2025-04-14 Julian Parrino , Volodymyr Biloshytskyi , En-Hung Chao , Harvey B. Meyer , Vladimir Pascalutsa

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…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. V. Geshkenbein