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The current measurement of muonic $g - 2$ disagrees with the theoretical calculation by about 3 standard deviations. Hadronic vacuum polarization (HVP) and hadronic light by light (HLbL) are the two types of processes that contribute most…

High Energy Physics - Lattice · Physics 2015-11-18 Luchang Jin , Thomas Blum , Norman Christ , Masashi Hayakawa , Taku Izubuchi , Christoph Lehner

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…

High Energy Physics - Phenomenology · Physics 2018-07-16 Alexander Keshavarzi , Daisuke Nomura , Thomas Teubner

We review some of the issues that arise in attempts to compute the hadronic corrections to the muon anomalous magnetic moment using Lattice QCD. We concentrate on the dominant contribution, which requires an accurate evaluation of the…

High Energy Physics - Lattice · Physics 2015-06-18 Christopher Aubin , Thomas Blum , Maarten Golterman , Kim Maltman , Santiago Peris

For twenty years, a persistent discrepancy between experimental measurements and theoretical calculations of the muon anomalous magnetic moment have provided tantalising hints of new physics. In recent years, improvements to the…

The leading-order hadronic vacuum polarization contribution to the hyperfine splitting of true muonium is reevaluated in two ways. The first considers a more complex pionic form factor and better estimates of the perturbative QCD…

Atomic Physics · Physics 2017-02-01 Henry Lamm

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.

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , W. Kürzinger , D. Pleiter , P. E. L. Rakow , G. Schierholz

We describe a lattice approach to calculating the leading-order hadronic contribution to the anomalous magnetic moment of the muon. We employ lattice momentum derivatives, in both the spatial and temporal directions, to determine the…

High Energy Physics - Lattice · Physics 2015-12-02 Eric B. Gregory , Craig McNeile

The vacuum polarization tensor and the corresponding vacuum polarization function are the basis for calculations of numerous observables in lattice QCD. Examples are the hadronic contributions to lepton anomalous magnetic moments, the…

High Energy Physics - Lattice · Physics 2015-03-24 Florian Burger , Grit Hotzel , Karl Jansen , Marcus Petschlies

We report on our computation of the leading hadronic contribution to the anomalous magnetic moment of the muon using two dynamical flavours of non-perturbatively O(a) improved Wilson fermions. The strange quark is introduced in the quenched…

High Energy Physics - Lattice · Physics 2015-06-03 Michele Della Morte , Benjamin Jäger , Andreas Jüttner , Hartmut Wittig

We use recently evaluated radiative and nonperturbative corrections to production of heavy quarks by a vector current to give very precise theoretical calculations of the high energy ($t^{1/2}\geq \sqrt{2}$ GeV) imaginary part of the photon…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Adel , F. J. Ynduráin

I present a status report of the hadronic vacuum polarization effects for the muon $g-2$, to be considered as an update of [1]. The update concerns recent new inclusive $R$ measurements from KEDR in the energy range 1.84 to 3.72 GeV. For…

High Energy Physics - Phenomenology · Physics 2018-02-14 Fred Jegerlehner

The muon $g-2$ is a compelling quantity due to the current standing tensions among the experimental average, data-driven theoretical results, and lattice results. Matching the final target accuracy of the experiments at Fermilab and J-PARC…

High Energy Physics - Lattice · Physics 2022-12-21 Sofie Martins , Agostino Patella

By employing the RM123 approach to QCD+QED, we computed the valence quark-connected isospin-breaking corrections to the light, strange and charm contributions at leading order in $\alpha_{\mathrm{em}}$ and $\left(\mu_d-\mu_u\right) /…

Recent lattice determinations of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment $a_{\mu}^{\rm HVP}$ have confirmed the discrepancy with the data-driven dispersive method. In the meanwhile the CMD-3…

High Energy Physics - Phenomenology · Physics 2024-01-17 Luc Darmé , Giovanni Grilli di Cortona , Enrico Nardi

We study the potential impact on the electroweak (EW) fits due to the tensions between the current determinations of the hadronic vacuum polarisation (HVP) contributions to the anomalous magnetic moment of the muon ($a_\mu$), based on…

High Energy Physics - Phenomenology · Physics 2021-02-03 Bogdan Malaescu , Matthias Schott

Point-to-point vacuum correlation functions for spatially separated hadron currents are calculated in quenched lattice QCD on a $16^3\times 24$ lattice with $6/g^2=5.7$. The lattice data are analyzed in terms of dispersion relations, which…

High Energy Physics - Lattice · Physics 2008-11-26 M. -C. Chu , J. M. Grandy , S. Huang , J. W. Negele

Puzzles in the determination of the hadronic-vacuum-polarization contribution currently impede a conclusive interpretation of the precision measurement of the anomalous magnetic moment of the muon at the Fermilab experiment. One such puzzle…

Isospin-breaking corrections to the hadron vacuum polarization component of the anomalous magnetic moment of the muon are needed to ensure the theoretical precision of $g_\mu -2$ is below the experimental precision. We describe the status…

The separation of the hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment into Euclidean windows allows for a tailored approach to address the different dominant challenges at short, intermediate, and long…

High Energy Physics - Lattice · Physics 2024-10-23 Sebastian Spiegel , Christoph Lehner

The QED hadronic vacuum polarization function plays an important role in the determination of precision electroweak observables and of the anomalous magnetic moment of the muon. These contributions have been computed from data, by means of…

High Energy Physics - Phenomenology · Physics 2023-11-14 Nina M. Coyle , Carlos E. M. Wagner