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We summarize recent developments in the Standard-Model evaluation of the anomalous magnetic moment of the muon $a_\mu$, both in the hadronic-light-by-light and hadronic-vacuum-polarization contributions. The current situation for the latter…

高能物理 - 唯象学 · 物理学 2023-08-09 Gilberto Colangelo , Martin Hoferichter , Peter Stoffer

We present a lattice calculation of the leading-order electromagnetic and strong isospin-breaking corrections to the hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon. We employ the gauge…

高能物理 - 格点 · 物理学 2019-06-12 D. Giusti , V. Lubicz , G. Martinelli , F. Sanfilippo , S. Simula

Using optical theorem within sophisticated fits for exclusive hadronic productions in $e^+e^-$ collisions the interference between leptonic and hadronic vacuum polarization functions is considered and applied for calculation of $\mu-$pair…

高能物理 - 唯象学 · 物理学 2021-05-26 Vladimir Sauli

We present a preliminary lattice calculation of the leading-order electromagnetic and strong isospin-breaking corrections to the Hadronic Vacuum Polarization (HVP) contribution of the light quarks to the anomalous magnetic moment of the…

The contribution of hadronic vacuum polarization to the hyperfine splitting of the muonic hydrogen ground state is calculated with the account of experimental data on the cross section of e^+e^-\to annihilation into hadrons and the dipole…

高能物理 - 唯象学 · 物理学 2008-02-03 R. N. Faustov , A. P. Martynenko

We present the first lattice QCD calculation of the next-to-leading order hadronic vacuum polarization contribution to the muon anomalous magnetic moment with sub-percent precision. We employ the time-momentum representation for the…

高能物理 - 格点 · 物理学 2026-04-13 Arnau Beltran , Alessandro Conigli , Simon Kuberski , Harvey B. Meyer , Konstantin Ottnad , Hartmut Wittig

I present a method for evaluating the hadronic vacuum polarization contribution below 1 GeV to a_\mu which relies on analyticity, unitarity and chiral symmetry, as well as on data. The main advantage is that in the region just above…

高能物理 - 唯象学 · 物理学 2009-11-10 Gilberto Colangelo

Low-energy spectrum relevant to the lattice calculation of hadronic vacuum polarization contribution to muon anomalous magnetic moment a_\mu is dominantly given by two-pion states satisfying L\"uscher's finite-volume quantization condition.…

高能物理 - 格点 · 物理学 2025-04-14 Sakura Itatani , Hidenori Fukaya , Shoji Hashimoto

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

Windows in Euclidean time have become a standard tool for comparing lattice QCD and data-driven computations of the hadronic vacuum polarization (HVP) contribution to the muon $g-2$. Here we review our results, obtained using…

高能物理 - 唯象学 · 物理学 2023-12-29 Pere Masjuan , Alejandro Miranda , Pablo Roig

As several lattice collaborations agree on the result for the window quantity of the hadronic vacuum polarization (HVP) contribution to $(g-2)_\mu$, whilst being in tension with the calculation using the dispersive approach, further effort…

高能物理 - 格点 · 物理学 2023-12-01 En-Hung Chao , Harvey B. Meyer , Julian Parrino

It is shown that with a precise determination of a few derivatives of the hadronic vacuum polarization (HVP) self-energy function $\Pi(Q^2)$ at $Q^2=0$, from lattice QCD (LQCD) or from a dedicated low-energy experiment, one can obtain an…

高能物理 - 唯象学 · 物理学 2018-05-16 Jérôme Charles , David Greynat , Eduardo de Rafael

We present a lattice calculation of the Hadronic Vacuum Polarization (HVP) contribution to the anomalous magnetic moments of the electron, $a_e^{\rm HVP}$, the muon, $a_\mu^{\rm HVP}$, and the tau, $a_\tau^{\rm HVP}$, including both the…

高能物理 - 格点 · 物理学 2019-10-10 D. Giusti , S. Simula

An analytic expression is derived for the leading finite-volume effects arising in lattice QCD calculations of the hadronic-vacuum-polarization contribution to the muon's magnetic moment, $a_\mu^{\text{HVP,LO}} \equiv…

高能物理 - 格点 · 物理学 2020-04-09 Maxwell T. Hansen , Agostino Patella

We present a first-principles lattice QCD+QED calculation at physical pion mass of the leading-order hadronic vacuum polarization contribution to the muon anomalous magnetic moment. The total contribution of up, down, strange, and charm…

高能物理 - 格点 · 物理学 2018-07-18 T. Blum , P. A. Boyle , V. Gülpers , T. Izubuchi , L. Jin , C. Jung , A. Jüttner , C. Lehner , A. Portelli , J. T. Tsang

We present the first lattice QCD calculation of the next-to-leading order (NLO) hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment with sub-percent precision. We employ the time-momentum representation…

高能物理 - 格点 · 物理学 2026-04-10 Arnau Beltran , Alessandro Conigli , Simon Kuberski , Harvey B. Meyer , Konstantin Ottnad , Hartmut Wittig

We present and test a new method to compute the hadronic vacuum polarization function in lattice simulations. This can then be used, e.g., to determine the leading hadronic contribution to the anomalous magnetic moment of the muon. The…

高能物理 - 格点 · 物理学 2015-09-30 Gunnar Bali , Gergely Endrodi

The equivalent representations for the hadronic vacuum polarization contributions to the muon anomalous magnetic moment $a^{\text{HVP}}_{\mu}$ in the presence of the quark flavour thresholds are studied. Specifically, the explicit relations…

高能物理 - 唯象学 · 物理学 2023-12-11 A. V. Nesterenko

With the recent interest in the measured and standard model values of the muon anomalous magnetic moment, a_mu, some confusion has arisen concerning our knowledge of the hadronic contribution to a_mu. In the dispersion integral approach to…

高能物理 - 唯象学 · 物理学 2007-05-23 William J. Marciano , B. Lee Roberts

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