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Related papers: Hadronic Vacuum Polarization in True Muonium

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We have reevaluated the hadronic contribution to the anomalous magnetic moment of the muon (g-2) and to the running of the QED fine structure constant alpha(s) at s=M_Z**2. We incorporated new data from hadronic tau decays, recently…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alemany , M. Davier , A. Hocker

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…

High Energy Physics - Lattice · Physics 2015-09-30 Gunnar Bali , Gergely Endrodi

We compare the isospin-one, vector-current hadronic vacuum polarization (HVP) obtained from isospin-symmetric lattice QCD with that obtained from a dispersive representation employing inclusive hadronic $\tau$ decay data corrected for…

High Energy Physics - Phenomenology · Physics 2026-05-13 Noah Allen , Diogo Boito , Maarten Golterman , Kim Maltman , Lucas M. Mansur , Santiago Peris

We computed the hadronic vacuum-polarization contributions to the muon anomalous magnetic moment $a_{\mu}(hadr.)$ by using the QCD model with infinite number of vector mesons [1,2]. The result is $a_{\mu}(hadr.) = 663(23) \times 10^{-10}$.…

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

We present an updated determination of the hadronic vacuum polarization contribution to the running of the electromagnetic coupling $\Delta\alpha_{\mathrm{had}}^{(5)}(-Q^2)$, and of the electroweak mixing angle in the space-like momentum…

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 two-photon-annihilation contribution to the true muonium hyperfine splitting arising from $e$ and $\tau$ loops is obtained analytically at order $m_\mu\alpha^6$. The contribution to the hyperfine splitting is $-2.031092873…

Atomic Physics · Physics 2016-09-09 Yao Ji , Henry Lamm

The persistent discrepancy of about 3.5 standard deviations between the experimental measurement and the Standard Model prediction for the muon anomalous magnetic moment, $a_\mu$, is one of the most promising hints for the possible…

High Energy Physics - Lattice · Physics 2020-05-20 H. Wittig , A. Gérardin , Marco Cè , G. von Hippel , B. Hörz , H. B. Meyer , K. Miura , D. Mohler , K. Ottnad , A. Risch , T. San José , J. Wilhelm

A method for precise calculation of the energy corrections due to second order electric quadrupole interactions, as well as mixed electric quadrupole-vacuum polarization in the framework of the dynamic hyperfine structure in heavy muonic…

Atomic Physics · Physics 2019-04-10 Niklas Michel , Natalia S. Oreshkina

The recoil, vacuum polarization and electron vertex corrections of first and second orders in the fine structure constant $\alpha$ and the ratio of electron to muon and electron to \alpha-particle masses are calculated in the hyperfine…

High Energy Physics - Phenomenology · Physics 2013-05-30 A. A. Krutov , A. P. Martynenko

We reevaluate the hadronic vacuum polarisation contributions to the muon magnetic anomaly and to the running of the electromagnetic coupling constant at the Z-boson mass. We include newest e+e- to hadrons cross-section data (among others)…

High Energy Physics - Phenomenology · Physics 2019-05-10 Michel Davier , Andreas Hoecker , Bogdan Malaescu , Zhiqing Zhang

We present results for the short-distance window observable of the hadronic vacuum polarization contribution to the muon $g-2$, computed via the time-momentum representation (TMR) in lattice QCD. A key novelty of our calculation is the…

High Energy Physics - Lattice · Physics 2024-01-23 Simon Kuberski , Marco Cè , Georg von Hippel , Harvey B. Meyer , Konstantin Ottnad , Andreas Risch , Hartmut Wittig

The past five years have brought significant new results on the muon magnetic anomaly, $a_\mu = (g_\mu - 2)/2$, and on the hadronic vacuum polarization (HVP) contribution dominating the uncertainty $\Delta a_\mu$. Serious tension has…

High Energy Physics - Phenomenology · Physics 2025-12-03 Dinko Pocanic

The efforts to improve on the precision of the measurement and theoretical prediction of the anomalous magnetic moment of the muon a_mu have turned into a test of our understanding of the hadronic contribution to vacuum polarisation. I…

High Energy Physics - Experiment · Physics 2022-03-02 Denis Bernard

The $n=2$ and $n=3$ levels for muonic Helium are calculated using a potential that includes all one-loop and recoil effects. Electronic vacuum polarization corrections are calculated using an extension of Kinoshita and Nio method. For…

High Energy Physics - Phenomenology · Physics 2020-04-08 Wayne W. Repko , Stanley F. Radford , Duane A. Dicus

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…

High Energy Physics - Lattice · Physics 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 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

We present the first four-flavour lattice calculation of the leading-order hadronic vacuum-polarisation contribution to the anomalous magnetic moment of the muon, a_{\mu}^{hvp}, and the hadronic running of the QED coupling constant, \Delta…

High Energy Physics - Lattice · Physics 2012-12-24 Xu Feng , Grit Hotzel , Karl Jansen , Marcus Petschlies , Dru B. Renner

The hadronic vacuum polarization correction to the $g$ factor of a bound electron is investigated theoretically. An effective hadronic Uehling potential obtained from measured cross sections of $e^- e^+$ annihilation into hadrons is…

High Energy Physics - Phenomenology · Physics 2023-11-28 Eugen Dizer , Zoltán Harman

The hadronic vacuum polarization contribution to the anomalous magnetic moment of a lepton is considered as a function of the lepton mass. We show how the analyticity properties of this function allow for its full reconstruction when it is…

High Energy Physics - Phenomenology · Physics 2024-06-04 David Greynat , Eduardo de Rafael