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Related papers: Hadronic Vacuum Polarization and the Lamb Shift

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Precision spectroscopy of the hydrogen molecule is a test ground of quantum electrodynamics (QED), and may serve for determination of fundamental constants. Using a comb-locked cavity ring-down spectrometer, for the first time, we observed…

Atomic Physics · Physics 2018-04-18 L. -G. Tao , A. -W. Liu , K. Pachucki , J. Komasa , Y. R. Sun , J. Wang , S. -M. Hu

The results and main steps of an analytic calculation of radiative-recoil corrections of order $\alpha(Z\alpha)^5(m/M)m$ to the Lamb shift in hydrogen are presented. The calculations are performed in the infrared safe Yennie gauge. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

Lattice QCD calculations of the hadronic vacuum polarization (HVP) have reached a precision where the electromagnetic (e.m.) correction can no longer be neglected. This correction is both computationally challenging and hard to validate, as…

The correction to the hydrogen-deuterium isotope shift due to the proton and deuteron polarizability is evaluated on the basis of modern experimental data on the structure functions of inelastic lepton-nucleus scattering. The numerical…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. N. Faustov , A. P. Martynenko

We present results of calculations of the hadronic vacuum polarisation contribution to the muon anomalous magnetic moment. Specifically, we focus on controlling the infrared regime of the vacuum polarisation function. Our results are…

High Energy Physics - Lattice · Physics 2018-04-18 M. Della Morte , A. Francis , A. Gérardin , V. Gülpers , G. Herdoiza , G. von Hippel , H. Horch , B. Jäger , H. B. Meyer , A. Nyffeler , H. Wittig

We determine the third Zemach moment of hydrogen (<r^3>_(2)) using only the world data on elastic electron-proton scattering. This moment dominates the O (Z alpha)^5 hadronic correction to the Lamb shift in muonic atoms. The resulting…

Nuclear Theory · Physics 2009-11-11 J. L. Friar , I. Sick

Based on the precision experimental data of energy-level differences in hydrogenlike atoms, especially the 1S-2S transition of hydrogen and deuterium, the necessity of establishing a reduced Dirac equation (RDE) with reduced mass as the…

Quantum Physics · Physics 2010-07-20 Guang-jiong Ni , Jianjun Xu , Senyue Lou

At low energies hadronic vacuum polarization (HVP) is strongly dominated by two-pion intermediate states, which are responsible for about $70\%$ of the HVP contribution to the anomalous magnetic moment of the muon, $a_\mu^\text{HVP}$.…

High Energy Physics - Phenomenology · Physics 2021-01-20 Gilberto Colangelo , Martin Hoferichter , Peter Stoffer

New unification theories predict Large Extra Dimensions (LEDs). If that is the case, gravity would be stronger at short ranges than what Newtonian gravity predicts. LEDs could also have effects at atomic level. In this paper we propose a…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Li zhigang , Wei-Tou Ni , Antonio Pulido Paton

We present calculations of the one-loop vacuum polarization correction (Uehling potential) for the three-body problem in the NRQED formalism. The case of one-electron molecular systems is considered. Numerical results of the vacuum…

Atomic Physics · Physics 2017-05-03 J. -Ph. Karr , L Hilico , Vladimir Korobov

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

Effects of vacuum polarization by hadronic and heavy-fermion insertions were the last unknown two-loop QED corrections to high-energy Bhabha scattering and have been first announced in \cite{Actis:2007fs}. Here we describe the corrections…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stefano Actis , Michal Czakon , Janusz Gluza , Tord Riemann

Hadronic vacuum polarization at low virtualities limits the precision of experimental tests of the standard model via important physical observables. Here we compute that effect in two-flavor chiral perturbation theory to three loops. Among…

High Energy Physics - Phenomenology · Physics 2026-03-02 Laurent Lellouch , Alessandro Lupo , Mattias Sjö , Kálmán Szabo , Pierre Vanhove

The saturated absorption spectrum of the hyperfine-less S(0) quadrupole line in the (2-0) band of H$_2$ is measured at $\lambda=1189$ nm, using the NICE-OHMS technique under cryogenic conditions (72~K). It is for the first time that a Lamb…

Atomic Physics · Physics 2023-04-03 F. M. J. Cozijn , M. L. Diouf , W. Ubachs

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 together…

High Energy Physics - Phenomenology · Physics 2020-03-19 M. Davier , A. Hoecker , B. Malaescu , Z. Zhang

The change of the transverse spin asymmetry in the scattering of highly-relativistic spin-polarized electrons from nuclei by vacuum polarization effects is calculated within the Uehling approximation. Results are provided for 1 - 100 MeV…

Atomic Physics · Physics 2014-07-28 D. H. Jakubassa-Amundsen

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…

High Energy Physics - Phenomenology · Physics 2009-11-10 Gilberto Colangelo

In this paper we endeavour to determine the energy levels of an atom by virtue of the modified Dirac equation. It has been found that the energy levels contain an extra term in the expression which accounts for the {\it zitterbewegung}…

General Physics · Physics 2017-05-05 A. Das , B. G. Sidharth

The analytic result for the radiative correction of order $\alpha^{2}(Z\alpha)^{5}m$ to the Lamb shift connected with a polarization insertion in one of the two external Coulomb lines is obtained. This correction arises from a gauge…

High Energy Physics - Phenomenology · Physics 2009-08-25 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

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