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The second-order differential equation for the Uehling potential is derived explicitly. The right side of this differential equation is a linear combination of the two Macdonald's functions $K_{0}(b r)$ and $K_{1}(b r)$. This central…

Quantum Physics · Physics 2024-03-05 Alexei M. Frolov

For an accurate theoretical description of muonic bound systems, it is crucial to consistently treat relativistic and recoil corrections to vacuum polarization. The one-loop vacuum-polarization effect is by far the dominant quantum…

High Energy Physics - Phenomenology · Physics 2024-09-26 Gregory S. Adkins , Ulrich D. Jentschura

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 evaluate the leading-order hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon with two light flavors in minimal hard-wall and soft-wall holographic QCD models, as well as in simple generalizations…

High Energy Physics - Phenomenology · Physics 2022-06-08 Josef Leutgeb , Anton Rebhan , Michael Stadlbauer

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

The quadratic Zeeman effect is calculated for the ground $^2P_{1/2}$ state of light boron-like ions in the range of nuclear-charge numbers $Z = 10-24$. The calculations are performed in the Furry picture using three models for the…

Atomic Physics · Physics 2026-05-11 V. A. Agababaev , A. V. Volotka , D. A. Glazov , A. V. Malyshev , M. M. Osiptsov , V. M. Shabaev

I consider the so-called nuclear polarization correction to the 1S-levels in light to intermediate muonic atoms. An easy to use recipe to compute it is given. The calculation includes the effect of the nucleon polarization, i.e. the…

Nuclear Theory · Physics 2026-01-07 Mikhail Gorchtein

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

We present the systematic QED treatment of the electron correlation effects on the $g$ factor of lithiumlike ions for the wide range of nuclear charge number $Z= 14$ -- $82$. The one- and two-photon exchange corrections are evaluated…

Atomic Physics · Physics 2023-05-09 D. V. Zinenko , D. A. Glazov , V. P. Kosheleva , A. V. Volotka , S. Fritzsche

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

A new evaluation of the hadronic vacuum polarization contribution to the muon magnetic moment is presented. We take into account the reanalysis of the low-energy e+e- annihilation cross section into hadrons by the CMD-2 Collaboration. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Davier , S. Eidelman , A. Hocker , Z. Zhang

In the recent Muon g-2 Theory Initiative white paper update, the hadronic vacuum polarization (HVP) contribution -- which dominates the theoretical uncertainty -- is evaluated as an average of different lattice QCD calculations. Since…

High Energy Physics - Lattice · Physics 2026-03-02 Mattia Bruno , Vera Gülpers , Nils Hermansson-Truedsson , Christoph Lehner , Julian Parrino , J. Tobias Tsang

In heavy atoms and ions, nuclear structure effects are significantly enhanced due to the overlap of the electron wave functions with the nucleus. This overlap rapidly increases with the nuclear charge $Z$. We study the energy level shifts…

Atomic Physics · Physics 2021-03-17 V. V. Flambaum , I. B. Samsonov , H. B. Tran Tan , A. V. Viatkina

In this paper, we study the processes of $e^{+}e^{-}$ annihilation into two body final states, either two pseudoscalar mesons or one meson with a photon. The hadronic vacuum polarization form factors are calculated within the framework of…

High Energy Physics - Phenomenology · Physics 2023-07-26 Shi-Jia Wang , Zhen Fang , Ling-Yun Dai

The associate production of Higgs bosons with W or Z bosons, known as Higgs-strahlung, is an important search channel for Higgs bosons at the hadron colliders Tevatron and LHC for low Higgs-boson masses. We refine a previous calculation of…

High Energy Physics - Phenomenology · Physics 2015-06-03 A. Denner , S. Dittmaier , S. Kallweit , A. Mück

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

QED radiative corrections to elastic electron-proton scattering at low energies are discussed. Corrections to the electron line and effects due to vacuum polarization are computed. Higher order effects are estimated for the conditions of…

High Energy Physics - Phenomenology · Physics 2017-08-11 A. B. Arbuzov , T. V. Kopylova

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…

High Energy Physics - Lattice · Physics 2023-12-01 En-Hung Chao , Harvey B. Meyer , Julian Parrino

We derive a closed, model independent, expression for the electromagnetic correction factor to a phenomenological hadronic scattering length extracted from a hydrogenic atom. It is obtained in a non-relativistic approach and in the limit of…

High Energy Physics - Phenomenology · Physics 2009-11-10 T. E. O. Ericson , B. Loiseau , S. Wycech

We present the first genuine QCD five-loop calculation of the vacuum polarization functions: analytical terms of order alpha_s^4 n_f^2 to the absorptive parts of vector and scalar correlators. These corrections form an important…

High Energy Physics - Phenomenology · Physics 2009-11-07 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn
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