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We analyze thermodynamic models for fluid systems in equilibrium based on a virial expansion of the internal energy in terms of the volume density. We prove that the models, formulated for finite-size systems with $N$ particles, are exactly…

Statistical Mechanics · Physics 2026-04-21 Xin An , Francesco Giglio , Giulio Landolfi

The ratios among the leading-order (LO) hadronic vacuum polarization (HVP) contributions to the anomalous magnetic moments of electron, muon and tau-lepton, $a_{\ell=e,\mu \tau}^{HVP,LO}$, are computed using lattice QCD+QED simulations. The…

High Energy Physics - Lattice · Physics 2020-09-16 D. Giusti , S. Simula

The Standard Model prediction of the muon $g-2$ increasingly depends on lattice QCD computations of the hadronic vacuum polarization (HVP), where the isospin-breaking (IB) effects remain a significant source of uncertainty. To complement…

High Energy Physics - Phenomenology · Physics 2026-05-07 Volodymyr Biloshytskyi , Dominik Erb , Harvey B. Meyer , Julian Parrino , Vladimir Pascalutsa

We present a comprehensive analysis of longitudinal particle drifting in a standing circularly polarized wave at extreme intensities when quantum radiation reaction (RR) effects should be accounted for. To get an insight into the physics of…

Plasma Physics · Physics 2017-04-26 A. V. Bashinov , P. Kumar , A. V. Kim

We use chiral perturbation theory to study the extraction of pion electromagnetic polarizabilities from lattice QCD. Chiral extrapolation formulae are derived for partially quenched QCD, and quenched QCD simulations. On a torus, volume…

High Energy Physics - Lattice · Physics 2008-11-26 Jie Hu , Fu-Jiun Jiang , Brian C. Tiburzi

We describe a simplified derivation for the relativistic corrections of order $\alpha^4$ for a bound system consisting of two spinless particles. We devote special attention to pionium, the bound system of two oppositely charged pions. The…

High Energy Physics - Phenomenology · Physics 2009-11-07 U. D. Jentschura , G. Soff , P. J. Indelicato

In muonic bound systems, the dominant radiative correction is due to vacuum polarization. Yet, for the interpretation of precision experiments, self-energy effects are also important. In turn, additional vacuum-polarization loops perturb…

High Energy Physics - Phenomenology · Physics 2024-09-30 B. Ohayon , U. D. Jentschura

We compute finite volume effects relevant for lattice QCD simulations using background fields. Focusing on constant electric and magnetic fields on a periodic lattice, we determine volume corrections to pion two-point functions using chiral…

High Energy Physics - Lattice · Physics 2009-05-18 Brian C. Tiburzi

When aiming at the percent precision in hadronic quantities calculated by means of lattice simulations, isospin breaking effects become relevant. These are of two kinds: up/down mass splitting and electromagnetic corrections. In order to…

High Energy Physics - Lattice · Physics 2017-02-20 Agostino Patella

We compute the leading, strong-interaction contribution to the anomalous magnetic moment of the electron, muon and tau using lattice quantum chromodynamics (QCD) simulations. Calculations include the effects of $u$, $d$, $s$ and $c$ quarks…

The hadronic vacuum polarization contribution to the muon (g-2) value is calculated by considering a known dispersion integral which involves the $R_{e+ e-}(s)$ ratio. The theoretical part stemming from the region below 1.8 GeV is the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Gorazd Cvetic , Taekoon Lee , Ivan Schmidt

The situation of the experimental data used in the dispersive evaluation of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon is assessed in view of two recent measurements: $e^+e^- \to \pi^+\pi^-$…

High Energy Physics - Phenomenology · Physics 2024-07-24 M. Davier , A. Hoecker , A. M. Lutz , B. Malaescu , Z. Zhang

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

Precision calculations of the fine and hyperfine structure of muonic atoms are performed in a relativistic approach and results for muonic 205 Bi, 147 Sm, and 89 Zr are presented. The hyperfine structure due to magnetic dipole and electric…

Atomic Physics · Physics 2017-10-04 Niklas Michel , Natalia S. Oreshkina , Christoph H. Keitel

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

We present an update on the determination of the leading-order hadronic vacuum polarisation contribution to the muon anomalous magnetic moment in isospin-symmetric QCD by the Extended Twisted Mass Collaboration. The calculation is based on…

We provide an overview of the current state of lattice calculations concerning isospin-breaking corrections in weak decays, focusing in particular on leptonic decays of light pseudoscalar mesons. We examine the two currently existing…

High Energy Physics - Lattice · Physics 2024-01-17 Matteo Di Carlo

Recent calculations of the hadronic vacuum polarisation contribution are reviewed. The focus is put on the leading-order contribution to the muon magnetic anomaly involving $e^+e^-$ annihilation cross section data as input to a dispersion…

High Energy Physics - Phenomenology · Physics 2016-06-22 Zhiqing Zhang

In this work, we investigate the magnetic properties of the quantum vacuum in the context of QED. We calculate the quantum relativistic correction of virtual particle--anti-particle pair creation to the field of a classical point-like…

High Energy Physics - Phenomenology · Physics 2026-05-07 T. Azevedo , F. A. Barone , C. Farina , R. de Melo e Souza , G. Zarpelon

We investigate possible finite-volume effects on baryon number susceptibilities of strongly interacting matter. Assuming that a hadronic and a deconfined phase both contribute to the thermodynamic state of a finite system due to…

Nuclear Theory · Physics 2019-01-04 Christian Spieles , Marcus Bleicher , Carsten Greiner
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