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The shift of atomic energy levels due to hadronic vacuum polarization is evaluated in a semiempirical way for hydrogenlike ions and for muonic hydrogen. A parametric hadronic polarization function obtained from experimental cross sections…

Quantum Physics · Physics 2022-10-19 Sören Breidenbach , Eugen Dizer , Halil Cakir , Zoltán Harman

We construct a physically motivated model for the isospin-one non-strange vacuum polarization function Pi(Q^2) based on a spectral function given by vector-channel OPAL data from hadronic tau decays for energies below the tau mass and a…

High Energy Physics - Lattice · Physics 2015-06-17 Maarten Golterman , Kim Maltman , Santiago Peris

We present an exploratory study of the electromagnetic corrections to meson masses and the hadronic vacuum polarization using $N_f=2+1$ Domain Wall fermions. These corrections are estimated with two different approaches, a stochastic…

High Energy Physics - Lattice · Physics 2016-12-20 Peter Boyle , Vera Gülpers , James Harrison , Andreas Jüttner , Antonin Portelli , Christopher Sachrajda

Euclidean time windows in the integral representation of the hadronic vacuum polarization contribution to the muon $g-2$ serve to test the consistency of lattice calculations and may help in tracing the origins of a potential tension…

This talk discusses two analytical calculations relevant for the Standard Model calculation of the muon $g-2$. The first part is the recent derivation of the quark-loop as the first term in a well-defined operator-product expansion for the…

High Energy Physics - Phenomenology · Physics 2019-10-11 Johan Bijnens , Nils Hermansson-Truedsson , Antonio Rodriguez-Sánchez

Higher-order hadronic corrections to the anomalous magnetic moment of the muon have been evaluated including next-to-next-to-leading-order insertions of hadronic vacuum polarization and next-to-leading-order corrections to hadronic…

High Energy Physics - Phenomenology · Physics 2022-03-21 Martin Hoferichter , Thomas Teubner

Two-loop electroweak corrections to the electron, muon, and tau lepton anomalous magnetic moments have been computed recently. Effects of hadronic contributions to the photon propagator in two-loop QED corrections have also been reanalysed.…

High Energy Physics - Phenomenology · Physics 2011-04-15 Andrzej Czarnecki , Bernd Krause

The vacuum polarization tensor and the corresponding vacuum polarization function are the basis for calculations of numerous observables in lattice QCD. Examples are the hadronic contributions to lepton anomalous magnetic moments, the…

High Energy Physics - Lattice · Physics 2015-03-24 Florian Burger , Grit Hotzel , Karl Jansen , Marcus Petschlies

Non-relativisitic second-order corrections to the wave function at origin in muonic and exotic atoms are considered. The corrections are due to the electronic vacuum polarization. Such corrections are of interest due to various effective…

Atomic Physics · Physics 2014-11-04 Vladimir G. Ivanov , Evgeny Yu. Korzinin , Savely G. Karshenboim

We present a new lattice QCD calculation of the leading order hadronic vacuum polarization (LO-HVP) contribution to the muon anomalous magnetic moment $a_\mu$. We reduce uncertainties compared to our earlier computation arXiv:2002.12347 by…

We compute QCD corrections to QED calculations for vacuum polarization in background magnetic fields. Formally, the diagram for virtual $e\bar{e}$ loops is identical to the one for virtual $q\bar{q}$ loops. However due to confinement, or to…

High Energy Physics - Phenomenology · Physics 2010-10-27 P. Castelo Ferreira , J. Dias de Deus

Standard methods for including electromagnetic interactions in lattice quantum chromodynamics calculations result in power-law finite-volume corrections to physical quantities. Removing these by extrapolation requires costly computations at…

High Energy Physics - Lattice · Physics 2016-08-12 Michael G. Endres , Andrea Shindler , Brian C. Tiburzi , Andre Walker-Loud

We present an update on the ongoing calculations by the Fermilab Lattice, HPQCD, and MILC Collaboration of the leading-order (in electromagnetism) hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon. Our…

We present results for the leading hadronic contribution to the muon anomalous magnetic moment due to strange quark-connected vacuum polarisation effects. Simulations were performed using RBC--UKQCD's $N_f=2+1$ domain wall fermion ensembles…

The dispersive approach to quantum chromodynamics is applied to the study of the hadronic vacuum polarization function and associated quantities. This approach merges the intrinsically nonperturbative constraints, which originate in the…

High Energy Physics - Phenomenology · Physics 2015-07-14 A. V. Nesterenko

I provide updates for the theoretical predictions of the muon and electron anomalous magnetic moments, for the shift in the fine structure constant $\alpha(M_Z)$ and for the weak mixing parameter $\sin^2 \Theta_W(M_Z)$. Phenomenological…

High Energy Physics - Phenomenology · Physics 2017-11-17 Fred Jegerlehner

We calculate the pion and kaon electromagnetic form factors in finite volume for a generic momentum transfer in space-like region, using SU(3) chiral perturbation theory. To this end, we first find the hadronic matrix element in a new form…

High Energy Physics - Phenomenology · Physics 2016-04-15 Karim Ghorbani

Nonperturbative QCD corrections are important to many low-energy electroweak observables, for example the muon magnetic moment. However, hadronic corrections also play a significant role at much higher energies due to their impact on the…

High Energy Physics - Lattice · Physics 2012-06-15 Dru B. Renner , Xu Feng , Karl Jansen , Marcus Petschlies

We measure the hadronic contribution to the vacuum polarisation tensor, and use it to estimate the hadronic contribution to (g-2)_mu, the muon anomalous magnetic moment.

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , W. Kürzinger , D. Pleiter , P. E. L. Rakow , G. Schierholz

The leading hadronic contribution to the muon anomalous magnetic moment is given by a weighted euclidean momentum integral of the hadronic vacuum polarization. This integral is dominated by momenta of order the muon mass. Since in lattice…

High Energy Physics - Lattice · Physics 2012-10-30 Christopher Aubin , Thomas Blum , Maarten Golterman , Santiago Peris