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We present results for the QED and strong isospin breaking corrections to the hadronic vacuum polarization using $N_f=2+1$ Domain Wall fermions. QED is included in an electro-quenched setup using two different methods, a stochastic and a…

High Energy Physics - Lattice · Physics 2018-04-18 Peter Boyle , Vera Gülpers , James Harrison , Andreas Jüttner , Christoph Lehner , Antonin Portelli , Christopher Sachrajda

We compute the leading QED corrections to the hadronic vacuum polarization (HVP) of the photon, relevant for the determination of leptonic anomalous magnetic moments, $a_\ell$. We work in the electroquenched approximation and use dynamical…

High Energy Physics - Lattice · Physics 2018-04-18 Andrea Bussone , Michele Della Morte , Tadeusz Janowski

A determination of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon from lattice QCD aiming at a precision of $1\%$ requires to include isospin breaking corrections in the computation. We present a…

High Energy Physics - Lattice · Physics 2018-12-27 Vera Gülpers , Andreas Jüttner , Christoph Lehner , Antonin Portelli

A hadronic vacuum polarization correction to the photon propagator is found by using the Dubnicka-Meshcheryakov parameterization of the pion electromagnetic form factor and new experimental data on the $e^+e^-$ hadrons annihilation cross…

High Energy Physics - Phenomenology · Physics 2021-12-30 V. P. Gerdt , A. Karimkhodzhaev , R. N. Faustov

We calculate the strong isospin breaking and QED corrections to meson masses and the hadronic vacuum polarization in an exploratory study on a $64\times24^3$ lattice with an inverse lattice spacing of $a^{-1}=1.78$ GeV and an isospin…

High Energy Physics - Lattice · Physics 2017-10-25 P. Boyle , V. Gülpers , J. Harrison , A. Jüttner , C. Lehner , A. Portelli , C. T. Sachrajda

We present the determination of the light quark masses using electromagnetic splittings of pions and kaons. The meson masses are calculated on $SU(3)\times U(1)$ gauge configurations, where SU(3) gauge fields include sea quark effects of…

High Energy Physics - Lattice · Physics 2007-05-23 N. Yamada , T. Blum , M. Hayakawa , T. Izubuchi

At the precision reached in current lattice QCD calculations, electromagnetic effects are becoming numerically relevant. We will present preliminary results for electromagnetic corrections to light hadron masses, based on simulations in…

High Energy Physics - Lattice · Physics 2015-03-17 A. Portelli , S. Dürr , Z. Fodor , J. Frison , C. Hoelbling , S. D. Katz , S. Krieg , T. Kurth , L. Lellouch , T. Lippert , K. K. Szabó , A. Ramos

The hadronic vacuum polarization (HVP) corrections to energy levels in muonic atoms are studied systematically across the periodic table. Two nuclear charge distribution models have been considered, with partly analytical solution for an…

Atomic Physics · Physics 2025-09-03 Zoia A. Mandrykina , Moritz Thierfeld , Natalia S. Oreshkina

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

In order to reduce the current hadronic uncertainties in the theory prediction for the anomalous magnetic moment of the muon, lattice calculations need to reach sub-percent accuracy on the hadronic-vacuum-polarization contribution. This…

High Energy Physics - Lattice · Physics 2019-07-31 J. Bijnens , J. Harrison , N. Hermansson-Truedsson , T. Janowski , A. Jüttner , A. Portelli

We present a lattice calculation of the leading-order electromagnetic and strong isospin-breaking corrections to the hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon. We employ the gauge…

High Energy Physics - Lattice · Physics 2019-06-12 D. Giusti , V. Lubicz , G. Martinelli , F. Sanfilippo , S. Simula

We present an update of our lattice QCD study of the vacuum polarization function using O$(a)$-improved $N_ {\rm f} =2$ Wilson fermions with increased statistics and a large set of momenta. The resulting points are highly correlated and…

High Energy Physics - Lattice · Physics 2016-02-15 Michele Della Morte , Gregorio Herdoiza , Hanno Horch , Benjamin Jäger , Harvey Meyer , Hartmut Wittig

We present results for the hadronic running of the electromagnetic coupling and the weak mixing angle from simulations of lattice QCD with $N_f=2+1$ flavours of $O(a)$-improved Wilson fermions. Using two different discretisations of the…

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

Now that Lattice QCD calculations are beginning to include QED, it is important to better understand how hadronic properties are modified by finite-volume QED effects. They are known to exhibit power-law scaling with volume, in contrast to…

High Energy Physics - Lattice · Physics 2014-10-07 Zohreh Davoudi , Martin J. Savage

Isospin-breaking corrections to the hadron vacuum polarization component of the anomalous magnetic moment of the muon are needed to ensure the theoretical precision of $g_\mu -2$ is below the experimental precision. We describe the status…

We compute corrections to the hard thermal (or dense) loop photon polarization tensor associated to a small mass $m$ of the fermions of an electromagnetic plasma at high temperature $T$ (or chemical potential $\mu$). To this aim we use the…

High Energy Physics - Phenomenology · Physics 2021-10-13 Marc Comadran , Cristina Manuel

We present a preliminary lattice calculation of the leading-order electromagnetic and strong isospin-breaking corrections to the Hadronic Vacuum Polarization (HVP) contribution of the light quarks to the anomalous magnetic moment of the…

High Energy Physics - Lattice · Physics 2018-10-16 Davide Giusti , Vittorio Lubicz , Guido Martinelli , Francesco Sanfilippo , Silvano Simula , Cecilia Tarantino

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 variational method, within the Hamiltonian formalism of reformulated QED is used to determine relativistic wave equations for a system of three fermions of arbitrary mass interacting electromagnetically. The interaction kernels of the…

Atomic Physics · Physics 2007-06-21 Mark Barham , Jurij W. Darewych
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