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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

In order to reach (sub-)per cent level precision in lattice calculations of the hadronic vacuum polarisation, isospin breaking corrections must be included. This requires introducing QED on the lattice, and the associated finite-size…

High Energy Physics - Lattice · Physics 2019-10-09 Nils Hermansson-Truedsson , Johan Bijnens , James Harrison , Tadeusz Janowski , Andreas Jüttner , Antonin Portelli

We use the infinite volume reconstruction method to calculate the charged/neutral pion mass difference. The hadronic tensor is calculated on lattice QCD and then combined with an analytic photon propagator, and the mass splitting is…

High Energy Physics - Lattice · Physics 2022-02-23 Xu Feng , Luchang Jin , Michael Joseph Riberdy

We propose a factorized approach to QED radiative corrections for inclusive and semi-inclusive deep-inelastic scattering to systematically account for QED and QCD radiation contributions to both processes on equal footing. This is achieved…

High Energy Physics - Phenomenology · Physics 2021-12-01 Tianbo Liu , W. Melnitchouk , Jian-Wei Qiu , N. Sato

We examine the accuracy of an intrinsically one-dimensional quantum electrodynamics to predict accurately the forces and charges of a three-dimensional system that has a high degree of symmetry and therefore depends effectively only on a…

Atomic Physics · Physics 2015-12-09 Q. Z. Lv , N. D. Christensen , Q. Su , R. Grobe

Using spectral function of photon we find the reliable results for the effects of vacuum polarization for the dressed fermion propagator in three-dimensional QED.

High Energy Physics - Theory · Physics 2007-05-23 Yuichi Hoshino

We have obtained propagators in the position space as an expansion over Landau levels for the charged scalar particle, fermion, and massive vector boson in a constant external magnetic field. The summation terms in the resulting expressions…

High Energy Physics - Theory · Physics 2022-03-23 S. N. Iablokov , A. V. Kuznetsov

After a brief self-contained introduction to the muon anomalous magnetic moment, (g-2), we review the status of lattice calculations of the hadronic vacuum polarization contribution and present first results from lattice QCD for the…

High Energy Physics - Lattice · Physics 2013-01-15 T. Blum , M. Hayakawa , T. Izubuchi

Polarizabilities reveal valuable information on the internal structure of hadrons in terms of charge and current distributions. For neutral hadrons, the standard approach is the background field method. But for a charged hadron, its…

High Energy Physics - Lattice · Physics 2023-08-02 Frank X. Lee , Andrei Alexandru , Chris Culver , Walter Wilcox

We present a method to couple finite-volume QCD to infinite-volume QED by an appropriate twist-averaging procedure. We demonstrate the prescription numerically for the leading-order hadronic contribution to the anomalous magnetic moment of…

High Energy Physics - Lattice · Physics 2015-03-17 Christoph Lehner , Taku Izubuchi

Recently, we have introduced a unified theory to deal with perturbative and non-perturbative QCD contributions to hadronic structure functions in deep inelastic scattering. This formulation is realized by combining the coordinate space…

High Energy Physics - Phenomenology · Physics 2016-08-25 A. Harindranath , Rajen Kundu , Wei-Min Zhang

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 our calculation of the isospin-violating part of the hadronic vacuum polarisation (HVP) contribution to muon $(g-2)$ in lattice QCD at the $SU(3)_{\mathrm{f}}$ symmetric point. The computation of the contributing fully connected…

High Energy Physics - Lattice · Physics 2025-01-08 Dominik Erb , Antoine Gerardin , Harvey B. Meyer , Julian Parrino , Vladimir Pascalutsa , Volodymyr Biloshytskyi

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 discuss the calculation of the leading hadronic vacuum polarization in lattice QCD. Exploiting the excellent quality of the compiled experimental data for the e^+e^- --> hadrons cross-section, we predict the outcome of large-volume…

High Energy Physics - Lattice · Physics 2015-05-28 David Bernecker , Harvey B. Meyer

The long-range electromagnetic interaction presents a challenge for numerical computations in QCD + QED. In addition to power-law finite volume effects, the standard lattice gauge theory approach introduces non-locality through removal of…

High Energy Physics - Lattice · Physics 2016-02-17 Jong-Wan Lee , Brian C. Tiburzi

A coordinate-space representation for a charged scalar particle propagator in a constant magnetic field was obtained as a series over the Landau levels. Using the recently developed modified Fock-Schwinger method, an intermediate expression…

High Energy Physics - Theory · Physics 2021-02-03 S. N. Iablokov , A. V. Kuznetsov

The numerical computations of many quantities of theoretical and phenomenological interest are plagued by statistical errors which increase exponentially with the distance of the sources in the relevant correlators. Notable examples are…

High Energy Physics - Lattice · Physics 2018-04-18 Leonardo Giusti , Marco Cè , Stefan Schaefer

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

The current precision reached by lattice QCD calculations of low-energy hadronic observables, requires not only the introduction of electromagnetic corrections, but also control over all the potential systematic uncertainties introduced by…

High Energy Physics - Lattice · Physics 2022-01-11 M. A. Clark , M. Della Morte , Z. Hall , B. Hörz , A. Nicholson , A. Shindler , J. T. Tsang , A. Walker-Loud , H. Yan