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We briefly review several activities at Mainz related to hadronic light-by-light scattering (HLbL) using lattice QCD. First we present a position-space approach to the HLbL contribution in the muon g-2, where we focus on exploratory studies…

We study systematic uncertainties in the lattice QCD computation of hadronic vacuum polarization (HVP) contribution to the muon $g-2$. We investigate three systematic effects; finite volume (FV) effect, cutoff effect, and integration scheme…

High Energy Physics - Lattice · Physics 2019-09-04 Eigo Shintani , Yoshinobu Kuramashi

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 perform a lattice QCD calculation of the hadronic light-by-light scattering amplitude in a broad kinematical range. At forward kinematics, the results are compared to a phenomenological analysis based on dispersive sum rules for…

High Energy Physics - Lattice · Physics 2015-12-02 Jeremy Green , Oleksii Gryniuk , Georg von Hippel , Harvey B. Meyer , Vladimir Pascalutsa

We compute the hadronic running of the electromagnetic and weak couplings in lattice QCD with $N_{\mathrm{f}}=2+1$ flavors of $\mathcal{O}(a)$ improved Wilson fermions. Using two different discretizations of the vector current, we compute…

Vacuum birefringence (VB), a fundamental prediction of nonlinear quantum electrodynamics (QED), has eluded direct laboratory detection due to its extreme weakness. We propose a compact, "self-probing" scheme where a GeV electron beam…

We present results of calculations of the hadronic vacuum polarisation contribution to the muon anomalous magnetic moment. Specifically, we focus on controlling the infrared regime of the vacuum polarisation function. Our results are…

High Energy Physics - Lattice · Physics 2018-04-18 M. Della Morte , A. Francis , A. Gérardin , V. Gülpers , G. Herdoiza , G. von Hippel , H. Horch , B. Jäger , H. B. Meyer , A. Nyffeler , H. Wittig

After discussing the relevance of a first principles theory-prediction of the hadronic vacuum polarisation for Standard Model tests, the theoretical challenges for its computation in lattice QCD are reviewed. New ideas that will potentially…

High Energy Physics - Lattice · Physics 2015-05-20 Michele Della Morte , Benjamin Jager , Andreas Juttner , Hartmut Wittig

Collision of ultra-intense optical laser and X-ray free electron laser (XFEL) pulses is a promising approach to detecting nonlinear vacuum polarization (VP), a long-standing prediction of quantum electrodynamics remaining to be tested.…

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

The QED vacuum polarization in external monochromatic plane-wave electromagnetic fields is calculated with spatial and temporal variations of the external fields being taken into account. We develop a perturbation theory to calculate the…

High Energy Physics - Phenomenology · Physics 2019-12-06 Akihiro Yatabe , Shoichi Yamada

We consider an impact of hadronic light-by-light scattering on the muonium hyperfine structure. A shift of the hyperfine interval $\Delta \nu({\rm Mu}) _{\rm\tiny HLBL}$ is calculated with the light-by-light scattering approximated by…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. G. Karshenboim , V. A. Shelyuto , A. I. Vainshtein

Transverse $\Lambda$ polarization observed over four decades ago contradicted expectations from early leading-order perturbative QCD calculations. Measurements of $\Lambda$ polarization from unpolarized $pp$ and $p$A collisions have been…

High Energy Physics - Experiment · Physics 2023-07-18 Cynthia Nunez

Hadronic vacuum polarization at low virtualities limits the precision of experimental tests of the standard model via important physical observables. Here we compute that effect in two-flavor chiral perturbation theory to three loops. Among…

High Energy Physics - Phenomenology · Physics 2026-03-02 Laurent Lellouch , Alessandro Lupo , Mattias Sjö , Kálmán Szabo , Pierre Vanhove

The anomalous magnetic moment of the muon, a_mu, has been measured with an overall precision of 540 ppb by the E821 experiment at BNL. Since the publication of this result in 2004 there has been a persistent tension of 3.5 standard…

High Energy Physics - Lattice · Physics 2019-01-15 Harvey B. Meyer , Hartmut Wittig

There are emerging tensions for theory results of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment both within recent lattice QCD calculations and between some lattice QCD calculations and R-ratio results.…

High Energy Physics - Lattice · Physics 2020-04-29 Christoph Lehner , Aaron S. Meyer

Electromagnetic corrections to the $n$-point functions of lattice QCD can be evaluated using a position-space photon propagator defined in infinite volume. Here we address the computational challenge arising from the volume-squared sum over…

High Energy Physics - Lattice · Physics 2026-03-16 Dominik Erb , Harvey B. Meyer , Konstantin Ottnad

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

The hadronic vacuum polarization correction to the $g$ factor of a bound electron is investigated theoretically. An effective hadronic Uehling potential obtained from measured cross sections of $e^- e^+$ annihilation into hadrons is…

High Energy Physics - Phenomenology · Physics 2023-11-28 Eugen Dizer , Zoltán Harman

Recent improvements in the determination of the running of the fine-structure constant also allow an update of the hadronic vacuum-polarization contribution to the Lamb shift. We find a shift of -3.40(7) kHz to the 1S level of hydrogen. We…

Nuclear Theory · Physics 2008-11-26 J. L. Friar , J. Martorell , D. W. L. Sprung