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Corrections to energy levels in light muonic atoms are investigated in order $\alpha^2(Z\alpha)^4m$. We pay attention to corrections which are specific for muonic atoms and include the electron vacuum polarization loop. In particular, we…

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

I review the recent calculations and current status of the hadronic light-by-light scattering contribution to muon g-2. In particular, I discuss the main results obtained in a recent work together with Eduardo de Rafael and Arkady…

High Energy Physics - Phenomenology · Physics 2009-07-20 Joaquim Prades

We calculate the double-virtual $\eta \rightarrow \gamma^* \gamma^*$ transition form factor $\mathcal{F}_{\eta \to \gamma^* \gamma^*}(q_1^2,q_2^2)$ from first principles using a lattice QCD simulation with $N_f=2+1+1$ quark flavors at the…

We compute the hadronic light-by-light scattering contribution to the muon $g-2$ from the up, down, and strange-quark sector directly using lattice QCD. Our calculation features evaluations of all possible Wick-contractions of the relevant…

High Energy Physics - Lattice · Physics 2021-08-18 En-Hung Chao , Renwick J. Hudspith , Antoine Gérardin , Jeremy R. Green , Harvey B. Meyer , Konstantin Ottnad

We discuss hadronic light-by-light scattering contribution to the muon anomalous magnetic moment a_\mu^{\rm lbl}, paying particular attention to the consistent matching between the short- and the long-distance behavior of the light-by-light…

High Energy Physics - Phenomenology · Physics 2009-11-10 Kirill Melnikov , Arkady Vainshtein

We summarize our recent new evaluation of the pion-exchange contribution to hadronic light-by-light scattering in the muon g-2. We first derive a new short-distance constraint on the off-shell pion-photon-photon form factor at the external…

High Energy Physics - Phenomenology · Physics 2014-11-20 Andreas Nyffeler

In the relativistic description of atomic systems in external fields the total momentum and the external electric field couple to the angular momentum of the individual particles. Therefore, the motional state of an ion in a particle trap…

Atomic Physics · Physics 2015-11-11 Niklas Michel , Jacek Zatorski , Christoph H. Keitel

The hadronic corrections to the muon anomalous magnetic moment a_mu, due to the gauge-invariant set of diagrams with dynamical quark loop light-by-light scattering insertions, are calculated in the framework of the nonlocal chiral quark…

High Energy Physics - Phenomenology · Physics 2015-09-30 A. E. Dorokhov , A. E. Radzhabov , A. S. Zhevlakov

Recently it was pointed out that for the evaluation of the numerically dominant pion-exchange contribution to the hadronic light-by-light scattering correction in the muon g-2, a fully off-shell pion-photon-photon form factor should be…

High Energy Physics - Phenomenology · Physics 2010-04-21 Andreas Nyffeler

The anomalous magnetic moment of the muon currently exhibits a discrepancy of about three standard deviations between the experimental value and recent Standard Model predictions. The theoretical uncertainty is dominated by the hadronic…

High Energy Physics - Lattice · Physics 2016-09-28 Nils Asmussen , Jeremy Green , Harvey B. Meyer , Andreas Nyffeler

The evaluation of the numerically dominant pseudoscalar-pole contribution to hadronic light-by-light scattering in the muon g-2 involves the pseudoscalar-photon transition form factor F_{P gamma^* gamma^*}(-Q_1^2, -Q_2^2) with P = pi^0,…

High Energy Physics - Phenomenology · Physics 2016-06-22 Andreas Nyffeler

The proton polarizability effect in the muonic-hydrogen Lamb shift comes out as a prediction of baryon chiral perturbation theory at leading order and our calculation yields for it: $\Delta E^{(\mathrm{pol})} (2P-2S) = 8^{+3}_{-1}\, \mu$eV.…

High Energy Physics - Phenomenology · Physics 2015-06-18 Jose Manuel Alarcón , Vadim Lensky , Vladimir Pascalutsa

This paper contains some new results on the hadronic light-by-light contribution (HLbL) to the muon $g-2$. The first part argues that we can expect large effects from disconnected diagrams in present and future calculations by lattice QCD…

High Energy Physics - Phenomenology · Physics 2016-10-12 Johan Bijnens , Johan Relefors

The proton-polarizability contribution to the muonic-hydrogen Lamb shift is a major source of theoretical uncertainty in the extraction of the proton charge radius. An empirical evaluation of this effect, based on the proton structure…

High Energy Physics - Phenomenology · Physics 2021-10-11 Franziska Hagelstein , Vladimir Pascalutsa

The pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon $(g-2)_\mu$ is fully determined by the doubly-virtual pion transition form factor. Although this crucial input quantity is, in…

High Energy Physics - Phenomenology · Physics 2018-10-26 Martin Hoferichter , Bai-Long Hoid , Bastian Kubis , Stefan Leupold , Sebastian P. Schneider

This dissertation presents the first theoretical investigation of the Lamb shift in a light-front hamiltonian approach: the dominant part of the splitting between the 2S(1/2) and 2P(1/2) energy levels in hydrogen is calculated. Also…

High Energy Physics - Phenomenology · Physics 2009-09-25 Billy D. Jones

This thesis investigates the Hadronic Light by Light (HLL) scattering contribution to the muon $g-2$, which is one of the most important low energy hadronic effects and consists mainly of the quark loop, the pion pole and the charged pion…

High Energy Physics - Phenomenology · Physics 2012-08-14 Mehran Zahiri Abyaneh

We derive an analytic result for the pion pole contribution to the light-by-light scattering correction to the anomalous magnetic moment of the muon, $a_\mu = (g_\mu-2)/2$. Using the vector meson dominance model (VMD) for the pion…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ian Blokland , Andrzej Czarnecki , Kirill Melnikov

We calculate the $\pi^0\to \gamma^*\gamma^*$ transition form factor ${\cal F}_{\pi^0\gamma^*\gamma^*}(q_1^2,q_2^2)$ in lattice QCD with two flavors of quarks. Our main motivation is to provide the input to calculate the $\pi^0$-pole…

High Energy Physics - Lattice · Physics 2016-12-16 Antoine Gérardin , Harvey B. Meyer , Andreas Nyffeler

We briefly review the current status of the hadronic light-by-light scattering correction to the muon g-2. Then we present our semi-analytical evaluation of the pion-pole contribution, using a description of the pion-photon-photon form…

High Energy Physics - Phenomenology · Physics 2009-11-07 Andreas Nyffeler