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Despite recent developments, there are a number of conceptual issues on the hadronic light-by-light (HLbL) contribution to the muon $(g-2)$ which remain unresolved. One of the most controversial ones is the precise way in which…

High Energy Physics - Phenomenology · Physics 2020-12-03 Luigi Cappiello , Oscar Cata , Giancarlo D'Ambrosio , David Greynat , Abhishek Iyer

We comment on the recent calculations of the pion pole part of the light-by-light contribution to the muon anomalous magnetic moment and we point out where the analysis in our previous work was mistaken.

High Energy Physics - Phenomenology · Physics 2009-11-07 Johan Bijnens , Elisabetta Pallante , Joaquim Prades

We consider the subleading contributions of the hadronic vacuum polarization, involving the $\pi^0\gamma^*\gamma^*$ transition form factor, to the muon anomalous magnetic moment $g-2$. Various models for the form factor, based on hadronic…

High Energy Physics - Phenomenology · Physics 2018-02-14 Deog Ki Hong , Du Hwan Kim , Jong-Wan Lee

We compute the isospin-violating part $a_\mu^{\text{HVP}, 38}$ of the hadronic-vacuum-polarization (HVP) contribution to the muon $(g-2)$ in lattice QCD at the SU$(3)_{\rm f}$-symmetric point where $M_\pi=M_K\simeq 416$ MeV. All diagrams…

High Energy Physics - Lattice · Physics 2025-09-01 Dominik Erb , Antoine Gérardin , Harvey B. Meyer , Julian Parrino , Volodymyr Biloshytskyi , Vladimir Pascalutsa

The theoretical uncertainty of $(g-2)_\mu $ is currently dominated by hadronic contributions. In order to express those in terms of directly measurable quantities, we consider a sum rule relating $g-2$ to an integral of a photo-absorption…

High Energy Physics - Phenomenology · Physics 2018-03-02 Franziska Hagelstein , Vladimir Pascalutsa

We present a new general dispersive formalism for evaluating the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon. In the suggested approach, this correction is related to the imaginary part of…

High Energy Physics - Phenomenology · Physics 2014-12-24 Vladyslav Pauk , Marc Vanderhaeghen

We provide the first ab-initio calculation of the Euclidean long-distance window of the isospin symmetric light-quark connected contribution to the hadronic vacuum polarization for the muon $g-2$ and find $a_\mu^{\rm LD,iso,conn,ud} =…

We review Standard-Model evaluations of hadronic contributions to the muon anomalous magnetic moment $g-2$. Most space is devoted to the hadronic vacuum polarization contribution, in view of the discrepancy between the data-based dispersive…

High Energy Physics - Phenomenology · Physics 2022-08-23 Maarten Golterman

We present a model-independent method to estimate the effects of short-distance constraints (SDCs) on the hadronic light-by-light contribution to the muon anomalous magnetic moment $a_\mu^\text{HLbL}$. The relevant loop integral is…

High Energy Physics - Phenomenology · Physics 2020-12-30 Jan Lüdtke , Massimiliano Procura

The Schwinger sum rule is presented as a new promising tool to study the hadronic contributions to the muon anomalous magnetic moment. In particular, we show preliminary results for the light-by-light scattering contribution of pseudoscalar…

High Energy Physics - Phenomenology · Physics 2019-07-17 Franziska Hagelstein , Vladimir Pascalutsa

We review the recent progress made in using holographic QCD to study hadronic contributions to the anomalous magnetic moment of the muon, in particular the hadronic light-by-light scattering contribution, where the short-distance…

High Energy Physics - Phenomenology · Physics 2022-01-10 Josef Leutgeb , Jonas Mager , Anton Rebhan

We compute an $\mathcal{O}\left(\alpha^2(Z\alpha)^6\right)$ contribution to the hydrogen-atom Lamb shift arising from the light-by-light scattering. Analogous diagrams, with one atomic electric field insertion replaced by an external…

Atomic Physics · Physics 2016-12-21 Andrzej Czarnecki , Robert Szafron

The long-distance contribution of QED corrections to the hadronic vacuum polarization is particularly challenging to compute in lattice QCD+QED. Currently, it is one of the limiting factors towards matching the precision of the recent…

High Energy Physics - Lattice · Physics 2025-09-01 Christoph Lehner , Julian Parrino , Andreas Völklein

We present a set of sum rules relating the low-energy light-by-light scattering to integrals of \gamma\gamma-fusion cross sections and use them to study the hadronic contributions.

High Energy Physics - Phenomenology · Physics 2015-03-19 Vladimir Pascalutsa , Vladyslav Pauk , Marc Vanderhaeghen

We present the status of the MUonE experimental proposal which aims at determining the leading order hadronic contribution to the muon g-2 by measuring the hadronic part of the photon vacuum polarization in the spacelike region. The…

High Energy Physics - Experiment · Physics 2018-11-29 Graziano Venanzoni

We develop the formalism to provide an improved estimate for the hadronic light-by-light correction to the muon's anomalous magnetic moment a_{\mu}, by considering single meson contributions beyond the leading pseudo-scalar mesons. We…

High Energy Physics - Phenomenology · Physics 2015-06-18 Vladyslav Pauk , Marc Vanderhaeghen

We consider the pion-photon transition form factor at low to intermediate spacelike momenta within the theoretical framework of light-cone sum rules. We derive predictions which take into account all currently known contributions stemming…

High Energy Physics - Phenomenology · Physics 2017-03-24 S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

We consider the O(alpha^2) hadronic corrections to the energy spectrum of the decay electron in muon decay. We find that the correction can be described, within good approximation, by a linear function in the electron energy. Explicit…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. I. Davydychev , K. Schilcher , H. Spiesberger

We summarize recent developments in the Standard-Model evaluation of the anomalous magnetic moment of the muon $a_\mu$, both in the hadronic-light-by-light and hadronic-vacuum-polarization contributions. The current situation for the latter…

High Energy Physics - Phenomenology · Physics 2023-08-09 Gilberto Colangelo , Martin Hoferichter , Peter Stoffer

We reanalyze the two-loop electroweak hadronic contributions to the muon g-2 that may be enhanced by large logarithms. The present evaluation is improved over those already existing in the literature by the implementation of the current…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Knecht , S. Peris , M. Perrottet , E. de Rafael
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