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In Refs. [1,2] we provided a complete dispersive evaluation of the hadronic light-by-light (HLbL) contribution to the anomalous magnetic moment of the muon. While the evaluation strategy was developed for the kinematic situation determined…

High Energy Physics - Phenomenology · Physics 2025-05-21 Martin Hoferichter , Peter Stoffer , Maximilian Zillinger

I give an overview of the different contributions to the electron and muon anomalous magnetic moments in the Standard Model. Special emphasis is given to recent QED results as well as to the hadronic light-by-light scattering contribution…

High Energy Physics - Phenomenology · Physics 2015-06-11 Eduardo de Rafael

We propose a new experiment to measure the running of the fine-structure constant in the space-like region by scattering high-energy muons on atomic electrons of a low-Z target through the process $\mu e \to \mu e$. The differential cross…

A precise evaluation of the electroweak contribution to the anomalous magnetic moment of the muon requires control over all aspects of the Standard Model, ranging from Higgs physics, over multi-loop computations for bosonic and…

High Energy Physics - Phenomenology · Physics 2025-05-21 Martin Hoferichter , Jan Lüdtke , Luca Naterop , Massimiliano Procura , Peter Stoffer

A confirmation of the long-standing muon $g$-2 discrepancy requires both experimental and theoretical progress. On the theory side, the hadronic corrections are under close scrutiny, as they induce the leading uncertainty of the Standard…

High Energy Physics - Phenomenology · Physics 2020-10-21 A. Masiero , P. Paradisi , M. Passera

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 employ a mathematical framework based on rational approximants in order to calculate the pseudoscalar-pole piece of the hadronic light-by-light contribution to the anomalous magnetic moment of the muon, $a_{\mu}^{\textrm{HLbL};P}$. The…

High Energy Physics - Phenomenology · Physics 2017-04-05 Pere Masjuan , Pablo Sanchez-Puertas

We compute the vacuum polarisation on the lattice in quenched QCD using non-perturbatively improved Wilson fermions. Above Q^2 of about 2 GeV^2 the results are very close to the predictions of perturbative QCD. Below this scale we see signs…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , W. Kürzinger , D. Pleiter , P. E. L. Rakow , G. Schierholz

We calculate (g-2) of the muon and the QED coupling alpha(M_Z^2), by improving the determination of the hadronic vacuum polarization contributions and their uncertainties. We include the recently re-analysed CMD-2 data on e^+e^- -> pi^+…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Hagiwara , A. D. Martin , Daisuke Nomura , T. Teubner

We study the muon $(g-2)_{\mu}$ anomaly in light of neutralino dark matter and the LHC. We scan the MSSM parameters relevant to $(g-2)_{\mu}$ and focus on three distinct cases with different neutralino compositions. We find that the…

High Energy Physics - Phenomenology · Physics 2016-01-06 M. Adeel Ajaib , Bhaskar Dutta , Tathagata Ghosh , Ilia Gogoladze , Qaisar Shafi

In this thesis, I present dispersive treatments of two hadronic processes: the semileptonic kaon decay $K_{\ell4}$ and hadronic light-by-light scattering. The $K_{\ell4}$ decay is one of the best sources of information on some of the…

High Energy Physics - Phenomenology · Physics 2014-12-18 Peter Stoffer

With the recent interest in the measured and standard model values of the muon anomalous magnetic moment, a_mu, some confusion has arisen concerning our knowledge of the hadronic contribution to a_mu. In the dispersion integral approach to…

High Energy Physics - Phenomenology · Physics 2007-05-23 William J. Marciano , B. Lee Roberts

We have performed a new evaluation of the hadronic contribution to $a_{\mu}=(g-2)/2$ of the muon with explicit correlations of systematic errors among the experimental data on $\sigma( e^+e^- \to hadrons )$. Our result for the lowest order…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. H. Brown , W. A. Worstell

The experimental value of g-2 of the muon is larger by $4.2 \sigma$ than the Standard Model prediction based on the hadronic vacuum polarization contribution (HVP) determined from the measured R-ratio, $\sigma(e^+e^- \! \rightarrow \!…

High Energy Physics - Phenomenology · Physics 2022-09-09 Glennys R. Farrar

The recent precise measurement of the muon magnetic anomaly (g-2)_{mu} at BNL opens a window into possible new physics, provided the contribution from hadronic vacuum polarization is well understood. This talk summarizes the development in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andreas Hocker

We present updated results for the light-quark connected part of the leading hadronic contribution to the muon $g-2$ from configurations with 2+1+1 flavors of HISQ quarks using the time-momentum representation of the electromagnetic current…

High Energy Physics - Lattice · Physics 2021-10-08 Christopher Aubin , Thomas Blum , Maarten Golterman , Santiago Peris

We present and test a new method to compute the hadronic vacuum polarization function in lattice simulations. This can then be used, e.g., to determine the leading hadronic contribution to the anomalous magnetic moment of the muon. The…

High Energy Physics - Lattice · Physics 2015-09-30 Gunnar Bali , Gergely Endrodi

Based on dispersion theory, we present a formalism for a model-independent evaluation of the hadronic light-by-light contribution to the anomalous magnetic moment of the muon. In particular, we comment on the definition of the pion pole in…

High Energy Physics - Phenomenology · Physics 2015-06-18 Gilberto Colangelo , Martin Hoferichter , Massimiliano Procura , Peter Stoffer

The muon anomalous magnetic moment is one of the most precisely measured quantities in particle physics. Recent high precision measurements (0.54ppm) at Brookhaven reveal a ``discrepancy'' by 3 standard deviations from the electroweak…

High Energy Physics - Phenomenology · Physics 2010-04-06 F. Jegerlehner

We discuss the hadronic contributions to the muon anomalous magnetic moment. They are dominated by light quark contributions which are constrained by the mechanism of chiral symmetry breaking. Using the leading order result based on $e^+…

High Energy Physics - Phenomenology · Physics 2019-10-29 Stefan Groote , Thomas Mannel , Alexei A. Pivovarov