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In this talk we review the recent progress on the numerical determination of the Hadronic Light-by-Light contribution to the anomalous magnetic moment of the muon and we discuss the role of experimental data on the accuracy of its…

High Energy Physics - Phenomenology · Physics 2017-11-08 P. Masjuan , P. Sanchez-Puertas

The anomalous magnetic moment of the muon $a_{\mu}$ and the running of the electromagnetic coupling $\alpha$ play a fundamental role in beyond Standard Model (SM) physics searches. Non-perturbative hadronic contributions to both quantities,…

High Energy Physics - Lattice · Physics 2022-05-24 Andreas Risch , Hartmut Wittig

The complete set of relations, which mutually express the spacelike and timelike kernel functions for the hadronic vacuum polarization contribution to the muon anomalous magnetic moment $a^{\text{HVP}}_{\mu}$ in terms of each other, is…

High Energy Physics - Phenomenology · Physics 2022-05-06 A. V. Nesterenko

Hadronic light-by-light scattering in the anomalous magnetic moment of the muon $a_\mu$ is one of two hadronic effects limiting the precision of the Standard Model prediction for this precision observable, and hence the new-physics…

High Energy Physics - Lattice · Physics 2018-11-21 Nils Asmussen , Antoine Gérardin , Andreas Nyffeler , Harvey B. Meyer

Results on the lowest-order hadronic vacuum polarization contribution to the muon magnetic anomaly are presented. They are based on the latest published experimental data used as input to the dispersion integral. Thus recent results on tau…

High Energy Physics - Phenomenology · Physics 2015-05-18 M. Davier

This addendum provides results complementary to those obtained in [J. Phys. G49, 055001 (2022)]. Specifically, an equivalent form of the relation, which binds together the "spacelike" kernel functions for the hadronic vacuum polarization…

High Energy Physics - Phenomenology · Physics 2022-12-22 A. V. Nesterenko

The leading-order hadronic contribution to the muon anomalous magentic moment, $a_\mu^{\rm LO,HVP}$, can be expressed as an integral over Euclidean $Q^2$ of the vacuum polarization function. We point out that a simple trapezoid-rule…

High Energy Physics - Lattice · Physics 2014-10-31 Maarten Golterman , Kim Maltman , Santiago Peris

We present a lattice QCD calculation of the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon using $N_f=2+1+1$ flavors of staggered quarks with masses tuned to their physical values. Our final…

High Energy Physics - Lattice · Physics 2024-11-19 Zoltan Fodor , Antoine Gerardin , Laurent Lellouch , Kalman K. Szabo , Balint C. Toth , Christian Zimmermann

We determine the contribution to the anomalous magnetic moment of the muon from the $\alpha^2_{\mathrm{QED}}$ hadronic vacuum polarization diagram using full lattice QCD and including $u/d$ quarks with physical masses for the first time. We…

High Energy Physics - Lattice · Physics 2017-08-30 Bipasha Chakraborty , C. T. H. Davies , P. G. de Oliviera , J. Koponen , G. P. Lepage , R. van de Water

We review the status of the hadronic light-by-light contribution to the muon anomalous magnetic moment and critically compare recent calculations. We also study in detail which momentum regions the pi^0 exchange main contribution…

High Energy Physics - Phenomenology · Physics 2008-11-26 Johan Bijnens , Joaquim Prades

We report the first lattice QCD calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment at physical pion mass. The calculation uses a refined noise-reduction technique which enabled…

High Energy Physics - Lattice · Physics 2016-06-15 T. Blum , P. A. Boyle , T. Izubuchi , L. Jin , A. Jüttner , C. Lehner , K. Maltman , M. Marinkovic , A. Portelli , M. Spraggs

In this paper, we discuss how windows in Euclidean time can be used to isolate the origin of potential conflicts between evaluations of the hadronic-vacuum-polarization (HVP) contribution to the anomalous magnetic moment of the muon in…

High Energy Physics - Phenomenology · Physics 2022-07-26 G. Colangelo , A. X. El-Khadra , M. Hoferichter , A. Keshavarzi , C. Lehner , P. Stoffer , T. Teubner

There are indications that hadronic loops in some electroweak observables are almost saturated by parton level effects. Taking this as the hypothesis for this work, we propose a genuine parton level estimate of the hadronic light-by-light…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jens Erler , Genaro Toledo Sanchez

The lowest order hadronic contribution to the $g-2$ factor of the muon is analyzed in the framework of the operator product expansion at short distances, and a QCD finite energy sum rule designed to quench the role of the $e^+ e^-$ data.…

High Energy Physics - Phenomenology · Physics 2013-08-09 S. Bodenstein , C. A. Dominguez , K. Schilcher , H. Spiesberger

The KNT(W) data-driven determinations of the hadronic vacuum polarization (HVP) are crucial inputs to previous and future Standard Model (SM) predictions of the muon's anomalous magnetic moment, $a_\mu$. With the muon $g$$-$$2$'s new…

High Energy Physics - Phenomenology · Physics 2024-09-05 Alexander Keshavarzi , Daisuke Nomura , Thomas Teubner , Aidan Wright

We present a first model-independent calculation of $\pi\pi$ intermediate states in the hadronic-light-by-light (HLbL) contribution to the anomalous magnetic moment of the muon $(g-2)_\mu$ that goes beyond the scalar QED pion loop. To this…

High Energy Physics - Phenomenology · Physics 2017-06-13 Gilberto Colangelo , Martin Hoferichter , Massimiliano Procura , Peter Stoffer

We report the first result for the hadronic light-by-light scattering contribution to the muon anomalous magnetic moment with all errors systematically controlled. Several ensembles using 2+1 flavors of physical mass M\"obius domain-wall…

High Energy Physics - Lattice · Physics 2020-04-08 Thomas Blum , Norman Christ , Masashi Hayakawa , Taku Izubuchi , Luchang Jin , Chulwoo Jung , Christoph Lehner

We estimated an impact of the recent CMD-3 measurement of the $e^+e^- \to \pi^+\pi^-$ total cross section at $0.3 < \sqrt{s} < 1.2$ GeV on the leading order hadronic contribution $a_\mu^{had,LO}$ to the muon anomalous magnetic moment $a_\mu…

High Energy Physics - Phenomenology · Physics 2024-01-17 V. V. Bryzgalov , O. V. Zenin

In this work we focus on the evaluation of the leading-order hadronic vacuum polarization contribution from the $\pi\pi$ channel to the muon anomalous magnetic moment $a_\mu$ by using the experimental $\tau\to\pi\pi\nu_\tau$ data. The…

High Energy Physics - Phenomenology · Physics 2025-10-07 Zhi-Xin Li , Ao Li , Jin Hao , Chun-Gui Duan , Zhi-Hui Guo

The relations between the window quantities for the hadronic vacuum polarization contributions to the muon anomalous magnetic moment $a^{\text{HVP}}_{\mu}$ in spacelike and timelike domains are studied. Two types of window functions (abrupt…

High Energy Physics - Phenomenology · Physics 2026-03-03 A. V. Nesterenko