Photon-Photon Scattering Contribution to the Anomalous Magnetic Moment of the Muon

1976 ◽  
Vol 36 (8) ◽  
pp. 442-446 ◽  
Author(s):  
Mark A. Samuel ◽  
Clyde Chlouber
Keyword(s):  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Photon Scattering ◽  
Scattering Contribution

scholarly journals Hadronic light-by-light scattering in the muon g − 2

2019 ◽  
Vol 218 ◽  
pp. 01001
Author(s):  
Andreas Nyffeler
Keyword(s):  
Light Scattering ◽  
Lattice Qcd ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Current Status ◽  
Reliable Estimate ◽  
Model Calculations ◽  
Recent Developments ◽  
Model Independent ◽  
Scattering Contribution

We briefly review the current status of the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon. Based on various model calculations in the literature, we obtain the estimate $ \mathop a\nolimits_\mu ^{HLbL} = (102 \pm 39) \times \mathop {10}\nolimits^{ - 11} $. Recent developments including more model-independent approaches using dispersion relations and lattice QCD, that could lead to a more reliable estimate, are also discussed.

scholarly journals Soft gluon fields and anomalous magnetic moment of muon

2022 ◽  
Author(s):  
S N Nedelko ◽  
Aleksei Nikolskii ◽  
Vladimir Voronin
Keyword(s):  
Magnetic Moment ◽  
Ground State ◽  
Anomalous Magnetic Moment ◽  
Wilson Line ◽  
Mean Field ◽  
Soft Gluon ◽  
Field Approach ◽  
Qcd Vacuum ◽  
The Mean ◽  
Scattering Contribution

Abstract An impact of nonperturbatively treated soft gluon modes on the value of anomalous magnetic moment of muon a_µ is studied within the mean-field approach to QCD vacuum and hadronization. It is shown that radial excitations of vector mesons strongly enhance contribution of hadronic vacuum polarization to a_µ, doubling the contribution of one-meson processes compared to the result for ground state mesons. The mean field also strongly influences the hadronic light-by-light scattering contribution due to the Wilson line in quark propagators.

scholarly journals Holographic QCD and the muon anomalous magnetic moment

2021 ◽  
Vol 81 (11) ◽  
Author(s):  
Josef Leutgeb ◽  
Jonas Mager ◽  
Anton Rebhan
Keyword(s):  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Short Distance ◽  
Axial Vector ◽  
Distance Constraint ◽  
Vector Mesons ◽  
Goldstone Bosons ◽  
Holographic Qcd ◽  
Scattering Contribution ◽  
Made In

AbstractWe 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 constraints associated with the axial anomaly are notoriously difficult to satisfy in hadronic models. This requires the summation of an infinite tower of axial vector mesons, which is naturally present in holographic QCD models, and indeed takes care of the longitudinal short-distance constraint due to Melnikov and Vainshtein. Numerically the results of simple hard-wall holographic QCD models point to larger contributions from axial vector mesons than assumed previously, while the predicted contributions from pseudo-Goldstone bosons agree nicely with data-driven approaches.

scholarly journals VIRTUAL PHOTON–PHOTON SCATTERING

2014 ◽  
Vol 35 ◽  
pp. 1460400 ◽  
Author(s):  
MARTIN HOFERICHTER ◽  
GILBERTO COLANGELO ◽  
MASSIMILIANO PROCURA ◽  
PETER STOFFER
Keyword(s):  
Light Scattering ◽  
Cross Section ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Virtual Photon ◽  
Vacuum Polarization ◽  
Lorentz Invariance ◽  
Analytic Structure ◽  
Photon Scattering ◽  
Virtual Photons

Based on analyticity, unitarity, and Lorentz invariance the contribution from hadronic vacuum polarization to the anomalous magnetic moment of the muon is directly related to the cross section of e+e− → hadrons . We review the main difficulties that impede such an approach for light-by-light scattering and identify the required ingredients from experiment. Amongst those, the most critical one is the scattering of two virtual photons into meson pairs. We analyze the analytic structure of the process γ*γ* → ππ and show that the usual Muskhelishvili–Omnès representation can be amended in such a way as to remain valid even in the presence of anomalous thresholds.

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