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Dispersive approach to hadronic light-by-light scattering

TLDR
In this article, a formalism for a model-independent evaluation of the hadronic light-by-light contribution to the anomalous magnetic moment of the muon is presented.
Abstract
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 this framework and provide a master formula that relates the effect from ππ intermediate states to the partial waves for the process γ * γ * → ππ. All contributions are expressed in terms of on-shell form factors and scattering amplitudes, and as such amenable to an experimental determination.

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Journal ArticleDOI

The anomalous magnetic moment of the muon in the Standard Model

T. Aoyama, +149 more
- 03 Dec 2020 - 
TL;DR: The current status of the Standard Model calculation of the anomalous magnetic moment of the muon is reviewed in this paper, where the authors present a detailed account of recent efforts to improve the calculation of these two contributions with either a data-driven, dispersive approach, or a first-principle, lattice approach.
Journal ArticleDOI

Muon g − 2 and α ( M Z 2 ) : A new data-based analysis

TL;DR: In this paper, the authors presented a complete reevaluation of the hadronic vacuum polarization contributions to the anomalous magnetic moment of the muon, aμhad,VP, and Δαhad(MZ2), from the combination of e+e-→hadrons cross section data.
Journal ArticleDOI

Three-pion contribution to hadronic vacuum polarization

TL;DR: In this paper, the authors used a global fit function based on analyticity and unitarity of the underlying ε-gamma-to-3-pi amplitude and its normalization from a chiral low-energy theorem to check the internal consistency of the various ε+e^-to 3-pi data sets.
Journal ArticleDOI

Two-pion contribution to hadronic vacuum polarization

TL;DR: The contribution of the 3π channel to hadronic vacuum polarization (HVP) using a dispersive representation of the e+e− → 3π amplitude was studied in this paper.
Journal ArticleDOI

Longitudinal short-distance constraints for the hadronic light-by-light contribution to (g − 2)μ with large-Nc Regge models

TL;DR: In this paper, the authors considered a tower of excited pseudoscalars, constraining their masses and transition form factors from Regge theory, the OPE, and phenomenology.
References
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Book

Angular Momentum in Quantum Mechanics

TL;DR: In this article, the angular momentum, one of the most fundamental quantities in all of quantum mechanics, is introduced and a concise introduction to its application in atomic, molecular, and nuclear physics is provided.
Journal ArticleDOI

On the general theory of collisions for particles with spin

TL;DR: In this article, the general analysis of binary reactions involving particles with arbitrary spin is reformulated in such a way, that it applies equally well to relativistic particles (including photons).
Journal ArticleDOI

The muon g ― 2

TL;DR: In this article, the authors present a review of the status of the theoretical prediction and in particular discuss the role of the hadronic vacuum polarization effects and hadronic light-by-light scattering correction, including a new evaluation of the dominant pion exchange contribution.
Journal ArticleDOI

Bremsstrahlung of very low-energy quanta in elementary particle collisions

TL;DR: In this paper, it was shown that the first two terms in the series expansion of the differential bremsstrahlung cross section (in powers of the energy loss) can be calculated exactly in terms of the corresponding elastic amplitude and the electromagnetic constants of the participating particles.
Journal ArticleDOI

Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment reexamined

TL;DR: In this article, Davier et al. discuss the hadronic light-by-light scattering contribution to the muon anomalous magnetic moment, paying particular attention to the consistent matching between the short-and the long-distance behavior of the light by light scattering amplitude.
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