# Axial vector transition form factors in holographic QCD and their contribution to the anomalous magnetic moment of the muon

@article{Leutgeb2020AxialVT,
title={Axial vector transition form factors in holographic QCD and their contribution to the anomalous magnetic moment of the muon},
author={Josef Leutgeb and Anton Rebhan},
journal={Physical Review D},
year={2020}
}
• Published 3 December 2019
• Physics
• Physical Review D
We evaluate axial vector transition form factors in holographic QCD models that have been shown to reproduce well recent experimental and theoretical results for the pion transition form factor. Comparing with L3 data on $f_1\to\gamma\gamma^*$ we find remarkable agreement regarding the shape of single-virtual form factors. In the double-virtual case, the holographic results differ strongly from a simple dipole form, and this has an important impact on the corresponding estimate of the axial…

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## References

SHOWING 1-10 OF 91 REFERENCES
Pseudoscalar transition form factors and the hadronic light-by-light contribution to the anomalous magnetic moment of the muon from holographic QCD
• Physics
• 2019
We revisit the predictions for the pseudoscalar-photon transition form factors in bottom-up and top-down holographic QCD models which only use the pion decay constant and the $\rho$ meson mass as
Hadronic light by light contribution to the(g−2)μwith holographic models of QCD
• Physics
• 2010
We study the anomalous electromagnetic pion form factor $F_{\pi^0\gamma^*\gamma^*}$ with a set of holographic models. By comparing with the measured value of the linear slope, some of these models
Lattice calculation of the pion transition form factor with Nf=2+1 Wilson quarks
• Physics
Physical Review D
• 2019
We present a lattice QCD calculation of the double-virtual neutral pion transition form factor, with the goal to cover the kinematic range relevant to hadronic light-by-light scattering in the muon
Electromagnetic and strong isospin-breaking corrections to the muon g−2 from lattice QCD+QED
• Physics
Physical Review D
• 2019
We present a lattice calculation of the leading-order electromagnetic and strong isospin-breaking corrections to the hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment
Leading hadronic contribution to (g−2)μ from lattice QCD with Nf=2+1 flavors of O(a) improved Wilson quarks
• Physics
Physical Review D
• 2019
The comparison of the theoretical and experimental determinations of the anomalous magnetic moment of the muon $(g-2)_\mu$ constitutes one of the strongest tests of the Standard Model at low
Theta dependence in holographic QCD
• Physics
• 2016
A bstractWe study the effects of the CP-breaking topological θ-term in the large Nc QCD model by Witten, Sakai and Sugimoto with Nf degenerate light flavors. We first compute the ground state energy
Anomalous AV^*V vertex function in the soft-wall holographic model of QCD
• Physics
• 2012
We consider the vertex function of two vector and one axial-vector currents using the soft-wall holographic model of QCD with the Chern-Simons term. Two structure functions wL and wT describe such a
Refinements in electroweak contributions to the muon anomalous magnetic moment
• Physics
• 2003
Effects of strong interactions on the two loop electroweak radiative corrections to the muon anomalous magnetic moment, $a_\mu=(g_\mu-2)/2$, are examined. Short-distance logs are shown to be
Dispersion relation for hadronic light-by-light scattering: two-pion contributions
• Physics
• 2017
A bstractIn this third paper of a series dedicated to a dispersive treatment of the hadronic light-by-light (HLbL) tensor, we derive a partial-wave formulation for two-pion intermediate states in the