# Pseudoscalar transition form factors and the hadronic light-by-light contribution to the anomalous magnetic moment of the muon from holographic QCD

## TL;DR

This paper evaluates holographic QCD models' predictions for pseudoscalar transition form factors and their impact on the muon's anomalous magnetic moment, showing good agreement with recent experimental and lattice data.

## Contribution

It demonstrates that bottom-up and top-down holographic QCD models accurately predict pseudoscalar form factors and the pion pole contribution to muon g-2, aligning with recent experimental and lattice results.

## Key findings

- Holographic models agree with BESIII data at low momenta.
- Models are consistent with BaBar and lattice results at high momenta.
- Predicted pion pole contribution to muon g-2 is 6.1(4)×10^{-10}.

## Abstract

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 input. We find remarkable agreement with the available experimental data for the single-virtual $\pi^0$ form factor that have recently been extended to lower momenta by BESIII, down to 0.3 GeV$^2$. The bottom-up models moreover turn out to be roughly consistent with recent experimental results obtained by BaBar for the double-virtual $\eta'$ form factor at large momenta as well as with a recent lattice extrapolation for the double-virtual $\pi^0$ form factor. Calculating the pion pole contribution to the hadronic light-by-light scattering in the anomalous magnetic moment of the muon, we find that the bottom-up models in question span the range $a_\mu^{\pi^0}=6.1(4)\cdot 10^{-10}, which is somewhat lower than estimated previously by approximating these holographic predictions through simple interpolators, and in remarkably good agreement with recent results based on a dispersive approach or lattice simulations.