# Pseudoscalar-pole contribution to the $(g_{\mu}-2)$: a rational approach

## TL;DR

This paper introduces a systematic, data-driven rational approximant method to accurately calculate the pseudoscalar-pole contribution to the muon's anomalous magnetic moment, reducing theoretical uncertainties for upcoming experiments.

## Contribution

It presents a novel, model-independent rational approximation framework for calculating the pseudoscalar-pole contribution to the muon g-2, with a systematic uncertainty estimate based on extensive data.

## Key findings

- Calculated $a_{ extrm{mu}}^{ extrm{HLbL};P}$ as 94.3(5.3) x 10^{-11}
- Method achieves uncertainty below future experimental precision
- Provides a systematic, data-based approach with uncertainty quantification

## Abstract

We employ a mathematical framework based on rational approximants in order to calculate the pseudoscalar-pole piece of the hadronic light-by-light contribution to the anomalous magnetic moment of the muon, $a_{\mu}^{\textrm{HLbL};P}$. The method is systematic and data based, profiting from over 13 different collaborations, and able to ascribe, for the first time, a systematic uncertainty which provides for the model independence. As a result, we obtain $a_{\mu}^{\textrm{HLbL};P}=94.3(5.3) \times10^{-11}$, which uncertainty is well below the one foreseen at future experiments measuring the $(g_{\mu}-2)$.