Updated pseudoscalar contributions to the hadronic light-by-light of the muon (g-2)

TL;DR

This paper introduces a new data-driven method using Canterbury approximants to accurately estimate the pseudoscalar contributions to the muon's anomalous magnetic moment, including systematic uncertainties.

Contribution

It presents a novel, systematic, and model-independent approach to calculating the hadronic light-by-light contribution to muon (g-2) using Canterbury approximants.

Findings

Provides a competitive estimate of the pseudoscalar contribution

Includes a well-defined systematic uncertainty

Aligns with future experimental precision

Abstract

In this work, we present our recent results on a new and alternative data-driven determination for the hadronic light-by-light pseudoscalar-pole contribution to the muon $(g-2)$. Our approach is based on Canterbury approximants, a rational approach to describe the required transition form factors, which provides a systematic and model-independent framework beyond traditional large-$N_c$ approaches. As a result, we obtain a competitive determination with errors according to future $(g-2)$ experiments including, for the first time, a well-defined systematic uncertainty.