Remarkable suppression of the $e^{+}e^{-}\to\pi^{+}\pi^{-}$ contribution error into muon $g-2$

TL;DR

This paper presents a method using a unitary and analytic model to evaluate the pion contribution to muon g-2, significantly reducing theoretical uncertainty compared to traditional data integration methods.

Contribution

It introduces a novel approach employing a unitary and analytic model to improve the precision of the pion contribution estimate to muon g-2.

Findings

Reduced uncertainty in the pion contribution estimate

Demonstrated effectiveness of the model-based approach

Improved theoretical prediction accuracy

Abstract

We use the unitary and analytic model of the pion electromagnetic form factor in order to evaluate in the lowest order the $e^{+}e^{-}\to\pi^{+}\pi^{-}$ contribution into the muon magnetic anomaly. We demonstrate, that this technique enables us to reduce the uncertainty of the theoretical prediction importantly in comparison to usual approaches, where the measured data are integrated directly.