On a novel evalutation of the hadronic contribution to the muon's $g-2$ from QCD

TL;DR

This paper presents a new analytical method based on a non-local NJL model derived from QCD to estimate the hadronic contribution to the muon's g-2, offering an alternative to lattice computations.

Contribution

The authors develop a novel analytical approach using a low-energy QCD-derived NJL model to compute the hadronic vacuum polarization for muon g-2.

Findings

Results are close to experimental data-based computations.

Provides an analytical alternative to lattice QCD methods.

Potential applications in dark sector and BSM physics estimates.

Abstract

We evaluate the hadronic contribution to the $g-2$ of the muon by deriving the low-energy limit of quantum chromodynamics (QCD) and computing in this way the hadronic vacuum polarization. The low-energy limit is a non-local Nambu--Jona-Lasinio (NJL) model that has all the parameters fixed from QCD, and the only experimental input used is the confinement scale that is known from measurements of hadronic physics. Our estimations provide a novel analytical alternative to the current lattice computations and we find that our result is close to the similar computation performed from experimental data. We also comment on how this analytical approach technique, in general, may provide prospective estimates for hadronic computations from dark sectors and its implication in BSM model-building in future.