What question did this study set out to answer?

The aim is to introduce a concise formula for calculating the muon anomalous magnetic moment accurately.

April 10, 2026Open Access

A Minimal Phenomenological Formula for the Muon Anomalous Magnetic Moment

Key Points

The aim is to introduce a concise formula for calculating the muon anomalous magnetic moment accurately.
Developed a phenomenological formula using the Schwinger term and muon-electron mass ratio
Compared calculated values against experimental measurements from Fermilab
Analyzed the efficiency of the new formula against the Standard Model predictions
Calculated the muon anomalous magnetic moment as 116592075.6(0.2) × 10^(-11)
Achieved excellent agreement with Fermilab's measurement of 116592071.5(14.5) × 10^(-11)
Demonstrated improvement over the Standard Model's theoretical prediction of 116592033(62) × 10^(-11)

Abstract

We propose a very concise phenomenological formula for the anomalous magnetic moment of the muon. The formula only involves the Schwinger term and the muon-electron mass ratio, and the calculation result is 116592075. 6 (0. 2) × 10^ (-11), which is in excellent agreement with the latest experimental measurement from Fermilab in 2025, namely 116592071. 5 (14. 5) × 10^ (-11) 1, and the result is also better than the theoretical value of the Standard Model, namely 116592033 (62) × 10^ (-11) 2. This concise formula offers new insights into the origin of the muon anomalous magnetic moment and also demonstrates that it can be calculated using a simpler and more efficient means.

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Cite This Study

ShanHong Li (Wed,) studied this question.

synapsesocial.com/papers/69d8962d6c1944d70ce0779a https://doi.org/https://doi.org/10.5281/zenodo.19467421

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