Three-Loop Contribution to Hyperfine Splitting in Muonium: Polarization Corrections to Light by Light Scattering Blob

TL;DR

This paper calculates a specific three-loop quantum electrodynamics correction to the hyperfine splitting in muonium, focusing on polarization effects in light-by-light scattering diagrams, resulting in a precise contribution of -2.63 Hz.

Contribution

It provides the first detailed calculation of polarization corrections at three-loop order for hyperfine splitting in muonium, refining theoretical predictions.

Findings

Nonrecoil correction is -2.63 Hz.

Total known correction of order α^3(Zα)E_F) is -4.28 Hz.

Improves accuracy of hyperfine splitting theoretical models.

Abstract

We calculate corrections of order $\alpha^3(Z\alpha)E_F$ to hyperfine splitting in muonium generated by the gauge invariant set of diagrams with polarization insertions in the light by light scattering diagrams. This nonrecoil contribution turns out to be -2.63 Hz. The total contribution of all known corrections of order $\alpha^3(Z\alpha)E_F$ is equal to -4.28 Hz.