Electron g−2

Electron anomalous moment — DCT inherits SM at electron mass.

Prediction	\(a_e\) inherits SM-QED to 5 loops; DCT correction suppressed by \(m_e^2/m_\mu^2\)
Measured	\(a_e = 1159652180.59(13) \times 10^{-12}\) (Harvard 2023)
Residual	0.4σ
Status	Tied
Source paper	DCT-SM-01

Mechanism

The DCT scalar-tie contribution to lepton \(g - 2\) scales as \(m_\ell^2\); for the electron this is suppressed by \(m_e^2/m_\mu^2 \approx 2 \times 10^{-5}\) relative to the muon case, putting it well below the current experimental precision. The DCT prediction matches the SM-QED 5-loop value at \(0.4\sigma\).

Derivation

The one-loop scalar-tie correction \(\Delta a_\ell \propto m_\ell^2\) (DCT-SM-01) gives \(\Delta a_e \sim 5 \times 10^{-14}\), 25× below the current experimental uncertainty. DCT inherits the SM-QED 5-loop prediction \(a_e^{\rm SM} = 1159652181.61 \times 10^{-12}\) at the relevant precision.

Python verification

The verification script for this observable is particle_physics_tests.py. Run it with python3 particle_physics_tests.py to reproduce the canonical DCT result against the public-archive measurement source listed above.

References

Particle Data Group 2024
Source paper: DCT-SM-01

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