Abstract
We study the response of the electron mass to an externally applied electrical field. As a consequence of nonlinear electromagnetic (EM) effective action, the mass of a particle diminishes in the presence of an externally applied electric field. We consider modification of the muon anomalous magnetic moment $g-2$ due to electron loop insert in higher order. Since the virtual electron pair is in close proximity to the muon, it experiences strong field phenomena. We show that the current theory-experiment muon $g-2$ discrepancy could originate in the (virtual) electron mass \textit{non-perturbative} modification by the strong muon EM field. The magnitude of the electron mass modification can be also assessed via enhancement of $e^+e^-$-pair production in strong fields.
Highlights
The Higgs minimal coupling mass generating mechanism of heavy, beyond GeV mass scale, elementary particles is well established
The origin of the lightest standard model (SM) electron mass is not expected to be resolved experimentally in the near future: the LHC ppcollider is capable of constraining the minimal coupling to factor ∼100 above the predicted SM value, and generation eþe−-colliders are limited to factor ∼10 above the required sensitivity [1]
This is based on the observation that a negligible in magnitude beyond SM (BSM) component is irrelevant, while the Higgs mass component can respond to external EM field strengths of electro-weak natural strength, inaccessible today
Summary
The Higgs minimal coupling mass generating mechanism of heavy, beyond GeV mass scale, elementary particles is well established. The model is tailored to match closely to the QED effective Euler-Heisenberg-Schwinger (EHS) action [7,8,9,10] for quasiconstant fields up to the EHS field strength, and contains an adjustable parameter that allows for probing of the relation between EM and non-EM components of electron mass. We show that our model mass melting of the electron by the field of the muon is capable to explain the observed theory-experiment g − 2 discrepancy [11] Another experimental process highly sensitive to the value of the electron mass is the QED vacuum decay into electron-positron pairs, see Sec. V B. We close this paper with an outline of future research opportunities
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