
TL;DR
This paper proposes a theoretical framework involving family gauge symmetry to explain and stabilize Koide's mass formula for charged leptons, suggesting unification with electroweak symmetry at high energy scales.
Contribution
It introduces a novel mechanism to cancel QED corrections to Koide's formula within a U(3) family gauge symmetry model, unifying it with SU(2)_L at high energies.
Findings
Mechanism for cancelling QED corrections to lepton mass relation
Unified gauge symmetry model at 10^2-10^3 TeV scale
Potential explanation for the precision of Koide's formula
Abstract
Koide's mass formula is an empirical relation among the charged lepton masses which holds with a striking precision. We propose a mechanism for cancelling the QED correction to Koide's formula. This is discussed in an effective theory with U(3) family gauge symmetry and a scenario in which this symmetry is unified with SU(2)_L symmetry at 10^2-10^3 TeV scale.
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