A covariant non-canonical kinetic term formulation for two U(1) models yields simple two-loop MSbar RGEs and reparametrization-invariant quantities linked to millicharges.
Two Loop Renormalization Group Equations in a General Quantum Field Theory. 2. Yukawa Couplings,
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Renormalisation and invariants for two U(1)s
A covariant non-canonical kinetic term formulation for two U(1) models yields simple two-loop MSbar RGEs and reparametrization-invariant quantities linked to millicharges.