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.
On the impact of kinetic mixing in beta functions at two-loop
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abstract
Kinetic mixing is a fundamental property of models with a gauge symmetry involving several $\mathrm{U}(1)$ group factors. In this paper, we perform a numerical study of the impact of kinetic mixing on beta functions at two-loop. To do so, we use the recently published PyR@TE 2 software to derive the complete set of RGEs of the SM B-L model at two-loop including kinetic mixing. We show that it is important to properly account for kinetic mixing as the evolution of the parameters with the energy scale can change drastically. In some cases, these modifications can even lead to a different conclusion regarding the stability of the scalar potential.
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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.