Renormalization Group Equations in Gauge Theories with Multiple U(1) Groups
arXiv:hep-ph/0212152 · doi:10.1016/S0370-2693(03)00076-5
Abstract
Two-loop renormalization group equations in gauge theories with multiple U(1) groups are presented. Instead of normalizing the abelian gauge fields in canonical forms, we retain kinetic-mixing terms and treat the mixing coefficients as free parameters. The beta- and gamma-functions are then obtained in a straightforward manner.
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