Kinetic and mass mixing with three abelian groups
Abstract
We present the possible mixing effects associated with the low-energy limit of a Standard-Model extension by two abelian gauge groups U(1)1 x U(1)2. We derive general formulae and approximate expressions that connect the gauge eigenstates to the mass eigenstates. Applications using the well-studied groups U(1)B, U(1)(B-L), U(1)(Lalpha - Lbeta) (Lalpha being lepton flavor numbers), and U(1)DM (a symmetry acting only on the dark matter sector) are discussed briefly.
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