Regular Article - Theoretical Physics
A simplified scheme for GUT-inspired theories with multiple Abelian factors
Physikalisches Institut, University of Freiburg, 79104, Freiburg, Germany
2 Theory Group, DESY Hamburg, 22603, Hamburg, Germany
* e-mail: firstname.lastname@example.org
Revised: 16 January 2012
Published online: 16 February 2012
Grand Unified Theories often involve additional Abelian group factors, apart from the standard model hypercharge, that generally lead to loop-induced mixing gauge-kinetic terms. In this letter, we show that at the one-loop level this effect can be avoided in many cases by a suitable choice of basis in group space and present a general scheme for the construction of this basis.
In supersymmetric theories, however, a residual mixing in the soft SUSY breaking gaugino mass terms may appear. We generalize the renormalization group equations for the gaugino mass terms to account for this effect. In a further calculation we also present the necessary adjustments in the renormalization group equations of the trilinear soft-breaking couplings and the soft-breaking scalar mass squares.
© Springer-Verlag / Società Italiana di Fisica, 2012