Some approximate renormalization group invariants for supersymmetric extensions of the Standard Model and the Yukawa unification

Abstract

For supersymmetric extensions of the Standard Model we construct some expressions that include Yukawa couplings for the third and second generations and receive relatively small quantum corrections. This implies that they slightly depend on scale and are therefore approximate renormalization group invariants. Using these invariants we try to analyse possible relations between the Yukawa couplings at the unification scale $M_X$ for some values of $\mbox{tg}\,β$ for the MSSM and its extensions containing certain additional superfields forming complete $SU(5)$ multiplets.

arXiv comment50 pages, 8 figures, 3 tables, major revision, the version accepted for publication in JHEP