Yukawa unification in SO(10)

By T. Blazek, R. Dermisek, S. Raby. 2002

145 citations recorded by the source corpus.

In simple SO(10) SUSY GUTs the top, bottom and tau Yukawa couplings unify at the GUT scale. A naive renormalization group analysis, neglecting weak scale threshold corrections, leads to moderate agreement with the low energy data. However, it is known that intrinsically large threshold corrections proportional to $\mathrm{tan}\ensuremath{\beta}\ensuremath{\sim}{m}_{t}{(M}_{Z}{)/m}_{b}{(M}_{Z})\ensuremath{\sim}50$ can nullify these t, b, \ensuremath{\tau} mass predictions. In this paper we turn the argument around. Instead of predicting fermion masses, we use the constraint of Yukawa unification and the observed values ${M}_{t},$ ${m}_{b}{(m}_{b}),$ ${M}_{\ensuremath{\tau}}$ to constrain SUSY parameter space. We find a narrow region survives for $\ensuremath{\mu}g0$ with $\ensuremath{\mu},$ ${M}_{1/2}\ensuremath{\ll}{m}_{16},$ ${A}_{0}\ensuremath{\approx}\ensuremath{-}1.9{m}_{16}$ and ${m}_{16}g1200 \mathrm{GeV}.$ Demanding Yukawa unification thus makes definite predictions for Higgs boson and sparticle masses. In particular, we find a light Higgs boson with a mass ${m}_{h}^{0}=114\ifmmode\pm\else\textpm\fi{}5\ifmmode\pm\else\textpm\fi{}3 \mathrm{GeV}$ and a light top squark with ${(m}_{{t}_{1}}{)}_{\mathrm{MIN}}\ensuremath{\sim}450 \mathrm{GeV}$ and ${m}_{{t}_{1}}\ensuremath{\ll}{m}_{{b}_{1}}.$ In addition, we find a light chargino and a neutralino LSP. It is also significant that in this region of parameter space the SUSY contribution to the muon anomalous magnetic moment ${a}_{\ensuremath{\mu}}^{\mathrm{SUSY}}l16\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}10}.$

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f208abc1651603b30b1904ac323b5c83be777920

Citations in the corpus