Supersymmetric grand unified theories: Two loop evolution of gauge and Yukawa couplings
Sep, 1992
57 pages
Published in:
- Phys.Rev.D 47 (1993) 1093-1113
e-Print:
- hep-ph/9209232 [hep-ph]
Report number:
- MAD-PH-711
Citations per year
Abstract:
We make a numerical study of gauge and Yukawa unification in supersymmetric grand unified models and examine the quantitative implications of fermion mass ans\"{a}tze at the grand unified scale. Integrating the renormalization group equations with and as inputs, we find for and for TeV at one-loop (two-loop) order. Including and Yukawa couplings in the evolution, we find an upper limit m_t\ltap 200 GeV from Yukawa unification. For given m_t\ltap 175 GeV, there are two solutions for , one with , and one with . Taking a popular ansatz for the mass matrices at the unified scale, we obtain a lower limit on the top quark mass of m_t\gtap 150 (115) GeV for and an upper limit on the supersymmetry parameter \tan \beta \ltap 50 if . The evolution of the quark mixing matrix elements is also evaluated.- supersymmetry
- grand unified theory
- fermion: mass
- mass: fermion
- coupling: Yukawa
- Yukawa: coupling
- renormalization group
- CKM matrix matrix
- numerical calculations: interpretation of experiments
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