Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-08-17
Phys.Rev. D63 (2001) 015010
Physics
High Energy Physics
High Energy Physics - Phenomenology
References added. 82 pages, 57 figures, Latex
Scientific paper
10.1103/PhysRevD.63.015010
We study Yukawa unification, including the effects of a physical neutrino mass consistent with the Superkamiokande observations, in a string/$D$-brane inspired Pati-Salam model which allows the most general non-universal scalar and gaugino masses, including the usual $D$-term contributions which arise in SO(10). We investigate how the tight constraints from rare decays such as $b \to s \gamma$ and $\tau \to \mu \gamma$ can provide information about the family dependent supersymmetry breaking soft Lagrangian, for example the trilinears associated with the second and third family. Many of our results also apply to SO(10) to which the model approximately reduces in a limiting case. In both models we find that Yukawa unification is perfectly viable providing the non-universal soft masses have particular patterns. In this sense Yukawa unification acts as a window into the soft supersymmetry breaking Lagrangian.
King Stephen F.
Oliveira M.
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