Fermion Masses in a Supersymmetric SU(4)xSU(2)_LxSU(2)_R Model

Abstract

We calculate quark and lepton masses and quark mixing angles in the framework of a supersymmetric SU(4)$\otimes$SU(2)${}_L\otimes$SU(2)${}_R$ model where the gauge group is broken at 10${}^{16}$ GeV. The model predicts third family top-bottom-tau Yukawa unification, as in minimal SO(10). The other smaller Yukawa couplings are assumed to arise from non-renormalisable operators suppressed by powers of some heavy scale. We perform a systematic operator analysis of the model in order to find the minimum set of operators which describe the low energy quark and lepton masses, and quark mixing angles consistent with low-energy phenomenology. A novel feature of the model is the possibility of asymmetric texture zeroes in the Yukawa matrices at the scale of the new physics. Successful predictions are obtained for $m_t$, $\tan \beta$, $m_s/m_{\mu }$, $m_d/m_e$ and $V_{ub}$ in terms of a CP violating phase $\varphi$. For example, we predict $\tan \beta =35-65$, $m_t=130-190$ GeV, and $|V_{ub}|>0.0040$.

Replaced version to appear in Nucl. Phys. B. Typos and other minor revisions. pages, uses epsf.sty, Latex. 13 uuencoded figures must be unpacked first (instructions at start of file.)

References in corpus (8)

• Electroweak Symmetry Breaking and Bottom-Top Yukawa Unification
• Evidence for Top Quark Production in $\bar{p}p$ Collisions at $\sqrt{s}=1.8$ TeV
• Supersymmetric Grand Unified Theories: Two Loop Evolution of Gauge and Yukawa Couplings
• Stitching the Yukawa Quilt
• A Systematic SO(10) Operator Analysis for Fermion Masses
• Mass and mixing angle patterns in the Standard Model and its Minimal Supersymmetric Extension
• Mass Matrix Textures From Superstring Inspired SO(10) Models
• Bottom-Tau Yukawa Unification in the Next-to-Minimal Supersymmetric Standard Model

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