Intermediate Scales in SUSY SO(10), b-τunification and Hot Dark Matter Neutrinos

Abstract

Considerations of massive neutrinos, baryogenesis as well as fermion mass textures in the grand unified theory framework provide strong motivations for supersymmetric(SUSY) SO(10) as the theory beyond the standard model. If one wants to simultaneously solve the strong CP problem via the Peccei-Quinn mechanism, the most natural way to implement it within the framework of the SUSY SO(10) model is to have an intermediate scale ($v_{BL}$) (corresponding to B-L symmetry breaking) around the invisible axion scale of about 10${}^{11}$ - 10${}^{12}$ GeV. Such a scale is also desirable if ${\nu }_{\tau }$ is to constitute the hot dark matter (HDM) of the universe. In this paper, we discuss examples of superstring inspired SUSY SO(10) models with intermediate scales that are consistent with the low energy precision measurements of the standard model gauge couplings. The hypothesis of $b-\tau$ unification which is a successful prediction of many grand unified theories is then required of these models and the resulting prediction of $b$-quark mass is used as a measure of viability of these schemes. Detailed analysis of a model with a $v_{BL}\simeq 10^{11}$ GeV, which satisfies both the requirements of invisible axion and ${\nu }_{\tau }$ as HDM is presented and shown to lead to $m_b\simeq 4.9$ GeV in the one-loop approximation.

Latex file; 20 pages; Four figures available on request

References in corpus (14)

• Heavy Quark Symmetry
• Predictive Neutrino Spectrum in Minimal $SO(10)$ Grand Unification
• Supersymmetric Grand Unified Theories: Two Loop Evolution of Gauge and Yukawa Couplings
• On the Unification of Couplings in the Minimal Supersymmetric Standard Model
• Natural Suppression of Higgsino-Mediated Proton Decay in Supersymmetric SO(10)
• A Systematic SO(10) Operator Analysis for Fermion Masses
• Finite Supersymmetric Threshold Corrections to CKM Matrix Elements in the Large $tan\beta$ Regime
• Flavor Unification and Discrete Nonabelian Symmetries
• Implications of Yukawa unification for the Higgs sector in supersymmetric grand-unified models
• Mass Matrix Textures From Superstring Inspired SO(10) Models
• SO(10) Grand Unification with a Low-Energy $M_R$
• Third Generation Effects on Fermion Mass Predictions in Supersymmetric Grand Unified Theories
• New Approach for the Construction of Fermion Mass Matrices in SO(10) SUSY GUTS
• Possible Candidates for SUSY SO(10) Model with an Intermediate Scale

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