Flavor symmetry based MSSM: Theoretical models and phenomenological analysis

K. S. Babu, Ilia Gogoladze, Shabbar Raza, and Qaisar Shafi
Phys. Rev. D 90, 056001 – Published 3 September 2014

Abstract

We present a class of supersymmetric models in which symmetry considerations alone dictate the form of the soft SUSY breaking Lagrangian. We develop a class of minimal models, denoted as sMSSM—for flavor symmetry-based minimal supersymmetric standard model—that respect a grand unified symmetry such as SO(10) and a non-Abelian flavor symmetry H which suppresses SUSY-induced flavor violation. Explicit examples are constructed with the flavor symmetry being gauged SU(2)H and SO(3)H with the three families transforming as 2+1 and 3 representations, respectively. A simple solution is found in the case of SU(2)H for suppressing the flavor violating D–terms based on an exchange symmetry. Explicit models based on SO(3)H without the D–term problem are developed. In addition, models based on discrete non-Abelian flavor groups are presented which are automatically free from D–term issues. The permutation group S3 with a 2+1 family assignment, as well as the tetrahedral group A4 with a 3 assignment are studied. In all cases, a simple solution to the SUSY CP problem is found, based on spontaneous CP violation leading to a complex quark mixing matrix. We develop the phenomenology of the resulting sMSSM, which is controlled by seven soft SUSY breaking parameters for both the 2+1 assignment and the 3 assignment of fermion families. These models are special cases of the phenomenological MSSM (pMSSM), but with symmetry restrictions. We discuss the parameter space of sMSSM compatible with LHC searches, B-physics constraints and dark matter relic abundance. Fine-tuning in these models is relatively mild, since all SUSY particles can have masses below about 3 TeV.

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  • Received 7 July 2014

DOI:https://doi.org/10.1103/PhysRevD.90.056001

© 2014 American Physical Society

Authors & Affiliations

K. S. Babu1,*, Ilia Gogoladze2,†, Shabbar Raza3,‡, and Qaisar Shafi2,§

  • 1Department of Physics, Oklahoma State University, Stillwater, Oklahoma 74078, USA
  • 2Bartol Research Institute, Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA
  • 3State Key Laboratory of Theoretical Physics and Kavli Institute of Theoretical Physics China (KITPC), Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China

  • *babu@okstate.edu
  • ilia@bartol.udel.edu
  • shabbar@itp.ac.cn
  • §shafi@bartol.udel.edu

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Issue

Vol. 90, Iss. 5 — 1 September 2014

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