Amelioration of the little hierarchy problem in $SU(4{)}_{c}\ifmmode\times\else\texttimes\fi{}SU(2{)}_{L}\ifmmode\times\else\texttimes\fi{}SU(2{)}_{R}$

Amelioration of the little hierarchy problem in $S U (4)_{c} \times S U (2)_{L} \times S U (2)_{R}$

Ilia Gogoladze, Mansoor Ur Rehman, and Qaisar Shafi

Phys. Rev. D 80, 105002 – Published 5 November 2009

Abstract

The little hierarchy problem encountered in the constrained minimal supersymmetric model can be ameliorated in supersymmetric models based on the gauge symmetry $G_{422} \equiv S U (4)_{c} \times S U (2)_{L} \times S U (2)_{R}$ . The standard assumption in the constrained minimal supersymmetric model [and in $S U (5)$ and $S O (10)$ ] of universal gaugino masses can be relaxed in $S U (4)_{c} \times S U (2)_{L} \times S U (2)_{R}$ , and this leads to a significant improvement in the degree of fine-tuning required to implement radiative electroweak breaking in the presence of a characteristic supersymmetry breaking scale of around a TeV. Examples of Higgs and sparticle mass spectra realized with 10% fine-tuning are presented.