Abstract
Recently a Higgs like particle is reported to be discovered at CMS and ATLAS experiments at CERN LHC with a mass of about 125 GeV. The aim of this paper is to study the theoretical upper bound of lightest CP even Higgs mass in MSSM, NMSSM and ESSM. Although at this moment it is not possible to conclude whether the observed Higgs like particle is Standard Model Higgs or Supersymmetric one, yet the present paper comes to the conclusion that it is possible to accommodate ~125 GeV Higgs mass within MSSM, NMSSM and ESSM.
Highlights
The main reason for introducing low energy supersymmetric theories in particle physics was, their ability to solve the naturalness and hierarchy problems [1]
Supersymmetry prevents the Higgs boson mass from acquiring very large radiative corrections: the quadratic divergent loop contributions of the SM [2] particles to the Higgs mass squared are exactly cancelled by the corresponding loop contributions of their supersymmetric partners
The super potential of the NMSSM remains invariant under a discrete symmetry which, when broken at the weak scale, leads to the formation of domain walls in the early universe, which are inconsistent with modern cosmology
Summary
The main reason for introducing low energy supersymmetric theories in particle physics was, their ability to solve the naturalness and hierarchy problems [1]. Supersymmetry prevents the Higgs boson mass from acquiring very large radiative corrections: the quadratic divergent loop contributions of the SM [2] particles to the Higgs mass squared are exactly cancelled by the corresponding loop contributions of their supersymmetric partners. This cancellation stabilizes the huge hierarchy between the GUT and electroweak scale and no extreme finetuning is required. It enters the Higgs potential with the soft scalar masses to determine the vacuum expectation value of the Higgs fields This parameter has to be adjusted by hand to a value at the electroweak scale, in order to provide the correct pattern of electroweak symmetry breaking. The Exceptional Supersymmetric Standard Model (ESSM) [11, 12] is an inspired Supersymmetric model with an extra (1) gauge symmetry which solves the μ problem of the MSSM in a similar way to the NMSSM, but without the accompanying problems of singlet tadpoles or domain walls
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