C. Supersymmetry (SUSY) The SM physics has number of pressing issues, the most compelling one is the quadrati- cally divergent contributions to the Higgs mass, which arise in one-loop computation from the fermion contribution and quartic self interaction of the Higgs boson. The quadratic di- vergence is independent of the mass of the Higgs boson and cancel, exactly if λ$_{s}$ = λ 2 $_{f}$, where λ$_{f}$ is the fermion Yukawa and λ$_{s}$ is the quartic scalar coupling. However this procedure fails at 2-loops and one requires fine tuning of the couplings order by order in perturbations to a precision of roughly one part in 10 17 (for the scale of gravity at M$_{P}$ ∼ 10 18 GeV), often known as the hierarchy problem or the naturalness problem . In SUSY, there is a scalar of same mass associated with every fermion and the couplings are such that λ$_{s}$ = λ 2 $_{f}$. The electroweak symmetry is still broken by the Higgs mechanism, but the quadratic divergences in the scalar sector are absent. The minimal extension of the SM in SUSY is known as MSSM (minimal SUSY SM). The matter fields of N = 1 SUSY are chiral superfields Φ = φ + √$_{2}$$_{θψ}$ + θθF , which describe a scalar φ , a fermion ψ and a scalar auxiliary field F . The SUSY scalar potential V is the sum of the F - and D -terms are: V = ∑ i | F$_{i}$ | 2 + 1 2 ∑ a g 2 $_{a}$D$^{a}$D a (101) F$_{i}$ ≡ ∂W ∂φ$_{i}$ , D a = $_{φ}$†$_{T}$ $^{a}$φ , (102) where where W is the superpotential, and we have assumed that φ$_{i}$ transforms under a gauge group G with the generators of the Lie algebra given by T $^{a}$. Note that all the kinetic energy terms are included in the D -term. In addition to the usual quark and lepton superfields, MSSM has two Higgs fields, H$_{u}$ and H$_{d}$ . Two Higgses are needed because H † is forbidden in the superpotential. The superpotential for the MSSM is given by, see [31, 32, 34, 35] 1. Minimal Supersymmetric Standard Model (MSSM) W$_{MSSM}$ = λ$_{u}$QH$_{u}$u + λ$_{d}$QH$_{d}$d + λ$_{e}$LH$_{d}$e + µH$_{u}$H$_{d}$ , (103) 47