LAUSR

Abstract The objective of this study is to correlate the scaling factor of the Standard Model (SM) like Higgs boson and the cross section ratio of the process e+e− → hhff where f 6= t, normalized to SM predictions in the type I of the Two Higgs Doublet Model. All calculations have been performed at √ s = 500 GeV and 1 ≤ tanβ ≤ 30 for masses mH = mA = mH± = 300GeV and mH = 300 GeV, mA = mH± = 500 GeV. The working scenario is by taking without alignment limit, that is sβ−α = 0.98 and sβ−α = 0.99, 0.995, which gives the enhancement in the cross section, particularly a few times greater than the predictions of the SM due to resonant-impacts of the additional heavy neutral Higgs bosons. This shows that enhancement in cross section occurs on leaving the alignment i.e., sβ−α = 1, at which all the higgs that couple to vector bosons and fermions have the same values as in SM at tree level. A large value of enhancement factor is obtained at sβ−α = 0.98 compared to sβ−α = 0.99, 0.995. Furthermore, the decrease in the enhancement factor is observed for the case when mH = 300 GeV, mA = mH± = 500 GeV. The behavior of the scaling factor with tanβ is also studied, which shows that for large values of tanβ, the scaling factor becomes equal to sβ−α. Finally a convincing correlation is achieved by taking into account, the experimental and theoretical constraints e.g, perturbative unitarity, vacuum stability and electroweak oblique parameters.