Correlation Between the Scaling Factor of the Yukawa Coupling and Cross Section for the ee→ hhff¯ (f≠t) in Type-I 2HDM

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 ee→ hhff¯ where f≠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 m = 300 GeV, mA=mH±=500 GeV. The working scenario is by taking without alignment limit, that is s = 0.98 and s = 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., s = 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 s = 0.98 as compared to s = 0.99, 0.995. Furthermore, the decrease in the enhancement factor is observed for the case when m = 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 s. 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.