Neutral Higgs Boson Pair-Production and Trilinear Self-Couplings in the MSSM at ILC and CLIC Energies

Abstract

We study pair-production as well as the triple self-couplings of the neutral Higgs bosons of the Minimal Supersymmetric Standard Model (MSSM) at the Future International Linear $e^{+}{e}^{-}$ Collider (ILC) and Compact Linear Collider (CLIC). The analysis is based on the reactions $e^{+}{e}^{-}\to b\bar{b}{h}_i{h}_i,t\bar{t}{h}_i{h}_i$ with $h_i=h,H,A$. We evaluate the total cross-section for both $b\bar{b}{h}_i{h}_i$, $t\bar{t}{h}_i{h}_i$ and calculate the total number of events considering the complete set of Feynman diagrams at tree-level. We vary the triple couplings $\kappa {\lambda }_{hhh}$, $\kappa {\lambda }_{Hhh}$, $\kappa {\lambda }_{hAA}$, $\kappa {\lambda }_{HAA}$, $\kappa {\lambda }_{hHH}$ and $\kappa {\lambda }_{HHH}$ within the range $\kappa =-1$ and +2. The numerical computation is done for the energies expected at the ILC with a center-of-mass energy 500, 1000, 1600 $GeV$ and a luminosity 1000 $f{b}^{-1}$. The channels $e^{+}{e}^{-}\to b\bar{b}{h}_i{h}_i$ and $e^{+}{e}^{-}\to t\bar{t}{h}_i{h}_i$ are also discussed to a center-of-mass energy of 3 $TeV$ and luminosities of 1000 $f{b}^{-1}$ and 5000 $f{b}^{-1}$.

Comments: 26 pages, 11 figures