Pairs-Production of Higgs in Association with Bottom Quarks Pairs at $e^{+}{e}^{-}$ Colliders

Abstract

In a previous paper, we studied the Higgs pair production in the standard model with the reaction $e^{+}{e}^{-}\to t\bar{t}HH$. Based on this, we study the Higgs pair production via $e^{+}{e}^{-}\to b\bar{b}HH$. We evaluate the total cross section of $b\bar{b}HH$ and calculate the number total of events considering the complete set of Feynman diagrams at tree-level, and compare this process with the process $e^{+}{e}^{-}\to t\bar{t}HH$. The numerical computation is done for the energy which is expected to be available at a possible Next Linear $e^{+}{e}^{-}$ Collider with a center-of-mass energy $800,1000,1600$ $GeV$ and luminosity 1000 $f{b}^{-1}$.

12 pages, 6 figures