Measurement of the Coupling Constant of the Higgs Boson with a tt¯$$ \\overline{tt} $$ Heavy Quark Pair

Abstract

The process of production of a Higgs boson HSM of the Standard Model (the H , h , and A bosons of the Minimal Supersymmetric Standard Model) and a tt¯$$ \\overline{tt} $$ heavy fermion pair in arbitrarily polarized electronpositron beams e−e+→HSMtt¯e−e+→Htt¯e−e+→htt¯ande−e+→Att¯$$ {e}^{-}{e}^{+}\\to {H}_{SM}\\overline{tt}\\left({e}^{-}{e}^{+}\\to H\\overline{tt},{e}^{-}{e}^{+}\\to h\\overline{tt}, and\\;{e}^{-}{e}^{+}\\to A\\overline{tt}\\right) $$ is investigated. Analytical expressions for the differential cross sections of the processes are obtained, peculiarities of the behavior of the cross sections as functions of the energies and emission angles of the particles are investigated, and the possibility of measuring the coupling constant of the Higgs boson with a tt¯$$ \\overline{tt} $$ quark pair is discussed.