Study of the Process of Higgs Bosons AhH Production in Polarized e-e+ Annihilation
Within the framework of the Minimal Supersymmetric Standard Model, the production of three Higgs bosons AhH in the reaction e-e+ ⇢ AhH with arbitrary polarization of electron-positron beams is studied. Analytical expressions for the amplitude and differential effective cross section of the process are obtained. The left-right (ALR) and transverse (Aφ) spin asymmetries, caused by the longitudinal and transverse spin states of the electron-positron pair, respectively, are calculated. A detailed analysis of the behavior of the spin asymmetries and the differential effective cross section as functions of the emission angles and energies of the final particles is performed. It is established that the left-right asymmetry ALR is determined solely by the value of the Weinberg parameter xW = sin2θw, while the transverse spin asymmetry Aφ is a complex function of the emission angles (θA, θ1, θ2) and scaling energies (xA, x1, x2) of the Higgs bosons. The possibility of experimentally determining the constants of three-boson interactions: λHhh, λHHh, λHAA and λhAA is discussed.