Associated Production of $H^0\gamma$ or $H^0{Z}^0$ pairs at ${\mu }^{+}{\mu }^{-}$ Collisions

Abstract

We calculate the cross-sections for the production of Standard Model Higgs Boson in association with the neutral gauge bosons (photon and Z--boson). For the case of reaction ${\mu }^{+}{\mu }^{-}\to \gamma H^0$, complete and compact analytical expressions for the differential and total cross--sections, applicable also for the case of any (pseudo)scalar particle with mass-coupling proportionality, in particulary, for an axion are given. Reaction ${\mu }^{+}{\mu }^{-}\to Z^0{H}^0$ is some "generalization" of the well-known "Bjorken process" for the case of $e^{+}{e}^{-}$ collisions. Various distributions for both the processes above are illustrated for the energies, which will be reached at future ${\mu }^{+}{\mu }^{-}$ colliders. Study of those processes will be evidently complementary to the precision measurements at the Higgs resonance region.

Comments: 13 pages, Latex file