Associated Production of $H^0\gamma$ or $H^0Z^0$ 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.