Prospects for direct CP tests of hqq interactions

We study the prospects for probing CP structure of $hqq$ interactions using decays lightest baryon $\Lambda_q$ formed in quark's hadronization. The low yields reconstructible events make it unlikely tests to be performed with next generation colliders. In $h\to b\bar b\to \Lambda_b \bar\Lambda_b$ a CP-sensitive distribution could measured high-luminosity $e^+ e^-$ collider, while both and c\bar c\to \Lambda_c \bar\Lambda_c$ such very high luminosity $\mu^+ \mu^-$ collider. However, we find that only collider can produce enough probe physical asymmetry $hbb$ vertex.