In the agent output every process is present with the information which user started the process.
I found a rule called Process Discovery! Maybe it works like the service discovery! 
Host & Services Paramaters → Parameters for discovered services → Process Discovery
This ruleset defines criteria for automatically creating checks for running processes based upon what is running when the service discovery is done. These services will be created with default parameters. They will get critical when no process is running and OK otherwise. You can parameterize the check with the ruleset State and count of processes .