Google Search shows it to be a process of WebRoot Spysweeper. I just noticed this process a few hours after installing Spysweeper.
Ray
ssu.exe is a process belonging to Webroot Spy Sweeper which protects your computer against Internet-bound threats such as spyware and trojans which can be distributed through e-mail or attack directly to the computer allowing unauthorized access to your computer. This program is important for the stable and secure running of your computer and should not be terminated. More information
TheLoamranger
ssu.exe belongs to SpySweeper by webroot as forementioned. GREAT program for keeping all kinda of nasties off your system. Definately DO NOT stop this one!