Process.GetProcesses() and User Privilege

I have a VS 2003 C# application that works fine in most environments.  It has recently been installed in a corporate environment (WinXP / Server 2003) where the user workstations are pretty well 'tightened-down' from a security point of view.  The application makes use of Process.GetProcesses() and it appears that the application throws an exception when this is called due to insufficient privilege.  So my question is -- from a security perspective, what changes in groups or policy (or whatever) need to be made such that Process.GetProcesses() will not throw?  Obviously, making everyone an admin would solve the problem, but I am looking for something a bit more targeted and minimalistic that will keep their administrator happy.

Thanks!