Could be several things which are not fun to fix. If it's still under warranty, let your dealer fix it.
Best case, is something above the pump is leaking (or blowing onto the pump). Next best case, you have a lose water pump screw, the gasket is leaking, and a quarter turn of the screw will fix it. More likely case, the water pump shaft seal is leaking and the coolant is coming out the weep hole. It looks like you can buy just this seal (Item #5) but you can also get the whole pump:
OEM Parts
Replacing the seal requires removing the water pump and maybe special tools to remove and replace the seal (in most cars these days people just replace the whole pump). Then you re-install with a new gasket. This job is fraught with peril because screws can seize or break and cleaning off the old gasket is always a mess. Not to mention horrible access and the need to remove fan, possibly the radiator, and maybe the loader.
Hopefully you are still under warranty.