Pogonotomy is a noun that refers to the cutting of a beard. 

The Greek word pogon (POE gon) means ‘beard.’ That addition of tome (TOE me) meaning knife, gives us our word of the day, which basically means shaving off a beard. Although often used in a medical context, pogonotomy may be used in an everyday context as well. Example:

After years of having a long beard, pogonotomy made me look kind of odd. Maybe shaving off a beard isn’t such a good idea if you have a funny looking face.