You can say Perchtenlauf in german and maybe put procession in English afterwards or you could say Perchten procession. It depends on the likelihood of your audience knowing what this is.

Originally, the word Perchten (plural of Perchta) referred to the female masks representing the entourage of Frau Bercht or Pehta baba as is known in Slovenia, an ancient goddess (some claim a connection to the nordic goddess Freyja, though this is uncertain). Traditionally, the masks were displayed in processions (Perchtenlauf) during the last week of December and first week of January, and particularly on the 6th of January. The costume consists of a brown wooden mask and brown or white sheep's skin. In recent times Krampus and Perchten have increasingly been displayed in a single event, leading to a loss of distinction of the two. Perchten are associated with midwinter and the embodiment of fate and the souls of the dead. The name originates form the Old High German word peraht, or brilliant, meant as a warning against the sin of vanity.

http://64.233.183.104/search?q=cache:UiWxPrFP1ycJ:en.wikiped...

is how Muret-Sanders puts it.
MS goes on to say for Perchten = "Austrian dial. young men who wander about between Christmas and Epiphany wearing masks"