Ultraviolet and Infrared Divergences in Implicit Regularization: a Consistent Approach

Understand

Implicit Regularization is a 4-dimensional regularization initially conceived to treat ultraviolet divergences.

• It has been successfully tested in several instances in the literature, more specifically in those where Dimensional Regularization does not apply.
• In the present contribution we extend the method to handle infrared divergences as well.
• We show that the essential steps which rendered Implicit Regularization adequate in the case of ultraviolet divergences have their counterpart for infrared ones.