I want to know if dimensional regularization has any issues if the theory has IR divergences or is scale invariant.

Does dimensional regularization see "all" kinds of divergences?

I mean - what does it *exactly* mean when one says that power law divergences and IR divergences disappear in the dimensional regularization. So is more regularization needed in general over and above dimensional regularization?

Does anything about the divergences get specially constrained if the theory is scale invariant?

I have often heard it being said that dimensional regularization "preserves" scale invariance.

This post imported from StackExchange Physics at 2014-08-07 15:39 (UCT), posted by SE-user user6818