Speaker
Description
Renormalization group (RG) evolution is a fundamental feature of quantum field theory, playing a pivotal role in both its formal structures and phenomenological applications in particle physics and beyond. While the framework for calculating RG flows is well established, unexpected patterns continue to emerge. In this talk, I will leverage fundamental principles—unitarity and analyticity—to constrain a large sector of RG evolution in effective field theory. This result can be understood as an infrared avatar of positivity bounds. For phenomenological applications, I will discuss examples in the context of the SMEFT. For the second half of the talk, I will discuss the analogous cases of Love numbers renormalization for classical black holes and neutron stars. In both quantum and classical EFTs, the RG evolution exhibits an interesting positive direction.
