Topic:Eclectic Flavor Groups

Speaker: Prof. Caichang Li

Coordinates: PCFT C1124, 16:00, Thursday, July 31

Abstract: Understanding the origin of fermion masses and mixing patterns is a greatest challenge in particle physics. Modular invariance as flavor symmetry is an exciting new approach to the flavor problem. However, there are still some unsolved problems such as modulus stabilization and the issue of less constrained Kähler potential in modular flavor symmetry. On the other hand, in the framework of traditional flavor symmetries the Kähler potential is under control. The concept of eclectic flavor group (EFG) originated in top-down model building motivated by string theory. It is a nontrivial product of traditional flavor symmetry and modular symmetry, and allows us to combine the advantages of modular symmetries and traditional flavor symmetries while avoiding their limitations, the superpotential and the Kähler potential are both severely restricted at the same time. We develop methods to determine the EFGs that can be consistently associated with a given traditional flavor symmetry in a bottom-up way. Furthermore, we discuss the consistency conditions between EFG and generalized CP (gCP) symmetry.