GOOFy fermions

TL;DR

This paper explores a new class of symmetries in two Higgs doublet models, establishing fermion transformations and discovering parameter regions invariant under all-order renormalization.

Contribution

It defines fermion field transformations compatible with the new symmetries and identifies invariant parameter space regions including scalar-fermion interactions.

Findings

New symmetry-compatible fermion transformations

Discovery of parameter regions invariant under all-order renormalization

Inclusion of scalar-fermion interactions in invariant regions

Abstract

A new class of symmetries of two Higgs doublet models was recently discovered, the result of an unorthodox transformation on scalar and gauge fields and spacetime coordinates. It was explicitly shown that it is possible to choose Yukawa matrix textures which respect those symmetries up to two-loops. In this work we will establish the fermion field transformations for the two Higgs doublet models to be considered in the context of the new symmetries established. New regions of parameter space, invariant under renormalization to all orders of perturbation theory, are discovered, including scalar-fermion interactions.