The Phase Diagram of a U ( 1 ) Higgs - Yukawa Model at Finite λ

In this paper we investigate how the phase diagram of a U(1) symmetric HiggsYukawa system depends on the scalar self coupling λ. The phase diagram of similar models with continuous symmetry were extensively studied in the infinite scalar self coupling λ = ∞ limit. Recent analytical and numerical calculations at zero self coupling showed qualitatively different phase diagram, raising the question of the λ dependence of the phase diagram. Here we use analytical (large Nf , perturbative and mean field) approximations as well as numerical simulations to investigate the system. Research supported under contract number DE-AC02-76CH00016 with the U.S. Department of Eneregy. Accordingly, the U.S. Government retains a non-exclusive, royalty-free license to publish or reproduce the published form of this contribution, or allow others to do so, for U.S. Government purposes.