Constraints on two Higgs doublet models from domain walls

Abstract

We show that there is a constraint on the parameter space of two Higgs doublet models that comes from the existence of the stable vortex-domain wall systems. The constraint is quite universal in the sense that it depends on only two combinations of Lagrangian parameters and does not depend on how fermions couple to two Higgs fields. Numerical solutions of field configurations of domain wall-vortex system are obtained, which provide a basis for further quantitative study of cosmology which involve such topological objects.

11 pages, 5 figures. v2: Discussion on the constraint on the mass of the CP-odd Higgs boson, that contained an error in v1, was removed. The title of the paper has been changed accordingly. Other parts, that are unaffected by the error, were refined as well. v3 matches published version in Phys. Lett. B

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