Bound states of scalar bosons in extensions of the Standard Model

Abstract

We explore systematically, in a general two Higgs doublet model, the possibility that bound systems of scalar bosons do exist. We find a wide region of parameter space in the scalar potential for which S-wave bound states of Higgs bosons do indeed exist. On the contrary we show that the Minimal Supersimmetric Standard Model does not admit such bound systems.

Higgs and W boson spectrum from lattice simulations

“…Therefore a thorough lattice study of the spectrum will always involve many states appearing with many different quantum numbers. In general, these could be bound states and/or scattering states, and there is a history of nonlattice attempts to determine whether a pair of Higgs bosons might form a bound state [25][26][27][28][29][30][31][32].…”

Light Higgs bosons from a strongly interacting Higgs sector

“…However, if nature had chosen for a strongly interacting boson, the physics would be richer and more interesting. Actually, the physics of such a strongly interacting Higgs boson has been explored in the last twenty years, and interesting proposals have been discussed ranging from the existence of bound states [2][3][4][5][6][7][8] to unconventional descriptions of the symmetry breaking mechanism [9].…”

Higgs andWboson spectrum from lattice simulations

“…Therefore a thorough lattice study of the spectrum will always involve many states appearing with many different quantum numbers. In general, these could be bound states and/or scattering states, and there is a history of nonlattice attempts to determine whether a pair of Higgs bosons might form a bound state [25][26][27][28][29][30][31][32].…”