Abstract
We study a system of two Higgs particles, interacting via a scalar Dark Matter mediating field. The variational method in the Hamiltonian formalism of QFT is used to derive relativistic wave equations for the two-Higgs system, using a truncated Fock-space trial state. Approximate solutions of the two-body equations are used to examine the existence of Higgs bound states.
Highlights
(energy) component of the equation is generally impossible to solve
Higgs particles interacting via a scalar Dark Matter field
We study a system of two Higgs particles, interacting via a scalar Dark Matter mediating field
Summary
(energy) component of the equation is generally impossible to solve. Approximate solutions can be obtained using the variational principle δΨtrial|H − E|Ψtrial t=0 = 0 where His normal ordered, and |Ψtrial is a suitable trial state. Higgs particles interacting via a scalar Dark Matter field We study a system of two Higgs particles, interacting via a scalar Dark Matter mediating field. The variational method in the Hamiltonian formalism of QFT is used to derive relativistic wave equations for the two-Higgs system, using a truncated Fockspace trial state.
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