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Description
In this work, a field theory model containing a real scalar singlet and
an SU(2) symmetry preserving complex doublet is studied using the
method of lattice simulations. The model considers all quartic vertices
along with the Yukawa vertex between a real scalar singlet and an
SU(2) symmetry preserving complex doublet field. Machine learning is
used to extract representative functions of the field propagators, lattice
regulator, and the Yukawa vertex. In the considered renormalization
scheme the field propagators are found enhanced compared to their
respective tree level structure. It is found that mixing of operators
containing scalar singlet with SU(2) invariant field operators results in
0
+ states with a peculiar scarcity in hundreds of GeV s. The Yukawa
vertex shows weak dependence on the field momenta while the theory
remain interactive as found by the renormalized field propagators. The
impact of the real scalar quartic self interaction is found mitigated due
to other interaction vertices. The field expectation values exhibit a
certain classification despite no conclusive signal of phase transition.