  Discovery of the Higgs boson decay to dimuon is anticipated soon based on the
current evidence. Precise categorization of the events without affecting the
invariant mass shape is crucial in the analysis. Decorrelation of the invariant
mass and the output of discriminators (the score of discriminators) is
essential for consistent and precise analysis. In this paper we use distance
correlation as the additional loss function to achieve the decorrelation for
discriminators and examine various analysis methods. The analyses with and
without jet substructure variables are presented. Adding jet substructure
variables considerably improves the significance of the Higgs to dimuon signal
from gluon fusion.
