  As a small step toward understanding the nature of the Higgs field, a curious
observation is reported that calculates the mass of the Higgs boson with a 99.7
% agreement to its experimentally measured value. Particularly, motivated by
the desire to avoid infinities, a complex scalar finite field that aims to
describe the Higgs field is proposed as the underlying field of an extremely
huge finite group of Lie type. Then, the occurrence of a critical point of the
phase transition in that finite field is explained, and the mass of its bosons
is computed employing the Klein-Gordon equation. Next, in a backward analysis,
to curiously estimate magnificence of that finite group of Lie type, the mass
of Higgs boson is inputted to the obtained mass relation, and a huge order
close to the order of the Monster group is outputted. Supported by such a clue
as well as the fact that the Monster group is critical among the sporadic
groups, it is therefore assumed that the critical order of the corresponding
symmetry group (of Lie type), at which its underlying finite field reaches the
critical point of a phase transition, is the order of the Monster group. Based
on this assumption, the main observation is reported as M_H/M_P = D
m_(q^*)/m_2, where M_H, M_P, m_(q^*), m_2, and D, are respectively, the mass of
Higgs boson, the reduced Planck mass, the mass of bosons of the finite field,
the mass of field with two elements, and the number of spatial dimensions which
perfectly match the central charge (i.e., number of degrees of freedom) in the
Monster conformal field theory.
