A curious model of the Higgs field: a complex scalar finite field meets the Monster symmetry
Abstract
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 KleinGordon 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.
 Publication:

arXiv eprints
 Pub Date:
 August 2021
 arXiv:
 arXiv:2108.05981
 Bibcode:
 2021arXiv210805981F
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Lattice
 EPrint:
 8 Pages, 3 tables