On a Singular Solution in Higgs Field (1)- Basic equation and structure for SM Higgs boson mass

A formula for mass of SM Higgs boson (H$^{0}$) is derived by considering certain asymptotic behavior for singular solution of EOM of Higgs field via Euler-Lagrange equation, in which ${\rm{M}}_{{\rm{H}}^0 }$ is shown as a rest mass of Higgs boson mass of the field, which maintains Lorentz invariance. Where the asymptotic formula extracts a proper information near the singular solution. By modifying the mass formula with H$^{0}$ production scheme of W/Z-fusion process, the value of ${\rm{M}} _ {{\rm{H}}^0 }$ is determined at 120.611 GeV/c$^{2}$. Then the mass structure of H$^{0}$ is discussed by top quark decay processes in electroweak and quark sectors with newly enlarged equation of motion (Non-Linear Klein- Gordon), calculating the mass value of top quark as 171.266 GeV/c$^{2}$. And from the difference between the value by assuming that H$^{0}$ is a virtual bound state of top quark- pair ($(t\bar {t}$)$^{*}$) itself with the mass formula obtained by requirement of minimal mass production and the theoretical mass value of H$^{0}$ (120.611 GeV/c$^{2}$), it is expected that H$^{0}$ is to be a composite scalar meson after emitting one photon from the $(t\bar {t}$)$^{*}$ through radiative decay. Finally, a mass structure of H$^{0}$ which is composed of all spin 0 mesons' masses, is proposed. Where the truncated-Octahedron mass structure is recursively (doubly) seen.