The Composite Particles Model (CPM) is characterized by composite Higgs, composite top quark, cancelation of the scalar leading quadratic divergences, and a particular ground state such that top anti-top channel is neither attractive or repulsive at
tree level at the Z pole mass. The radiatively generated scalar mass in 2D is m_H=sqrt((6m_t^2 -M_Z^2-2M_w^2)/3(1+{pi}/k))= 113 GeV/c^2,143 GeV/c^2,...,230 GeV/c^2 for k = 1,2,...infty. As first proposed by Nambu in the simplest models with dynamical mass generation and fermion condensate in 4D, one expects the Higgs mass on the order of twice the heaviest fermion mass. Hence, if this is applied to the CPM one could expect scalar mass dynamically generated by top constituent quarks and composite top quarks to be equal to 2 m_t/3 and 2m_t respectively. When Bose-Einstein statistics for kT cong M_W c^2 is applied to the two lowest energy states in 2D (113 GeV and 143 GeV) and 4D (115 GeV and 346 GeV), the CPM suggests physical Higgs mass equal to m_H cong 125 GeV/c^2 in both 2D and 4D.
The radiatively generated Higgs mass is obtained by requiring that leading divergences are cancelled in both 2D and 4D. This predicts one or more viable modes; the k=1 mode mass is m_Hcong2/3 m_tcong115GeV whereas the k=2 mode is m_Hcong143GeV. These
findings are interpreted within the Composite Particles Model (CPM), [Popovic 2002, 2010], with the massive top quark being a composite structure composed of 3 fundamental O quarks (Obar{O}O) and the massive Higgs scalar being a color-neutral meson like structure composed of 2 fundamental O quarks (bar{O}O). The CPM predicts that the Z mass generation is mediated primarily by a top - anti top whereas the Higgs mass is generated primarily by a O - anti O interactions. The relationship [Popovic 2010] between top Yukawa coupling and strong QCD coupling, obtained by requiring that top - anti top channel is neither attractive or repulsive at tree level at surd scongM_Z, defines the Z mass. In addition, this relationship indirectly defines the electroweak symmetry breaking (EWSB) vacuum expectation value (VEV), the CPM Higgs mass and potentially the EWSB scale.
I address: (1) dynamical, likely local Higgs mass generation as resolution to the 4D hierarchy and vacuum energy problems, (2) possibility that top condensation may be explained by an interplay among the gluon and scalar sectors, (3) the Higgs Mass Z
ero Crossing (HMZC) scale, most likely equal to {Lambda}_EWSB, in accord with standard cosmology or classic inflation, and (4) two preferred Higgs regions centered at 116.5 GeV and 140.5 GeV with related high energy models. I show that SM in 2D could simultaneously satisfy (a) complete radiative generation of the Higgs mass via top loop and (b) cancelation of the remaining leading order corrections to the scalar propagator. The Higgs mass, m_H, parameterized with k=1 (2), in the leading order is 113.0{pm}1.0 GeV (143.4{pm}1.3 GeV). I show that the SM top condensation is consistent with the gluon and Higgs mediated top-anti top interactions at tree level. I predict the QCD fine structure constant with the mean value only 0.25% away from the world average value at {sqrt}s=M_Z. The SM driven theory at energies larger than the HMZC scale necessary includes effective tachyonic Higgs (Popovic 2001). Here, I map the SM physical Higgs mass to the low energy HMZC scale (0.8-1.8 TeV). I show that the very long lived SM necessitates Higgs lighter than 146.5{pm}2 GeV such that there is a single HMZC scale at energies smaller than the Planck mass. I present candidate m_H=138.1{pm}1.8 GeV for the SM valid up to an energy scale, nearly equal Planck mass, obtained from a conjecture which minimizes the parameters of the Higgs potential. I introduce a class of models potentially exactly removing tachyons. I analyze Composite Particles Models (CPM) (Popovic 2002) where top quark is composite, composed of 3 fundamental fermions, and Higgs scalar is composite, composed of 2 fundamental fermions, with m_H=2/3 m_t=115.4{pm}0.9 GeV.
