2018/03/20 by Koichi Yamawaki, Yamawaki, Koichi · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.1803.07271
openalex publication_date 2018/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Standard Model (SM) Higgs Lagrangian is straightforwardly rewritten into the \it scale-invariant nonlinear sigma model G/H=[SU(2)L × SU(2)R]/SU(2)V≃ O(4)/O(3), with the (approximate) scale symmetry realized nonlinearly by the (pseudo) dilaton (= SM Higgs). It is further gauge equivalent to that having the symmetry O(4)\rm global× O(3)\rm local, with O(3)\rm local being the Hidden Local Symmetry (HLS). In the large N limit of the scale-invariant version of the Grassmannian model G/H=O(N)/[O(N-3)× O(3)] ≃ O(N)\rm global× [O(N-3)× O(3)]\rm local, identical to the SM for N→ 4, we show that the kinetic term of the HLS gauge bosons ("SM rho") ρμ of the O(3)\rm local≃ [SU(2)V]\rm local are dynamically generated by the nonperturbative dynamics of the SM itself. The dynamical SM rho stabilizes the skyrmion ("SM skyrmion") Xs as a dark matter candidate within the SM: The mass MXs =\cal O(10 \rm GeV) consistent with the direct search experiments implies the induced HLS gauge coupling g_\rm HLS=\cal O(103), which realizes the relic abundance, ΩXs h2 =\cal O(0.1). If instead g_\rm HLS\lesssim 3.5 (Mρ\lesssim 1.2 TeV), the SM rho could be detected with "narrow width" \lesssim 100 \rm GeV at LHC, having all the "a=2 results" of the generic HLS Lagrangian \cal LA+ a \cal LV, i.e., ρ-universality, KSRF relations and the vector meson dominance, independently of "a". There exists the second order phase phase transition to the unbroken phase having massless ρμ and massive π (no longer NG bosons), both becoming massless free particles just on the transition point (scale-invariant ultraviolet fixed point).The results readily apply to the 2-flavored QCD as well.