2006/07/21 by K. S. Babu, Ilia Gogoladze, Pran Nath +1 · 49 citations
Mathematics · Physics and Astronomy · #Fermion #Grand Unified Theory #Higgs boson #Mathematics #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quartic function #Yukawa potential #hep-ph
paper · pdf · doi:10.1103/physrevd.74.075004
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 74(7) (American Physical Society) · 18 pages
arxiv created 2006/07/21 · openalex publication_date 2006/10/16 · arxiv updated 2011/01/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
An analysis of generating fermion masses via cubic couplings in SO(10) grand unification with a unified Higgs sector is given. The new framework utilizes a single pair of vector-spinor representation 144+144 to break the gauge symmetry all the way to SU(3)C\ifmmode×\else\texttimes\fiU(1)em. Typically the matter-Higgs couplings in this framework are quartic and lead to naturally suppressed Yukawa couplings for the first two generations. Here we show that much larger third generation couplings naturally arise at the cubic level with additional matter in 10-plet and 45-plet representations of SO(10). Thus the physical third generation is a mixture of 16, 10, and 45-plet representations while the remaining components become superheavy and are removed from the low energy spectrum. In this scenario it is possible to understand the heaviness of the top in a natural way since the analysis generates a hierarchy in the Yukawa couplings so that ht/hb\ensuremath≫1 where ht(hb) are the top (bottom) Yukawa couplings. It is then possible to realize values of tan\ensuremathβ as low as 2, which also helps to stabilize the proton.