2019/01/17 by Joydeep Chakrabortty, Stephen F. King, Rinku Maji
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Computer science #Grand Unified Theory #Homotopy #Manifold (fluid mechanics) #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Proton decay #Pure mathematics #Quantum Chromodynamics and Particle Interactions #R-parity #Renormalization group #Supersymmetry #Topology (electrical circuits) #Unification #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.99.095008
published as Phys. Rev. D 99, 095008 (2019) · 56 pages, 12 captioned figures, 16 tables
arxiv created 2019/01/17 · openalex created_date 2019/01/25 · openalex publication_date 2019/05/14 · arxiv updated 2019/05/22 · openalex updated_date 2026/08/05
We calculate the proton lifetime and discuss topological defects in a wide class of non-supersymmetric (non-SUSY) SO(10) and E(6) grand unified theories (GUTs), broken via left-right subgroups with one or two intermediate scales (a total of 9 different scenarios with and without D-parity), including the important effect of threshold corrections. By performing a goodness of fit test for unification using the two-loop renormalization group evolution equations (RGEs), we find that the inclusion of threshold corrections significantly affects the proton lifetime, allowing several scenarios, which would otherwise be excluded, to survive. Indeed we find that the threshold corrections are a savior for many non-SUSY GUTs. For each scenario we analyze the homotopy of the vacuum manifold to estimate the possible emergence of topological defects.