Fermion masses and mixings inSO(10)models and the neutrino challenge to supersymmetric grand unified theories

2006/05/31 by Stefano Bertolini, Michal Malinsky, Thomas Schwetz +1 · 7 citations
Physics and Astronomy · #Biology #Fermion #Gauge (firearms) #Grand Unified Theory #Higgs boson #Higgs sector #Lepton #Minimal Supersymmetric Standard Model #Neutrino #Neutrino Physics Research #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Physics beyond the Standard Model #Proton decay #Quantum Chromodynamics and Particle Interactions #Quark #SO(10) #Standard Model (mathematical formulation) #Supersymmetry #Type (biology) #Yukawa potential #hep-ph

paper · pdf · doi:10.1103/physrevd.73.115012

published as Phys.Rev. D73 (2006) 115012 · 15 pages, 6 figures. Note added to correct typos in Table III

openalex publication_date 2006/06/29 · arxiv created 2008/08/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present a detailed study of the quark and lepton mass spectra in a SO(10) framework with one 10_H and one 126_H Higgs representations in the Yukawa sector. We consider in full generality the interplay between type I and type II seesaw for neutrino masses. We first perform a \ensuremathχ² fit of fermion masses independent on the structure of the GUT Higgs potential and determine the regions of the parameter space that are preferred by the fermion mass sum rules. We then apply our study to the case of the minimal renormalizable SUSY SO(10) GUT with one 10_H, one 126_H, one 126_H, and one 210_H Higgs representations. By requiring that proton decay bounds are fulfilled we identify a very limited area in the parameter space where all fermion data are consistently reproduced. We find that in all cases gauge coupling unification in the supersymmetric scenario turns out to be severely affected by the presence of lighter than GUT (albeit B\ensuremath-L conserving) states. We then conclusively show that the minimal supersymmetric SO(10) scenario here considered is not consistent with data. The fit of neutrino masses with type I and type II seesaws within a renormalizable SO(10) framework strongly suggests a non-SUSY scenario for gauge unification.

Citations

• Fermion Mass Hierarchy in the Nu MSGUT I : The Real Core
• b−τUnification and Large Atmospheric Mixing: A Case for a Noncanonical Seesaw Mechanism
• Status of global fits to neutrino oscillations
• Lepton number as the fourth "color"
• Non-thermal leptogenesis and a prediction of inflaton mass in a supersymmetricSO(10) model
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)

Cited by

• A Minimal Supersymmetric E₆ Unified Theory
• Non-thermal leptogenesis in a simple 5D SO(10) GUT
• Seesaw scale in the minimal renormalizableSO(10)grand unification
• Peccei-Quinn symmetry and nucleon decay in renormalizable SUSY SO(10)
• Planck-scale induced left–right gauge theory at LHC and experimental tests
• On the seesaw scale in supersymmetric SO(10) models
• GUT Physics in the Era of the LHC