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

Journal Article · Thu Jun 01 04:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.73.115012· OSTI ID:20774839

Bertolini, Stefano; Schwetz, Thomas; Malinsky, Michal ^[1]

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1. Scuola Internazionale Superiore di Studi Avanzati, via Beirut 4, I-34014 Trieste (Italy) and INFN, Sezione di Trieste (Italy)

We present a detailed study of the quark and lepton mass spectra in a SO(10) framework with one 10{sub H} and one 126{sub 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 {chi}{sup 2} 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{sub H}, one 126{sub H}, one 126{sub H}, and one 210{sub 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-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.

• OSTI ID: 20774839
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 11 Vol. 73; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING
GRAND UNIFIED THEORY
HIGGS BOSONS
HIGGS MODEL
MASS SPECTRA
NEUTRINOS
PARTICLE DECAY
POTENTIALS
PROTONS
QUARKS
RENORMALIZATION
REST MASS
SO-10 GROUPS
SUM RULES
SUPERSYMMETRY