SU(5) and SO(10) models from F-theory with natural Yukawa couplings

Journal Article · Mon Mar 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.065018· OSTI ID:21409427

Tianjun, Li ^[1]

---

1. Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190 (China) and George P. and Cynthia W. Mitchell Institute for Fundamental Physics, Texas A and M University, College Station, Texas 77843 (United States)

We construct the SU(5) and SO(10) models from F-theory. Turning on the U(1) fluxes, we can break the SU(5) gauge symmetry down to the standard model (SM) gauge symmetry, and break the SO(10) gauge symmetry down to the SU(3){sub C}xSU(2){sub L}xSU(2){sub R}xU(1){sub B-L} gauge symmetry. In particular, all the SM fermion Yukawa couplings preserve the enhanced U(1){sub a}xU(1){sub b} gauge or global symmetries at the triple intersections of the SM fermion and Higgs curves. And the SM fermion masses and mixings can be generated in the presence of background fluxes. In our models, the doublet-triplet splitting problem can be solved naturally. The additional vectorlike particles can obtain heavy masses via the instanton effects or Higgs mechanism and then decouple at the high scale. The SM gauge couplings at the string scale, which are split due to the U(1) flux effects, can be explained by considering heavy threshold corrections from the extra vectorlike particles. Moreover, in the SU(5) model, we have the Yukawa coupling unification for the bottom quark and tau lepton. In the SO(10) models, we have the Yukawa coupling unification for the top and bottom quarks, and the Yukawa coupling unification for the tau lepton and tau neutrino.

• OSTI ID: 21409427
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B QUARKS
BEAUTY PARTICLES
BOSONS
CORRECTIONS
COUPLING
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
GRAND UNIFIED THEORY
HEAVY LEPTONS
HIGGS BOSONS
HIGGS MODEL
INVARIANCE PRINCIPLES
LEPTONS
LIE GROUPS
MASS
MASSLESS PARTICLES
MATHEMATICAL MODELS
MIXING
MULTIPLETS
NEUTRINOS
NUCLEAR POTENTIAL
PARTICLE MODELS
POSTULATED PARTICLES
POTENTIALS
QUANTUM FIELD THEORY
QUARKS
SIMULATION
SO GROUPS
SO-10 GROUPS
STANDARD MODEL
SU GROUPS
SU-5 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
TAU NEUTRINOS
TAU PARTICLES
TRIPLETS
U GROUPS
U-1 GROUPS
UNIFIED GAUGE MODELS
YUKAWA POTENTIAL