Minimal SUSY SO(10) and Yukawa unification

Journal Article · Thu May 23 04:00:00 EDT 2013 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4807371· OSTI ID:22118519

Okada, Nobuchika ^[1]

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1. Department of Physics and Astronomy, University of Alabama, Tuscaloosa, Alabama 35487 (United States)

The minimal supersymmetric (SUSY) SO(10) model, where only two Higgs multiplets {l_brace}10 Circled-Plus 126-bar{r_brace} are utilized for Yukawa couplings with matter fields, can nicely fit the neutrino oscillation parameters as well as charged fermion masses and mixing angles. In the fitting of the fermion mass matrix data, the largest element in the Yukawa coupling with the 126-bar -plet Higgs (Y{sup 126}) is found to be of order one, so that the right see-saw scale should be provided by Higgs vacuum expectation values (VEVs) of {beta}(10{sup 14}GeV). This fact causes a serious problem, namely, the gauge coupling unification is spoiled because of the presence of many exotic Higgs multiples emerging at the see-saw scale. In order to solve this problem, we consider a unification between bottom-quark and tau Yukawa couplings (b - {tau} Yukawa coupling unification) at the grand unified theory (GUT) scale, due to threshold corrections of superpartners to the Yukawa couplings at the 1 TeV scale. When the b - {tau} Yukawa coupling unification is very accurate, the largest element in Y{sub 126} can become {beta}(0.01), so that the right see-saw scale is realized by the GUT scale VEV and the usual gauge coupling unification is maintained. Since the b - {tau} Yukawa unification alters the Yukawa coupling data at the GUT scale, we re-analyze the fitting of the fermion mass matrix data by taking all the relevant free parameters into account. Unfortunately, we find that no parameter region shows up to give a nice fit for the current neutrino oscillation data and therefore, the usual picture of the gauge coupling unification cannot accommodate the fermion mass matrix data fitting in our procedure.

• OSTI ID: 22118519
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1534; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B QUARKS
CORRECTIONS
COUPLING
EXPECTATION VALUE
GAUGE INVARIANCE
GRAND UNIFIED THEORY
HIGGS BOSONS
HIGGS MODEL
MATRICES
NEUTRINO OSCILLATION
PARTICLE MULTIPLETS
REST MASS
SO-10 GROUPS
SPARTICLES
SUPERSYMMETRY
TEV RANGE
WEINBERG ANGLE
YUKAWA POTENTIAL