Yukawa coupling unification in non-supersymmetric SO(10) models with an intermediate scale

Abstract

We discuss the possibility of unifying in a simple and economical manner the Yukawa couplings of third generation fermions in a non-supersymmetric SO(10) model with an intermediate symmetry breaking, focusing on two possible patterns with intermediate Pati-Salam and minimal left-right groups. assume a minimal Yukawa sector at high energy, starting with two Higgs bi-doublets at the intermediate scale which then simply reduce to a two Higgs doublet model at the electroweak scale. We first enforce gauge coupling unification at the two-loop level by including the threshold corrections in the renormalisation group running which are generated by the heavy fields that appear at the intermediate symmetry breaking scale. We then study the running of the Yukawa couplings of the top quark, bottom quark and tau lepton at two-loops in these two breaking schemes, when the appropriate matching conditions are imposed. We find that the unification of the third family Yukawa couplings can be achieved while retaining a viable spectrum, provided that the ratio of the vacuum expectation values of the two Higgs doublet fields is large, $\tan \beta \approx 60$.

arXiv comment14 pages, 3 figures, published version, comments are welcome

References in corpus (14)

• Theory and phenomenology of two-Higgs-doublet models
• SARAH 4: A tool for (not only SUSY) model builders
• The Top Quark Mass in Supersymmetric SO(10) Unification
• Predictive Neutrino Spectrum in Minimal $SO(10)$ Grand Unification
• On the Unification of Couplings in the Minimal Supersymmetric Standard Model
• Fermion Masses in SO(10) Models
• Phenomenological Implications of the m_t RGE Fixed Point for SUSY Higgs Boson Searches
• Phenomenological Implications of the $m_t$ RGE Fixed Point for SUSY Higgs Boson Searches
• Yukawa sector in non-supersymmetric renormalizable SO(10)
• SO(10) a la Pati-Salam
• On the $b$-quark running mass in QCD and the SM
• Gauge Coupling Unification without Supersymmetry
• Threshold effects in SO(10) models with one intermediate breaking scale
• Renormalization Group Equation of Quark-Lepton Mass Matrices in the SO(10) Model with Two Higgs Scalars