Renormalization Group Running of Fermion Observables in an Extended Non-Supersymmetric SO(10) Model

Abstract

We investigate the renormalization group evolution of fermion masses, mixings and quartic scalar Higgs self-couplings in an $extended$ non-supersymmetric SO(10) model, where the Higgs sector contains the ${10}_{\mathrm{H}}$, ${120}_{\mathrm{H}}$, and ${126}_{\mathrm{H}}$ representations. The group SO(10) is spontaneously broken at the GUT scale to the Pati-Salam group and subsequently to the Standard Model (SM) at an intermediate scale $M_{\mathrm{I}}$. We explicitly take into account the effects of the change of gauge groups in the evolution. In particular, we derive the renormalization group equations for the different Yukawa couplings. We find that the computed physical fermion observables can be successfully matched to the experimental measured values at the electroweak scale. Using the same Yukawa couplings at the GUT scale, the measured values of the fermion observables cannot be reproduced with a SM-like evolution, leading to differences in the numerical values up to around 80 %. Furthermore, a similar evolution can be performed for a $minimal$ SO(10) model, where the Higgs sector consists of the ${10}_{\mathrm{H}}$ and ${126}_{\mathrm{H}}$ representations only, showing an equally good potential to describe the low-energy fermion observables. Finally, for both the extended and the minimal SO(10) models, we present predictions for the three Dirac and Majorana CP-violating phases as well as three effective neutrino mass parameters.

24 pages, 3 figures, 3 tables. Final version published in JHEP

References in corpus (10)

• Big-Bang Nucleosynthesis
• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Updated Values of Running Quark and Lepton Masses
• Fermion Masses in SO(10) Models
• New expectations and uncertainties on neutrinoless double beta decay
• Yukawa Sector of Minimal SO(10) Unification
• Search for heavy neutrinos or third-generation leptoquarks in final states with two hadronically decaying tau leptons and two jets in proton-proton collisions at sqrt(s) = 13 TeV
• Search for dark matter in association with a Higgs boson decaying to $b$-quarks in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• A renormalizable SO(10) GUT scenario with spontaneous CP violation
• Search for new resonances decaying to a $W$ or $Z$ boson and a Higgs boson in the ${\ell }^{+}{\ell }^{-}b\bar{b}$, $\ell \nu b\bar{b}$, and $\nu \bar{\nu }b\bar{b}$ channels with $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector

Cited by in corpus (2)

• Unification, Proton Decay and Topological Defects in non-SUSY GUTs with Thresholds
• Fits to Non-Supersymmetric SO(10) Models with Type I and II Seesaw Mechanisms Using Renormalization Group Evolution