Predicting ${\delta }^{\text{PMNS}}$, ${\theta }_{23}^{\text{PMNS}}$ and fermion mass ratios from flavour GUTs with CSD2

Abstract

Constrained Sequential neutrino Dominance of type 2 (referred to as CSD2) is an attractive building block for flavour Grand Unified Theories (GUTs) because it predicts a non-zero leptonic mixing angle ${\theta }_{13}^{\text{PMNS}}$, a deviation of ${\theta }_{23}^{\text{PMNS}}$ from $\pi /4$, as well as a leptonic Dirac CP phase ${\delta }^{\text{PMNS}}$ which is directly linked to the CP violation relevant for generating the baryon asymmetry via the leptogenesis mechanism. When embedded into GUT flavour models, these predictions are modified in a specific way, depending on which GUT operators are responsible for generating the entries of fermion Yukawa matrices. In this paper, we systematically investigate and classify the resulting predictions from supersymmetric $\mathrm{SU}(5)$ based flavour models by fitting the known fermion mass and mixing data, in order to provide a roadmap for future model building. Interestingly, the promising models predict the lepton Dirac CP phase ${\delta }^{\mathrm{PMNS}}$ between $230^{\circ }$ and $290^{\circ }$, and the quark CP phase ${\delta }^{\mathrm{CKM}}$ in accordance with a right-angled unitarity triangle (${\alpha }_{\mathrm{UT}}=90^{\circ }$). Also, our model setup predicts the quantities ${\theta }_{23}^{\mathrm{PMNS}}$ and $m_d/m_s$ with less uncertainty than current experimental precision, and allowing with future sensitivity to discriminate between them.

arXiv comment46 pages, 6 figures, 3 tables; we provide neutrino RGE data tables at https://particlesandcosmology.unibas.ch/fileadmin/user_upload/particlesandcosmology-unibas-ch/files/RGrunning.zip

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Cited by in corpus (6)

• Stitching an Asymmetric Texture with ${\mathcal{T}}_{13}\times {\mathcal{Z}}_5$ Family Symmetry
• Nucleon decay in a minimal non-SUSY GUT with predicted quark-lepton Yukawa ratios
• Tribimaximal Mixing in the $SU(5)\times {\mathcal{T}}_{13}$ Texture
• Employing nucleon decay as a fingerprint of SUSY GUT models using \texttt{SusyTCProton}
• Yukawa ratio predictions in non-renormalizable $\mathrm{SO}(10)$ GUT models
• Implications of the Zero 1-3 Flavour Mixing Hypothesis: Predictions for ${\theta }_{23}^{\mathrm{PMNS}}$ and ${\delta }^{\mathrm{PMNS}}$