Fermion masses and mixings in supersymmetric SO(10) with third-generation quasi-Yukawa unification
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| Format: | Preprint |
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2025
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| author | Saad, Shaikh Shafi, Qaisar |
| author_facet | Saad, Shaikh Shafi, Qaisar |
| contents | We discuss the charged and neutral fermion masses and mixings in a supersymmetric SO(10) model with a minimal Higgs sector consisting of the multiplets $10_H$, $45_H$, and $16_H + \overline{16}_H$. In addition to the renormalizable Yukawa couplings involving the Higgs 10-plet, we include non-renormalizable Yukawa couplings, which are important for reproducing with good accuracy the observed masses and mixings in the quark and lepton sectors. We identify a preferred solution which is compatible with third family quasi-Yukawa unification, namely $y_t \approx y_b \approx 0.73 y_τ$ at the unification scale, with the MSSM parameter $\tanβ\sim 58$. Acceptable solutions with lower $\tanβ$ values are also realized in our framework, and we provide an example with $\tan β=10$. Based on our fits, the masses for the three right-handed neutrinos turn out to be $\left(M_1,M_2,M_3\right)\sim \left(10^9, 8\cdot 10^{12}, 9\cdot 10^{12}\right) \mathrm{GeV}$. We briefly discuss the metastable and quasistable string scenarios that can be realized in this class of supersymmetric SO(10) models. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_11806 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fermion masses and mixings in supersymmetric SO(10) with third-generation quasi-Yukawa unification Saad, Shaikh Shafi, Qaisar High Energy Physics - Phenomenology We discuss the charged and neutral fermion masses and mixings in a supersymmetric SO(10) model with a minimal Higgs sector consisting of the multiplets $10_H$, $45_H$, and $16_H + \overline{16}_H$. In addition to the renormalizable Yukawa couplings involving the Higgs 10-plet, we include non-renormalizable Yukawa couplings, which are important for reproducing with good accuracy the observed masses and mixings in the quark and lepton sectors. We identify a preferred solution which is compatible with third family quasi-Yukawa unification, namely $y_t \approx y_b \approx 0.73 y_τ$ at the unification scale, with the MSSM parameter $\tanβ\sim 58$. Acceptable solutions with lower $\tanβ$ values are also realized in our framework, and we provide an example with $\tan β=10$. Based on our fits, the masses for the three right-handed neutrinos turn out to be $\left(M_1,M_2,M_3\right)\sim \left(10^9, 8\cdot 10^{12}, 9\cdot 10^{12}\right) \mathrm{GeV}$. We briefly discuss the metastable and quasistable string scenarios that can be realized in this class of supersymmetric SO(10) models. |
| title | Fermion masses and mixings in supersymmetric SO(10) with third-generation quasi-Yukawa unification |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2506.11806 |