كتل الجسيمات: قاعدة بسيطة من أعماق الفيزياء سريع

الملخص الأصلي

كما كتبه المؤلفون، بالإنجليزية arXiv:2506.11806

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 $$y_t \approx y_b \approx 0.73 y_{\tau}$$ at the unification scale, with the MSSM parameter $$\tan\beta \sim 58$$. Acceptable solutions with lower $$\tan\beta$$ values are also realized in our framework, and we provide an example with $$\tan \beta =10$$. 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.