<p>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<sub><i>H</i></sub>, 45<sub><i>H</i></sub>, and <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27322_Article_IEq1.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="76" /> </InlineMediaObject> <EquationSource Format="TEX">\({16}_{H}+{\overline{16} }_{H}\)</EquationSource> </InlineEquation>. 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 <i>y</i><sub><i>t</i></sub> ≈ <i>y</i><sub><i>b</i></sub> ≈ 0<i>.</i>73<i>y</i><sub><i>τ</i></sub> at the unification scale, with the MSSM parameter tan <i>β</i> ~ 58. Acceptable solutions with lower tan <i>β</i> values are also realized in our framework, and we provide an example with tan <i>β</i> = 10. Based on our fits, the masses for the three right-handed neutrinos turn out to be (<i>M</i><sub>1</sub><i>, M</i><sub>2</sub><i>, M</i><sub>3</sub>) ~ (10<sup>9</sup><i>,</i> 8∙10<sup>12</sup><i>,</i> 9∙10<sup>12</sup>) GeV. We briefly discuss the metastable and quasistable string scenarios that can be realized in this class of supersymmetric SO(10) models.</p>

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Fermion masses and mixings in supersymmetric SO(10) with third-generation quasi-Yukawa unification

  • Shaikh Saad,
  • Qaisar Shafi

摘要

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 10H, 45H, 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 ytyb ≈ 0.73yτ at the unification scale, with the MSSM parameter tan β ~ 58. Acceptable solutions with lower tan β 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 (M1, M2, M3) ~ (109, 8∙1012, 9∙1012) GeV. We briefly discuss the metastable and quasistable string scenarios that can be realized in this class of supersymmetric SO(10) models.