Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A $U(1)_X$ extension to the MSSM with three families   We propose a supersymmetric extension of the anomaly-free and three families
nonuniversal $U(1)$ model, with the inclusion of four Higgs doublets and four
Higgs singlets. The quark sector is extended by adding three exotic quark
singlets, while the lepton sector includes two exotic charged lepton singlets,
three right-handed neutrinos and three sterile Majorana neutrinos to obtain the
fermionic mass spectrum. By implementing an additional $\mathbb{Z}_2$ symmetry,
the Yukawa coupling terms are suited in such a way that the fermion mass
hierarchy is obtained without fine-tuning. The effective mass matrix for SM
neutrinos is fitted to current neutrino oscillation data to check the
consistency of the model with experimental evidence, obtaining that the
normal-ordering scheme is preferred over the inverse ones. The electron and up,
down and strange quarks are massless at tree level, but they get masses through
radiative correction at one loop level coming from the sleptons and Higgsinos
contributions. We show that the model predicts a like-Higgs SM mass at
electroweak scale by using the VEV according to the symmetry breaking and
fermion masses.

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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: stat
27
The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex