High-quality grand unified theories with three generations

Ning Chen (School of Physics, Nankai University, Tianjin 300071, China)

We extend the unitary groups beyond the $SU(5)$ and $SU(5)$ to determine possible grand unified theories that give rise to three-generational Standard Model fermions without simple repetitions. By demanding asymptotic free theories at short distances, we find gauge groups of $SU(5)$ , $SU(5)$ , and $SU(5)$ , together with their anomaly-free irreducible representations, are such candidates. Two additional gauge groups of $SU(5)$ and $SU(5)$ can also achieve the generational structure without asymptotic freedom. We also deduce that these models can solve the Peccei-Quinn (PQ) quality problem, which is intrinsic in the axion models, with the leading PQ-breaking operators determined from the symmetry requirement.

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      "source": "IOP", 
      "value": "We extend the unitary groups beyond the   $SU(5)$   and   $SU(5)$   to determine possible grand unified theories that give rise to three-generational Standard Model fermions without simple repetitions. By demanding asymptotic free theories at short distances, we find gauge groups of   $SU(5)$  ,   $SU(5)$  , and   $SU(5)$  , together with their anomaly-free irreducible representations, are such candidates. Two additional gauge groups of   $SU(5)$   and   $SU(5)$   can also achieve the generational structure without asymptotic freedom. We also deduce that these models can solve the Peccei-Quinn (PQ) quality problem, which is intrinsic in the axion models, with the leading PQ-breaking operators determined from the symmetry requirement."
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Published on:
01 May 2022
Publisher:
IOP
Published in:
Chinese Physics C , Volume 46 (2022)
Issue 5
Article ID: 053107
DOI:
https://doi.org/10.1088/1674-1137/ac5010
arXiv:
2108.08690
Copyrights:
© 2022Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciences and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd
Licence:
CC-BY-3.0

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