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Recent CERN LHCb experiment suggests possible leptoquarks as new particles beyond the standard model may be discovered, with 3.1 $\sigma$ not the 5 $\sigma$ discovery.

What are the viable candidates of leptoquarks in the beyond the standard model theory?

For example,

  • in the $SU(5)$ grand unified theory, do we have the $X$ and $Y$ bosons as leptoquarks?

  • in the $SO(10)$ grand unified theory, what are the possible leptoquarks?

  • in the Pati-Salam grand unified theory, what are the possible leptoquarks?

What are the quantum numbers of their leptoquarks for the $SU(3), SU(2)$, $U(1)$ hypercharge, and $U(1)$ electric charge?

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