# CERN LHCb leptoquarks and grand unified theory

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?