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We construct a family of PBWD bases for the positive subalgebras of quantumloop algebras of type $B_n$ and $G_2$, as well as their Lusztig and RTT (fortype $B_n$ only) integral forms, in the new Drinfeld realization. We alsoestablish a shuffle algebra realization of these $\mathbb{C}(v)$-algebras(proved earlier in arXiv:2102.11269 by completely different tools) andgeneralize the latter to the above $\mathbb{Z}[v,v^{-1}]$-forms. The rationalcounterparts provide shuffle algebra realizations of positive subalgebras oftype $B_n$ and $G_2$ Yangians and their Drinfeld-Gavarini duals. All of thisgeneralizes the type $A_n$ results of arXiv:1808.09536 by the second author.

Shuffle algebras and their integral forms: specialization map approach in types $B_n$ and $G_2$