I Dark Matter Numbers: Baryon & Lepton Conservation

[snorkack]

Baryon number is, despite all guesses and searches, known to be conserved in all interactions. It is also known to be significantly nonzero, though modest, for world.
Lepton number is, despite all guesses and searches, known to be conserved in all interactions. It is not known if world has any lepton number, and if so, what its sign and order of magnitude might be.
Is it possible that there are one or more conserved dark matter numbers? If so, is it possible that world has significantly nonzero of any of them?

 

[mfb]

Baryon number is, despite all guesses and searches, known to be conserved in all interactions.

Only at low energy. Even the SM has baryon number non-conservation via the sphaleron process.

Is it possible that there are one or more conserved dark matter numbers?

It's generally expected that they have some (at least approximately) conserved quantum number, because something needs to make these particles long-living. If they are SUSY then it's R-parity, if they are something else it's something else.