Well there was a thread with all the acronyms but I don't see it in this forum. Should be stickied to the top.
PAO Poly Alpha Olefin. I probably misspelled it, but that is a Group IV base oil as was traditionally in Mobil 1 (there has been some question as to whether M1 has dropped back to Group III on some oils) and is in many of the Amsoil products. PAO is the synthetic component of Maxlife too. Most "synthetic" oils are Group III, which is lower cost and not as good as PAO. PAO is a true synthetic along with ester (Group V) base oils.
I don't know UDA, but here's one for ya:
HT/HS = High Temperature/ High Sheer. It's a viscosity under pressure and heat, where the rubber hits the road so to speak, as opposed to the static viscosity normally talked about here. Energy Conserving oils generally have lower HT/HS than non Energy Conserving oils. Synthetic generally has better HT/HS, especially Redline Oil (ester based).