qualifier
(n) In a high-low split game, a particular holding (or better) that a player must have to win the low half or high half of a pot, as, for example, 8-or-better. Online games have qualifiers only for low.
qualify
(v) Be eligible to win the low half of the pot in a high-low split game due to having a qualifier for low.
quartered
(adv) Describing the situation in which a player wins one-fourth of a pot, usually due to splitting the low half of the pot in a high-low split game with someone who holds the same hand. For example, most Omaha high-low players stay to the showdown with any A-2 combination, and often more than one player has those cards at the end. If two players hold those cards, those players each get half of the low half of the pot. Players can also get quartered for the high half of a pot, but that is less common than for the low half. It is entirely possible also to get sixthed.