Nightmare Lairs
From combat level 40, lairs can be run in Nightmare: 24 levels higher, bosses with at least ×3 life that hit about as hard as a late lair boss of their new level (each boss tuned on its own), 10% harder for each hero past the first, and a regional sigil to find.
Boss Damage
the level jump (as for monsters) × 1, lifted to a late lair boss of that level and tuned per boss