Mace > Sword > Axe in pvp
Mace only wins because stuns are evil.
Sword beats axe because crit is nerfed by resiliance. You can't evade 2x attack with resiliance, and both attacks can crit, and if you hamstring you can proc a full white attack hit, without reseting your swing timer.
I find sword > mace for straight up damage in pvp as well.