Short Sword, 1d6/1d8, damage type P, versus your long sword, 1d8/1d12 damage type S, much better 'gainst your undead, but nothing beats the flail at 1d6/2d4 type B, unless of course you count the cleric with the flail who can turn the...wait...this isn't that forum, is it?
Nevermind, crossed...