Well ...
Concidering that Githyanki gets a Longsword (i think) that gives +1d4 Psychic damage ...
And Drow gets a Shortsword (i think?) that gives +1d4 Poison damage ...
It feels quite safe to presume that if Humans gets a Halberd, it will give +1d4 something damage.

Personaly i would give them Thunder ... bcs they are so damn loud. :P
