i am not sure wot tuning they play in but i figured out the first riff and most of the second in dropped B (B F# B E G# c#)
The first riff goes sum thing like this (i think it's all palm muted):
|--------------------------------------------------------------------------
|--------------------------------------------------------------------------
|--------------------------------------------------------------------------
|--------------------------------------------------------------------------
|-3-3--333--3333--3333--3-3-333-3-3-332----------------------
|-3-3--333--3333--3333--3-3-333-3-3-332----------------------
The second riff, i couldn't work it all out but it's pretty close (there's just 2 notes i am not to sure about, they are the ones with ? underneath. they fit but i'm not sure if ther're right, i think this all palm muted again at least the notes on the 5th 4th and 3rd strings are).
|--------------------------------------------------------------------------
|--------------------------------------------------------------------------
|-------------------4-----------------------------------------------------
|-4-----------4------5-4---3---4---------------------------------------
|---5-----------5---------5---4---5------------------------------------
|------3-33--------------------------3-33-3-3-332-------------------
? ?
I know it's not much but it's a start.