this is a great song, suprised there are no tabs for it, fantastic band as well. 
Enjoy =] and please rate/comment, tell me if there are mistakes.

Emadd9: 022002      A5: X022X0 (or X022XX)
                       EADGBE
and you know the rest =]

G
Parisian Skies, Shadows beneath your eyes
               Em
All we have is now, and the arc of your brow

G
You came to leave these shores, you had an inkling in your pores
                Bm
You came to bid farewell, the tears began to swell

C
Ooohh

Em-------A
      Oh   I don't think she knew
Em---Emadd9            A
    I can't forget her

G
The dark witholds, and lives unfolds
                   Em
We always slept so well, our bodies seemed to gel

G
The mind persists, we have thoughts to exist
                 Bm
It was a test I failed, her passion never paled

C
Ooooh

Em---A                       Em      Emadd9          A
   Oh  I don't think she knew    how much I loved her
Em--  A          
   Oh, I don't think she knew...

A5

A5
Is this the thrill of the chase?
How can I keep up the pace?
Is this the thrill of the chase?
                      G
How can I keep up the pace?

G
Is this the thrill of the chase?
                      A5
How can I keep up the pace?

A5
Is this the thrill of the chase?
How can I keep up the pace?
Is this the thrill of the chase?
How can I keep up the pace?

G
Is this the thrill of the chase?
How can I keep up the pace?

G
Parisian Skies, shadows beneath your eyes
                   Em
We always slept so well, the present casts a spell

G
You said we never talked, but there's a lightness that it brought
                  Bm
Refracting all my sins, we never lacked a thing...

C
Oooh

Em---A                         Em--  Emadd9           A
   Oh,  I don't think she knew, how  much I loved her
Em---A                          Em   Emadd9     A
   Oh,  I don't think she knew,     oh Rebecca, your loss was mine too 

Em---C-G (x2)

Em  
Did you ever feel the thrill of the chase?
C-G
   The breath on your neck in the locked embrace?
Em
Did you ever feel the thrill of the chase?
C-G
   The hairs on your neck in the lost embrace?
Em
I love the tiny veins on your back
C-G(strum once)
 They remind me of the way that porcelain cracks...