Tuning: DG|DG|BD (Open G|)

Main Riff
D|--------------------------------------------------------|
B|--------------------------------------------------------|
G|--9b11r(b9)7-----------------0---7b9r7-5---------------0--|
D|-----------9b10r(b9)7--------------------7b8r7-5----------|
G|--------------------11\(b9)7---------------------9-5----|
D|--------------------------------------------------------|

Pre-Chorus
D|--------------------|
B|--------------------|
G|--5b7r(5)-----------|
D|---------3-5--------|
G|-------------3-5-2--|
D|--------------------|

Chorus
D|---------------------------|
B|---------------------------|
G|---------3---5-------------|
D|---------3---5--3p0--------|
G|---------3---5------2b3p0--|
D|--3--5---------------------|

Post Chorus
D|------------------|
B|------------------|
G|------------------|
D|--3-5----------0--|
G|------3-5-2----0--|
D|------------3--0--|

Now for Marc Ford's part...

Tuning: EADGBe (Standard)

Intro
E|-------------------------------|
B|-------------------------------|
G|-------------------------------|
D|-----4----5----7-----(b9)----12--|
A|--/5---/7---(b9)--/10---/12-----|
E|-------------------------------|

Main Riff
E|-------------------------------|
B|-------------------------------|
G|-------------------------------|
D|-----4----5----7-----(b9)----12--|
A|--/5---/7---(b9)--/10---/12-----|
E|-------------------------------|

E|------------------------------|
B|------------------------------|
G|------------------------------|
D|-----2----3----5----7-----10--|
A|--/3---/5---/7---/8---/10-----|
E|------------------------------|

He mirror's Rich during the pre and post-chorus (adjusted for standard tuning, of course)

Pre-Chorus
E|--------------------|
B|--------------------|
G|--5b7r(5)-----------|
D|---------3-5--------|
A|-------------1-3-0--|
E|--------------------|

Post Chorus
E|------------------|
B|------------------|
G|------------------|
D|--3-5----------5--|
A|------1-3-0----5--|
E|------------1--3--|


It sounds like he just hits and holds out a chord during the chorus.  This would be my guess...

Chorus
E|--5--
B|--3--
G|--3--
D|--3--
A|--5--
E--3--