I talk about finite corrections to the large spin asymptotics
of N=4 SYM twist operators. These
corrections are an all-loop result, not affected by wrapping effects,
and agree, after
determining the strong coupling expansion, with string theory predictions.
The finite order corrections enter the sub-leading poles of the
logarithm of multi loop gluon
scattering amplitudes and describes the difference between the former
and the expectation
value of certain Wilson lines.
Furthermore, the very same leading and subleading corrections
also appear for a more general class of operators, which correspond
to spinning strings with two spins in AdS_5.
