Speaker
Description
I show that the first sub-eikonal correction reproduces the standard quark and helicity light-ray operator structure of DIS and, in the inclusive limit, recovers the corresponding distributions at nonzero Bjorken $x_B$. I then derive dipole-form expressions for the corrections to $F_L$, $F_T$, and $g_1$, and identify the relevant operator combinations in the singlet and non-singlet sectors.
The operator basis thus obtained is naturally organized in terms of dipole operators that vanish in the zero-size limit, making unitarity and small-dipole behavior manifest. I further show that the logarithmic singularities of the sub-eikonal correction to the dipole structure functions are precisely the one-loop evolution of the quark and helicity light-ray operators. In the double-logarithmic approximation, I recover the Kirschner-Lipatov exponent and clarify its relation to previous small-$x_B$ helicity resummations.