Dipole factorization for DIS at NLO: Combining the $q\bar{q}$ and $q\bar{q}g$ contributions

G. Beuf

Paper

Dipole factorization for DIS at NLO: Combining the $q\bar{q}$ and $q\bar{q}g$ contributions

Abstract

The NLO corrections to the DIS structure functions

and

(or equivalently the photon-target cross sections

and

) at low

are obtained, as a generalization of the dipole factorization formula. For the first time, the contributions of both the

and the

Fock states in the photon are directly calculated, using earlier results for the

light-front wave-functions at one loop inside a dressed virtual photon. Both the

and the

contributions have UV divergences, which are shown to cancel each other, using conventional dimensional regularization as UV regulator. Finally, the resummation of high-energy logarithms on top of the NLO results for

and

is discussed.