S. Catani et F. Hautmann, HIGH-ENERGY FACTORIZATION AND SMALL-X DEEP-INELASTIC SCATTERING BEYOND LEADING ORDER, Nuclear physics. B, 427(3), 1994, pp. 475-524
High-energy factorization in QCD is investigated beyond leading order
and its relationship to the factorization theorem of mass singularitie
s is established to any collinear accuracy. Flavour non-singlet observ
ables are shown to be regular at small x order by order in perturbatio
n theory. In the singlet sector, we derive the relevant master equatio
ns for the space-like evolution of gluons and quarks. Their solution e
nables us to sum next-to-leading corrections to the small-x behaviour
of quark anomalous dimensions and deep inelastic scattering coefficien
t functions. We present results in both <(MS)over bar> and DIS factori
zation schemes.