The relationship between high-energy factorization and the factorizati
on theorem of mass singularities is fully established by performing a
complete resummed calculation in dimensional regularization. This resu
lt is achieved by deriving and solving a new evolution equation for th
e gluon-gluon forward scattering amplitude at high energy in n space-t
ime dimensions. This equation reduces to the Balitskii-Fadin-Kuraev-Li
patov equation in the limiting case of four dimensions.