Speaker
Description
In this talk, I would like to present a derivation of the factorization formula for the impact-parameter dependent cross section using Soft-Collinear Effective Theory. Especially, this talk focuses on inclusive hard processes with only colorless final-state products in hadron and nuclear collisions. To describe Such processes, one only needs to replace the beam functions with the Fourier transforms of transverse phase-space parton distribution functions, which are referred to thickness beam functions. The factorization formula is verified up to one loop in perturbative QCD for the inclusive Drell-Yan process in quark-antiquark collisions at a finite impact parameter. Besides, how this discussion could be extended to study jet cross sections in heavy-ion collisions will also be discussed briefly.