Speaker
Description
The TMD soft function may be modeled by formulating the Wilson line in terms of auxiliary 1-dimensional fermion fields with complex directional vectors in Euclidean space. Using this approach we present a method for obtaining both the TMD soft function and the Collins-Soper kernel from lattice QCD. Our computation takes place in the region of the lattice that corresponds to the “spacelike” region in Minkowski space, which corresponds to the Collins definition of the Soft function. The matching of our result to the Collins soft function is achieved through the mapping of the auxiliary field directional vector to the Wilson line rapidity. I present some exploratory numerical results of our lattice calculation, and discuss the methodology employed.