Lattice computation of TMD soft function

Anthony Francis¹, Issaku Kanamori², C.-J. David Lin¹, Wayne Morris^1*, Yong Zhao³

¹Institute of Physics, National Yang Ming Chiao Tung University, Hsinchu, Taiwan
²Field Theory Research Team, RIKEN Center for Computational Scienece, Kobe, Japan
³Theory, Argonne National Laboratory, Lemont, Il, USA

* Presenter:Wayne Morris, email:waynemorris@nycu.edu.tw

The TMD soft function may be obtained by formulating the Wilson line in terms of auxiliary 1-dimensional fermion fields on the lattice. In the ``timelike" region, this corresponds to the ``moving" heavy quark effective theory (HQET). I present the results of the one-loop calculation of the Euclidean space analog to the soft function, and show that it must proceed in the ``spacelike" region. Finally, I present the details of an exploratory numerical study in preparation for the lattice computation.

Keywords: Hadron Structure, Lattice, QCD, TMD, PDF