4–6 Jun 2024
NYCU
Asia/Taipei timezone

Lattice extraction of the TMD soft function and CS kernel with the auxiliary field representation of the Wilson line

5 Jun 2024, 11:00
30m
Science Building III/SC353 (NYCU)

Science Building III/SC353

NYCU

300, Hsinchu City, East District, No. 26, Prosperity 1st Rd

Speaker

Dr Wayne Morris (National Yang Ming Chiao Tung University)

Description

The TMD soft function may be obtained by formulating the Wilson line in terms of auxiliary 1-dimensional fermion fields on the lattice. We take inspiration from heavy quark effective theory (HQET) in order to define the auxiliary field. Our computation takes place in the region of the lattice that corresponds to the “spacelike” region in Minkowski space in order to obtain the Collins 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 exploratory numerical results of our lattice calculation, and discuss the methodology employed.

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Primary authors

Anthony Francis (National Yang Ming Chiao Tung University) C.-J. David Lin (Institute of Physics, National Yang Ming Chiao Tung University) Dr Issaku Kanamori (RIKEN) Dr Wayne Morris (National Yang Ming Chiao Tung University) Dr Yong Zhao (Argonne National Lab)

Presentation materials