Oct 8 – 10, 2025
Stony Brook University/Online
America/New_York timezone

Measurement of the Collins-Soper kernel on the lattice using the auxiliary field representation of the Wilson line

Oct 9, 2025, 2:15 PM
25m
CFNS, Peter Paul Seminar Room, C 120 Physics Building (Stony Brook University/Online)

CFNS, Peter Paul Seminar Room, C 120 Physics Building

Stony Brook University/Online

Speaker

Wayne Morris (National Yang Ming Chiao Tung University)

Description

The Collins-Soper (CS) kernel may be obtained through the TMD soft function by formulating the Wilson line in terms of 1-dimensional auxiliary fermion fields on the lattice. Our computation takes place in the region of the lattice that corresponds to the “spacelike” region in Minkowski space, i.e., Collins' scheme. We explore two methods for obtaining the CS kernel. The "ratio method"; which would allow us to obtain the soft function as well as the CS kernel. And the "double ratio"; which allows us to achieve a high degree of statistical precision, but only produces the CS kernel. The matching of our result to Minkowski space is achieved through the mapping of the auxiliary field directional vector to the Wilson line rapidity. I present a preliminary extraction of the CS kernel using the "double ratio", and discuss the methodology employed.

Authors

Dr Anthony Francis (National Yang Ming Chiao Tung University) Dr C.-J. David Lin (National Yang Ming Chiao Tung University) Wayne Morris (National Yang Ming Chiao Tung University) Yong Zhao (Argonne National Laboratory)

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