May 15 – 17, 2024
Center for Frontiers in Nuclear Science, Stony Brook University
America/New_York timezone

Transverse Momentum Distributions from Lattice QCD without Wilson Lines

May 17, 2024, 9:30 AM
30m
Center for Frontiers in Nuclear Science, Stony Brook University

Center for Frontiers in Nuclear Science, Stony Brook University

Department of Physics and Astronomy Stony Brook University Stony Brook, NY 11794-3800

Speaker

Yong Zhao

Description

The transverse-momentum-dependent distributions (TMDs), which are defined by gauge-invariant 3D parton correlators with staple-shaped lightlike Wilson lines, can be calculated from quark and gluon correlators fixed in the Coulomb gauge on a Euclidean lattice. These quantities can be expressed gauge-invariantly as the correlators of dressed fields in the Coulomb gauge, which reduce to the standard TMD correlators in the infinite boost limit. In the framework of Large-Momentum Effective Theory, a quasi-TMD defined from such correlators in a large-momentum hadron state can be matched to the TMD via a factorization formula, whose exact form is derived using Soft Collinear Effective Theory and verified at one-loop order. Compared to the currently used gauge-invariant quasi-TMDs, this new method can substantially improve statistical precision and simplify renormalization, thus providing a more efficient way to calculate TMDs in lattice QCD.

Author

Presentation materials