Gluon transverse-momentum-dependent distributions from large-momentum effective theory

• DOI: 10.1007/jhep02(2023)114
• Publication Date: 2023-02-11T06:33:28Z
• Authors: Ruilin Zhu; Yao Ji; Jian-Hui Zhang; Shuai Zhao
• Keywords: Helicity; Wilson loop; Lattice (music)

A bstract We demonstrate that gluon transverse-momentum-dependent parton distribution functions (TMDPDFs) can be extracted from lattice calculations of appropriate Euclidean correlations in large-momentum effective theory (LaMET). Based on perturbative unpolarized and helicity TMDPDFs, we present a matching formula connecting them their LaMET counterparts, where the latter are renormalized scheme facilitating converted to $$ \overline{\textrm{MS}} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>MS</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> scheme. The hard kernel is given up one-loop level. also show result independent prescription used for pinch-pole singularity relevant correlations. Our results offer guidance extraction TMDPDFs simulations, have potential greatly facilitate kernel.