In this talk, progress in determining the quark Collins–Soper kernel using lattice QCD will be presented as a blueprint for the ongoing gluon kernel determination — to be discussed in the companion talk by Yang Fu.
Numerical results for the quark kernel will also be used to motivate the development of a convolutional transverse-scale–dependent LaMET matching, tailored to the intermediate...
We will present the first lattice QCD calculation of gluon Collins-Soper kernel, which relates the transverse momentum-dependent gluon parton distribution functions at different energy scales.
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...
We present a general framework originated from topologically nontrivial configurations, known as instantons in the QCD vacuum, to evaluate the non-perturbative transverse partonic structure of hadrons. Within this approach, we derive the transverse-momentum-dependent parton distribution functions (TMDPDFs) for the pion, kaon, and rho meson, as well as the Collins–Soper (CS) kernel that governs...
Designing good schemes to connect bare operators used in Lattice-QCD to perturbatively defined schemes (such as MSbar) is crucial for Lattice-QCD calculations. Operators containing Wilson Lines (for example those required for a quasi-pdf) contain an additional power divergence in the length of the Wilson Line. In this talk, I'll introduce gauge invariant position-space renormalization schemes...
