Speaker
Description
In this talk, we will present the exact expansions at the next-to-leading order in the $1/N$ expansion for a space-like structure function in the 2D large-N Gross-Neveu model, in the Bjorken and the threshold limits.
The space-like structure function is similar to the lattice-calculable quasi-PDFs. As such, the exact expansion in the Bjorken limit allows a non-trivial first principle verification of the standard factorization conjectures for such quantities, in terms of the perturbative coefficient functions in the presence of infinitely-many perturbative orders, and the non-perturbative PDF-like scaling functions. The expansions are performed to all powers, in a way that manifests the renormalon conspiracy across different powers, between the perturbative coefficient functions and the non-perturbative scaling functions. Convergence properties of the expansions, as well as the resurgence relation between the threshold and the "Regge'' asymptotics will also be discussed.
