Abstract
We review recent theoretical developments concerning the definition and the renormalization of equal-time correlators that can be computed on the lattice and related to Parton Distribution Functions (PDFs) through a factorization formula. We show how these objects can be studied and analyzed within the framework of a nongauge theory, gaining insight through a one-loop computation. We use scalar field theory as a playground to revise, analyze and present the main features of these ideas, to explore their potential, and to understand their limitations for extracting PDFs. We then propose a framework that would allow to include the available lattice QCD data in a global analysis to extract PDFs.
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Del Debbio, L., Giani, T. & Monahan, C.J. Notes on lattice observables for parton distributions: nongauge theories. J. High Energ. Phys. 2020, 21 (2020). https://doi.org/10.1007/JHEP09(2020)021
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DOI: https://doi.org/10.1007/JHEP09(2020)021