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arXiv · 2007.02131

Notes on lattice observables for parton distributions: nongauge theories

Luigi Del Debbio·Tommaso Giani·Christopher J. Monahan
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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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Luigi Del Debbio, Tommaso Giani, Christopher J. Monahan. 2020-07-14. Notes on lattice observables for parton distributions: nongauge theories. https://arxiv.org/abs/2007.02131

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