Inverse Radon transform and the transverse-momentum dependent functions
I.V. Anikin, L. Szymanowski
TL;DR
This paper extends the inverse Radon transform to include parton distributions, revealing a new contribution related to transverse-momentum dependent functions and exploring its connection to the Sivers function.
Contribution
It introduces a novel extension of the inverse Radon transform framework to parton distributions, highlighting an additional term linked to TMDs and double-distribution functions.
Findings
Identified a new contribution related to TMDs in the Radon transform extension.
Discussed potential connection between the new term and the Sivers function.
Enhanced mathematical representation of parton distributions using Radon transform.
Abstract
We revisit the standard representation of the (inverse) Radon transform which is well-known in the mathematical literature. We extend this representation to the case involving the parton distributions. We have found the new additional contribution which is essentially related to the generalized transverse-momentum dependent parton distribution and double-distribution functions. We discuss the possible relationship of this term with the Sivers function.
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