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Transverse momentum moments

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arxiv 2402.01836 v2 pith:QX6CYAU5 submitted 2024-02-02 hep-ph hep-exhep-thnucl-th

Oscar del Rio , Alexei Prokudin , Ignazio Scimemi , Alexey Vladimirov This is my paper · ORCID
classification hep-phhep-exhep-thnucl-th
keywords collineardistributionsmomentumtmdstmmstransverseminimalmoments
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abstract

We establish robust relations between Transverse Momentum Dependent distributions (TMDs) and collinear distributions. We define weighted integrals of TMDs that we call Transverse Momentum Moments (TMMs) and prove that TMMs are equal to collinear distributions evaluated in some minimal subtraction scheme. The conversion to the modified minimal subtraction ($\bar{MS}$) scheme, can be done by a calculable factor, which we derive up to three loops for some cases. We discuss in detail the zeroth, the first, and the second TMMs and provide phenomenological results for them based on the current extractions of TMDs. The results of this paper open new avenues for theoretical and phenomenological investigation of the three-dimensional and collinear hadron structures.

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Cited by 2 Pith papers

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  1. Nucleon Tomography with 0-jettiness

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    Applying a 0-jettiness veto to transverse single-spin asymmetries in W/Z production at RHIC enhances the asymmetry signal, sharpening the test of the Sivers sign change.

  2. Parton Distribution Functions and their Generalizations

    hep-ph 2025-07 unverdicted novelty 1.0 of 10

    A textbook-style introduction to the definitions, QCD properties, experimental access, and current phenomenological status of PDFs and their generalizations.

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