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Transverse momentum dependent factorization for lattice observables

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arxiv 2002.07527 v2 pith:XPE3BHPA submitted 2020-02-18 hep-ph hep-lat

Alexey A. Vladimirov , Andreas Schäfer This is my paper · ORCID
classification hep-phhep-lat
keywords factorizationlatticeratiosrelatednonperturbativepropertiestheoremanomalous
verification ladder T0 review T1 audit T2 compute T3 formal
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Using soft collinear effective field theory, we derive the factorization theorem for the quasi-transverse-momentum-dependent (quasi-TMD) operator. We check the factorization theorem at one-loop level and compute the corresponding coefficient function and anomalous dimensions. The factorized expression is built from the physical TMD distribution, and a nonperturbative lattice related factor. We demonstrate that lattice related functions cancel in appropriately constructed ratios. These ratios could be used to explore various properties of TMD distributions, for instance, the nonperturbative evolution kernel. A discussion of such ratios and the related continuum properties of TMDs is presented.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Connecting baryon light-front wave functions to quasi-transverse-momentum-dependent correlators in lattice QCD

    hep-ph 2026-03 conditional novelty 7.0 of 10

    A perturbative proof that baryon three-quark light-front wave functions can be extracted from a quasi-transverse-momentum-dependent lattice correlator, with all NLO divergences canceled by a soft factor.

  2. Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness

    hep-ph 2025-01 conditional novelty 7.0 of 10

    A threshold factorization and resummation scheme for quasi-GPD matching in LaMET is derived and shown to be self-consistent on a GPD model.

  3. Quark Transverse Spin-Momentum Correlation of the Pion from Lattice QCD: The Boer-Mulders Function

    hep-lat 2024-12 conditional novelty 6.0 of 10

    The pion Boer-Mulders function is computed for the first time from lattice QCD and is found to decay with transverse separation, becoming compatible with zero around 0.5 to 0.6 fm.

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