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Power corrections and renormalons in parton quasi-distributions

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arxiv 1810.00048 v2 pith:4QAK362F submitted 2018-09-28 hep-ph hep-lat

classification hep-phhep-lat
keywords correctionspartonpowerquasi-distributionsaffectedappearapproachbjorken
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Perturbative expansions for short-distance quantities in QCD are factorially divergent and this deficiency can be turned into a useful tool to investigate nonperturbative corrections. In this work, we use this approach to study the structure of power corrections to parton quasi-distributions and pseudo-distributions which appear in lattice calculations of parton distribution functions. As the main result, we predict the functional dependence of the leading power corrections to quasi(pseudo)-distributions on the Bjorken $x$ variable. We also show that these corrections can be strongly affected by the normalization procedure.

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Cited by 7 Pith papers

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

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  3. $B$-meson light-cone distribution amplitude from the Euclidean quantity

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  4. Parton Distribution Functions from Ioffe time pseudo-distributions

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    A dynamical lattice QCD calculation using Ioffe-time pseudo-distributions produces an isovector nucleon valence PDF and first two moments at M_pi ~ 400 MeV, with estimates of lattice-spacing and finite-volume systematics.

  5. Power corrections in the determination of heavy meson LCDAs: A renormalon-based estimation

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    Using the renormalon model, the paper estimates that power corrections to the QCD-to-HQET light-cone distribution amplitude matching are around 22% for the D meson and 7% for the B meson in the peak region.

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    Using the Feynman-Hellmann approach in lattice QCD, the authors estimate the nucleon's isovector parton momentum fraction <x>_{u-d}=0.141(8) at mu^2=4 GeV^2 and the physical F2 moment 0.177(22) at Q^2 ~ 5 GeV^2, consi...

  7. Mapping Parton Distributions of Hadrons with Lattice QCD

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    A review of lattice QCD methods and results for x-dependent parton distribution functions and generalized parton distributions of hadrons.

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