Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

High Energy Physics - Phenomenology

arXiv:2106.01916 (hep-ph)
[Submitted on 3 Jun 2021 (v1), last revised 19 Jul 2021 (this version, v2)]

Title:Gluon pseudo-distributions at short distances

Authors:I. Balitsky, W. Morris, A. Radyushkin
View PDF
Abstract:We present the results that are necessary in the ongoing lattice calculations of the gluon parton distribution functions (PDFs) within the pseudo-PDF approach. We identify the two-gluon correlator functions that contain the invariant amplitude determining the gluon PDF in the light-cone $z^2 \to 0$ limit, and perform one-loop calculations in the coordinate representation in an explicitly gauge-invariant form. Ultraviolet (UV) terms, which contain $\ln (-z^2)$-dependence cancel in the reduced Ioffe-time distribution (ITD), and we obtain the matching relation between the reduced ITD and the light-cone ITD. Using a kernel form, we get a direct connection between lattice data for the reduced ITD and the normalized gluon PDF.
Comments: Talk given by W. Morris at XXVIII International Workshop on Deep-Inelastic Scattering and Related Subjects (DIS2021)
Subjects: High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Lattice (hep-lat)
Report number: JLAB-THY-21-3413
Cite as: arXiv:2106.01916 [hep-ph]
  (or arXiv:2106.01916v2 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.2106.01916

Submission history

From: Anatoly Radyushkin [view email]
[v1] Thu, 3 Jun 2021 15:08:27 UTC (2,810 KB)
[v2] Mon, 19 Jul 2021 12:56:10 UTC (2,809 KB)
Full-text links:

Access Paper:

view license
Current browse context:
hep-ph
< prev   |   next >
new | recent | 2021-06
Change to browse by:
hep-lat

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender (What is IArxiv?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)