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:1503.00541 (hep-ph)
[Submitted on 2 Mar 2015 (v1), last revised 7 Jul 2015 (this version, v3)]

Title:How to perform QCD analysis of DIS in Analytic Perturbation Theory

Authors:Cesar Ayala, S. V. Mikhailov
View PDF
Abstract:We apply (Fractional) Analytic Perturbation Theory (FAPT) to the QCD analysis of the nonsinglet nucleon structure function $F_2(x,Q^2)$ in deep inelastic scattering up to the next leading order and compare the results with ones obtained within the standard perturbation QCD. Based on a popular parameterization of the corresponding parton distribution we perform the analysis within the Jacobi Polynomial formalism and under the control of the numerical inverse Mellin transform. To reveal the main features of the FAPT two-loop approach, we consider a wide range of momentum transfer from high $Q^2\sim 100 {\rm GeV}^2$ to low $Q^2\sim 0.3 {\rm GeV}^2$ where the approach still works.
Comments: 14 pages, 4 figures, 1 table; v3: Improve clarity and some details, references are also added. Version accepted for publication in PRD
Subjects: High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:1503.00541 [hep-ph]
  (or arXiv:1503.00541v3 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.1503.00541
Journal reference: Phys.Rev. D92 (2015) 1, 014028
Related DOI: https://doi.org/10.1103/PhysRevD.92.014028

Submission history

From: Cesar Ayala [view email]
[v1] Mon, 2 Mar 2015 14:27:25 UTC (463 KB)
[v2] Wed, 18 Mar 2015 22:09:56 UTC (463 KB)
[v3] Tue, 7 Jul 2015 15:18:01 UTC (466 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
hep-ph
< prev   |   next >
new | recent | 2015-03

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?)