Mellin Moments in Partonic Distributions: Insights into Hadronic Structure and Sustainability

DOI

10.2991/978-94-6463-876-9_8How to use a DOI?

Keywords

Parton distribution functions; Mellin moments; Deep inelastic scattering; Quantum Chromodynamics

Abstract

Parton Distribution Functions (PDFs) are fundamental tools in high-energy physics, providing insights into the momentum distribution of quarks and gluons within hadrons. They denote the probability density of finding a parton of type i carrying a momentum fraction x of the hadron’s momentum at an energy scale Q². These functions are crucial for predicting cross-sections and understanding hadronic structure. PDFs are determined through global fits to experimental data, which include deep inelastic scattering (DIS) and hadron collider experiments. Mellin moments of PDFs offer a simplified approach to analyzing these distributions by transforming their x-dependence into n-dependence, which facilitates theoretical calculations and experimental comparisons. This paper explores the significance of Mellin moments in both the context of high-energy physics and their broader implications for sustainable science and technology. We discuss the theoretical framework of PDFs and Mellin moments, highlighting their roles in understanding hadronic structure and their utility in perturbative Quantum Chromodynamics (QCD). We elaborate on current calculation techniques, including numerical integration methods and analytical approaches, emphasizing advancements that enhance accuracy and computational efficiency. By aligning high-energy physics research with sustainable practices, we can contribute to a more efficient and environmentally responsible future.

Copyright

© 2025 The Author(s)

Open Access

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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TY  - CONF
AU  - Akbari Jahan
AU  - Diptimonta Neog
PY  - 2025
DA  - 2025/10/23
TI  - Mellin Moments in Partonic Distributions: Insights into Hadronic Structure and Sustainability
BT  - Proceedings of the International Conference on Sustainable Science and Technology for Tomorrow (SciTech 2024)
PB  - Atlantis Press
SP  - 80
EP  - 87
SN  - 3091-4442
UR  - https://doi.org/10.2991/978-94-6463-876-9_8
DO  - 10.2991/978-94-6463-876-9_8
ID  - Jahan2025
ER  -