Preprint

PUBDB-2023-00736

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Small-$x$ Factorization from Effective Field Theory

Neill, D. (Corresponding author) ; Pathak, A.DESY* ; Stewart, I.

2023

This record in other databases:    

Please use a persistent id in citations: doi:10.3204/PUBDB-2023-00736

Report No.: DESY-23-024; MIT-CTP/5529; UWThPh 2023-3; arXiv:2303.13710

Abstract: We derive a factorization theorem that allows for resummation of small-$x$ logarithms by exploiting Glauber operators in the soft collinear effective field theory. Our analysis is carried out for the hadronic tensor $W^{\mu\nu}$ in deep inelastic scattering, and leads to the definition of a new gauge invariant soft function $S^{\mu\nu}$ that describes quark and gluon emission in the central region. This soft function provides a new framework for extending resummed calculations for coefficient functions to higher logarithmic orders. Our factorization also defines impact factors by universal collinear functions that are process independent, for instance being identical in small-$x$ DIS and Drell-Yan.

Keyword(s): invariance, gauge ; factorization ; deep inelastic scattering ; collinear ; effective field theory ; resummation ; quark ; Glauber ; gluon ; Drell-Yan process ; central region

Note: 43 pgs

---

Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2023

---

Database coverage:
; Published

---

---

Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Neill, D. ; Pathak, A. (Corresponding author)DESY* ; Stewart, I.
Small-$x$ Factorization from Effective Field Theory
Journal of high energy physics 09(9), 089 (2023) [10.1007/JHEP09(2023)089]2023     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

---