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Journal Article PUBDB-2023-03465

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Small-$x$ Factorization from Effective Field Theory

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2023
SISSA [Trieste]

Journal of high energy physics 09(9), 089 () [10.1007/JHEP09(2023)089]
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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.

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Note: 43 pgs

Contributing Institute(s):
  1. Theorie-Gruppe (T)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
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Small-$x$ Factorization from Effective Field Theory
[10.3204/PUBDB-2023-00736]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2023-05-25, last modified 2025-07-24