Small-x factorization from effective field theory

Neill, Duff; Pathak, Aditya; Stewart, Iain W.

doi:10.1007/jhep09(2023)089

Title: Small-x factorization from effective field theory

Journal Article · 13 September 2023 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep09(2023)089 · OSTI ID:2228732

Neill, Duff ^[1];

^[2]; Stewart, Iain W. ^[3]

Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Massachusetts Institute of Technology, Cambridge, MA (United States); Massachusetts Institute of Technology, Cambridge, USA
Massachusetts Institute of Technology, Cambridge, MA (United States); Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); University of Manchester (United Kingdom); University of Vienna (Austria)
Massachusetts Institute of Technology, Cambridge, MA (United States)

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^μν in deep inelastic scattering, and leads to the definition of a new gauge invariant soft function S^μν 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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Research Organization:: Massachusetts Institute of Technology, Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Laboratory Directed Research and Development (LDRD) Program; UK Science and Technology Facilities Council (STFC); Simons Foundation

Grant/Contract Number:: SC0011090; AC52-06NA25396

OSTI ID:: 2228732

Alternate ID(s):: OSTI ID: 2439460

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2023; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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