Back-to-Back Inclusive Dijets in Deep Inelastic Scattering at Small $x$: Complete NLO Results and Predictions

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Back-to-Back Inclusive Dijets in Deep Inelastic Scattering at Small $x$ : Complete NLO Results and Predictions

Paul Caucal, Farid Salazar, Björn Schenke, Tomasz Stebel, and Raju Venugopalan

Phys. Rev. Lett. 132, 081902 – Published 20 February 2024

Abstract

We compute the back-to-back dijet cross section in deep inelastic scattering at small $x$ to next-to-leading order (NLO) in the color glass condensate effective field theory. Our result can be factorized into a convolution of the Weizsäcker-Williams gluon transverse-momentum-dependent distribution function (WW gluon TMD) with a universal soft factor and an NLO coefficient function. The soft factor includes both double and single logarithms in the ratio of the relative transverse momentum $P_{⊥}$ of the dijet pair to the dijet momentum imbalance $q_{⊥}$ ; its renormalization group (RG) evolution is resummed into the Sudakov factor. Likewise, the WW TMD obeys a nonlinear RG equation in $x$ that is kinematically constrained to satisfy both the lifetime and rapidity ordering of the projectile. Exact analytical expressions are obtained for the NLO coefficient function of transversely and longitudinally polarized photons. Our results allow for the first quantitative separation of the dynamics of Sudakov suppression from that of gluon saturation. They can be extended to other final states and provide a framework for precision tests of novel QCD many-body dynamics at the Electron-Ion Collider.

Received 12 August 2023
Revised 16 January 2024
Accepted 30 January 2024

DOI:https://doi.org/10.1103/PhysRevLett.132.081902

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Deep inelastic scattering Perturbative QCD QCD phenomenology Quantum chromodynamics Quark & gluon jets Resummation methods Transverse momentum dependent distribution

Particles & Fields

Authors & Affiliations

Paul Caucal ^1,*, Farid Salazar ^2,3,4,5,†, Björn Schenke^6,‡, Tomasz Stebel ^7,§, and Raju Venugopalan^6,∥

¹SUBATECH UMR 6457, IMT Atlantique, Université de Nantes, IN2P3/CNRS, 4 rue Alfred Kastler, 44307 Nantes, France
²Lawrence Berkeley National Laboratory, Nuclear Science Division, Berkeley, California 94720, USA
³Physics Department, University of California, Berkeley, California 94720, USA
⁴Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA
⁵Mani L. Bhaumik Institute for Theoretical Physics, University of California, Los Angeles, California 90095, USA
⁶Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA
⁷Institute of Theoretical Physics, Jagiellonian University, ulica Lojasiewicza 11, 30-348 Kraków, Poland

^*caucal@subatech.in2p3.fr
^†salazar@lbl.gov
^‡bschenke@bnl.gov
^§tomasz.stebel@uj.edu.pl
^∥raju@bnl.gov

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Issue

Vol. 132, Iss. 8 — 23 February 2024

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