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

Paul Caucal1, Farid Salazar2,3,4,5, Björn Schenke6

  • 1SUBATECH UMR 6457, IMT Atlantique, Université de Nantes, IN2P3/CNRS, 4 rue Alfred Kastler, 44307 Nantes, France.

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Summary
This summary is machine-generated.

We calculated dijet cross sections in deep inelastic scattering at small x using the Color Glass Condensate theory. This work separates Sudakov suppression and gluon saturation dynamics for future Electron-Ion Collider tests.

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Area of Science:

  • High-energy particle physics
  • Quantum Chromodynamics (QCD)
  • Effective field theories

Background:

  • Deep inelastic scattering (DIS) at small Bjorken-x probes the high-density gluon regime of QCD.
  • The Color Glass Condensate (CGC) effective field theory is crucial for describing phenomena at small x.
  • Understanding dijet production provides insights into fundamental QCD dynamics.

Purpose of the Study:

  • To compute the back-to-back dijet cross section in DIS at small x to next-to-leading order (NLO).
  • To quantitatively separate the dynamics of Sudakov suppression and gluon saturation.
  • To provide a framework for precision tests of QCD at the future Electron-Ion Collider (EIC).

Main Methods:

  • Utilizing the Color Glass Condensate effective field theory.
  • Factorizing the cross section into Weizsäcker-Williams gluon transverse-momentum-dependent distribution functions (WW gluon TMDs), a soft factor, and an NLO coefficient function.
  • Applying renormalization group (RG) evolution to resum logarithms and deriving exact analytical expressions for the NLO coefficient function.

Main Results:

  • The dijet cross section is factorized into WW gluon TMDs, a soft factor with resummed RG evolution (Sudakov factor), and an NLO coefficient function.
  • Exact analytical expressions for the NLO coefficient function for both transversely and longitudinally polarized photons are obtained.
  • A quantitative separation of Sudakov suppression and gluon saturation dynamics is achieved.

Conclusions:

  • The developed framework allows for precise separation of key QCD dynamics in dijet production.
  • The results are extendable to other final states, offering a versatile tool for QCD studies.
  • This work lays the groundwork for precision tests of novel QCD many-body dynamics at the EIC.