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We investigated semi-inclusive jet production in deep inelastic scattering (DIS) at small x. The study shows jet definitions are controlled by virtuality, enabling factorization for improved understanding of quark momentum distributions.

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Area of Science:

  • High-energy particle physics
  • Quantum chromodynamics
  • Collider physics

Background:

  • Deep inelastic scattering (DIS) probes the structure of hadrons.
  • The color glass condensate (CGC) effective theory describes high-energy quantum chromodynamics.
  • Small-x physics is crucial for understanding parton distribution functions.

Purpose of the Study:

  • To study semi-inclusive jet production in DIS at small x.
  • To analyze the regime where photon virtuality (Q^2) significantly exceeds jet transverse momentum squared (P_⊥^2).
  • To investigate the factorization properties of the cross section for specific jet definitions.

Main Methods:

  • Utilizing the color dipole picture and the CGC effective theory.
  • Analyzing aligned jet configurations where one fermion carries most of the virtual photon's momentum.
  • Examining jet definitions controlled by virtuality rather than transverse momentum.

Main Results:

  • The cross section is dominated by aligned jet configurations in the specified kinematic limit.
  • Physically meaningful jet definitions are controlled by the struck quark's virtuality.
  • The next-to-leading order cross section admits factorization in terms of the sea quark transverse momentum dependent distribution.

Conclusions:

  • The study provides a framework for understanding jet production in DIS at small x.
  • Factorization in terms of quark transverse momentum dependent distributions is established for specific jet definitions.
  • The results connect to universal Dokshitzer-Gribov-Lipatov-Altarelli-Parisi and Sudakov evolution.