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Factorization Restoration through Glauber Gluons.

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Physical Review Letters
|February 28, 2025
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Summary
This summary is machine-generated.

We analyzed low-energy dynamics in high-energy particle collisions. Our study identifies specific gluon exchanges crucial for understanding particle interactions and factorization below a key energy scale.

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Area of Science:

  • High Energy Physics
  • Quantum Chromodynamics
  • Hadron Collider Physics

Background:

  • Collinear cancellations in hard scattering amplitudes are essential for theoretical predictions in particle physics.
  • Phase factors in amplitudes can disrupt these cancellations, leading to complex logarithmic behaviors.
  • Understanding cross sections in gap-between-jets events is crucial for precise measurements at hadron colliders.

Purpose of the Study:

  • To analyze the low-energy dynamics of gap-between-jets cross sections.
  • To resolve the issue of spoiled collinear cancellations and double logarithmic behavior.
  • To ensure consistency with Parton Distribution Function (PDF) factorization below the gap veto scale.

Main Methods:

  • Employed a method-of-regions analysis to dissect the complex dynamics.
  • Identified specific three-loop contributions from perturbative active-active Glauber-gluon exchanges.
  • Utilized dimensional regularization as the primary theoretical tool.

Main Results:

  • Discovered that Glauber-gluon exchanges possess the correct structure to restore consistency.
  • Demonstrated that these contributions resolve the double logarithmic behavior.
  • Established that the identified Glauber contributions are unambiguously defined without additional regulators.

Conclusions:

  • The identified Glauber contributions are essential for a consistent theoretical description of gap-between-jets cross sections.
  • This work provides a pathway to reconcile perturbative calculations with PDF factorization in a challenging kinematic regime.
  • The findings are vital for precise theoretical predictions in high-energy particle physics experiments.