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Area of Science:

  • High Energy Physics
  • Quantum Chromodynamics (QCD)
  • Particle Collisions

Background:

  • Event shape variables are crucial for analyzing particle collision data.
  • Understanding subleading power corrections is essential for precise theoretical predictions in QCD.
  • Previous studies have focused on leading-order calculations, necessitating deeper investigation into higher-order corrections.

Purpose of the Study:

  • To analytically compute subleading power corrections to event shape variables in collisions.
  • To investigate the origin of power-suppressed contributions in the two-jet limit.
  • To extend the analysis to various observables including thrust and the C-parameter.

Main Methods:

  • Analytical computation of cumulative cross sections for jettiness and resolution variables.
  • Investigation of phase space coverage to understand power-suppressed contributions.
  • Extension of the analysis to thrust, C-parameter, and a class of continuous parameter-dependent observables.

Main Results:

  • Identified and quantified subleading power corrections to jettiness and resolution variables at first order in the QCD coupling.
  • Traced the origin of different power-suppressed contributions to their phase space coverage in the two-jet limit.
  • Evaluated subleading power corrections for thrust, C-parameter, and a family of continuous parameter-dependent observables.

Conclusions:

  • The study provides a comprehensive analysis of subleading power corrections in collisions.
  • The findings enhance the precision of theoretical predictions for event shape variables in high-energy physics.
  • This work offers a framework for analyzing a broader class of observables sensitive to subleading power effects.