QCD Theory Meets Information Theory.

Area of Science:

• High-energy physics
• Computational physics
• Quantum chromodynamics

Background:

• Monte Carlo simulations are crucial for particle physics but often lack theoretical precision and systematic uncertainty quantification.
• Incorporating precision calculations from quantum chromodynamics (QCD) into simulations is computationally challenging.

Purpose of the Study:

• To develop a novel technique for integrating precision QCD calculations into particle-level Monte Carlo simulations.
• To ensure consistency between simulation predictions and theoretical calculations, including systematic uncertainties.

Main Methods:

• A reweighted Monte Carlo approach is proposed, minimizing an information-theoretic quantity under specific constraints.
• The method generates strictly positive weights, ensuring statistical validity and theoretical precision.
• Applicable to arbitrary observables and multiple observables simultaneously.

Main Results:

• The technique successfully incorporates systematic uncertainties absent in standard Monte Carlo predictions.
• Demonstrated proof of concept using event-shape observables and thrust calculations at electron-positron colliders.
• Highlighted the significance of previously unstudied logarithmic moments of event shapes.

Conclusions:

• The developed method offers a statistically powerful and theoretically precise computational tool for current and future collider experiments.
• This approach enhances the reliability of simulations by bridging the gap between theoretical predictions and experimental data.
• Opens new avenues for analyzing event shapes in collider physics.