Evolution and interpolation of double parton distributions using Chebyshev grids.

Area of Science:

• High Energy Physics
• Quantum Chromodynamics
• Hadron Physics

Background:

• Double parton distributions (DPDs) are essential for calculating double parton scattering (DPS) in hadron-hadron collisions.
• DPDs describe correlations between two partons within a hadron.
• Their complex nature, involving multiple variables and renormalization scales, poses computational challenges for scale evolution.

Purpose of the Study:

• To address the computational challenges in calculating the scale evolution of double parton distributions.
• To develop a numerically accurate and computationally efficient method for studying DPDs.
• To extend previous methods for single-parton distributions to the double parton case.

Main Methods:

• Utilizing interpolation on Chebyshev grids to compute the scale evolution of DPDs.
• Extending previously developed methods for ordinary single-parton distributions.
• Implementing these methods in the C++ library ChiliPDF.

Main Results:

• Demonstrated a solution for accurate and manageable computation of DPD scale evolution.
• Successfully studied the evolution of double parton distributions beyond leading order in perturbation theory for the first time.
• The developed methods provide a robust framework for future theoretical and experimental investigations.

Conclusions:

• Interpolation on Chebyshev grids offers an effective solution for calculating double parton distribution evolution.
• This work paves the way for more precise theoretical predictions in high-energy physics.
• The study highlights the importance of advanced computational techniques in advancing our understanding of hadron structure and interactions.