A fast and precise method to solve the Altarelli-Parisi equations in x space
C. Pascaud, F. Zomer
TL;DR
The paper introduces a rapid and accurate numerical method for solving the Altarelli-Parisi equations directly in x space, improving precision in QCD evolution calculations.
Contribution
It presents a novel numerical approach for solving linear integro-differential equations, specifically applied to QCD Altarelli-Parisi evolution equations, with detailed mathematical and approximation analysis.
Findings
Method achieves high precision in solving Altarelli-Parisi equations.
Application within H1 Collaboration demonstrates practical effectiveness.
Numerical approach enhances computational efficiency.
Abstract
A numerical method to solve linear integro-differential equations is presented. This method has been used to solve the QCD Altarelli-Parisi evolution equations within the H1 Collaboration at DESY-Hamburg. Mathematical aspects and numerical approximations are described. The precision of the method is discussed.
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Taxonomy
TopicsHigh-Energy Particle Collisions Research · Quantum Chromodynamics and Particle Interactions