Evolution of parton distributions with truncated Mellin moments
Lorenzo Magnea, Stefano Forte
TL;DR
This paper introduces a new method for evolving parton distributions using truncated Mellin moments, which simplifies calculations without requiring small-x data, and demonstrates its rapid convergence and practical applications.
Contribution
The paper presents a novel, simplified evolution algorithm for truncated Mellin moments that does not depend on small-x assumptions, enhancing computational efficiency.
Findings
The evolution algorithm is simple and rapidly converging.
Applications of the method are outlined with practical examples.
The approach avoids the need for small-x parton distribution data.
Abstract
Evolution equations for parton distributions can be approximately diagonalized and solved in moment space without assuming any knowledge of the parton distribution in the region of small x. The evolution algorithm for truncated moments is simple and rapidly converging. Examples of applications are outlined.
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Taxonomy
TopicsStochastic processes and financial applications · Particle physics theoretical and experimental studies