Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-06-23
Nucl.Phys. B594 (2001) 46-70
Physics
High Energy Physics
High Energy Physics - Phenomenology
23 pages, 6 figures, LaTeX; factors of 2nf in Appendix C corrected
Scientific paper
10.1016/S0550-3213(00)00670-2
We define truncated Mellin moments of parton distributions by restricting the integration range over the Bjorken variable to the experimentally accessible subset x_0 < x < 1 of the allowed kinematic range 0 < x < 1. We derive the evolution equations satisfied by truncated moments in the general (singlet) case in terms of an infinite triangular matrix of anomalous dimensions which couple each truncated moment to all higher moments with orders differing by integers. We show that the evolution of any moment can be determined to arbitrarily good accuracy by truncating the system of coupled moments to a sufficiently large but finite size, and show how the equations can be solved in a way suitable for numerical applications. We discuss in detail the accuracy of the method in view of applications to precision phenomenology.
Forte Stefano
Magnea Lorenzo
Piccione Andrea
Ridolfi Giovanni
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