1998/12/31 by Stefano Forte, Lorenzo Magnea · 27 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Integer (computer science) #Matrix (chemical analysis) #Moment (physics) #Particle physics theoretical and experimental studies #Parton #Quantum Chromodynamics and Particle Interactions #Range (aeronautics) #Scaling #Series (stratigraphy) #Variable (mathematics) #hep-ph
paper · pdf · doi:10.1016/s0370-2693(99)00065-9
published in Physics Letters B 448(3-4), 295-302 (Elsevier BV) · 11 pages, no figures, latex. Final version, to be published in Phys. Lett. B. A few typos corrected; derivation of eq.(9) improved
arxiv created 1999/01/14 · openalex publication_date 1999/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We derive evolution equations satisfied by moments of parton distributions when the integration over the Bjorken variable is restricted to a subset (x0 <= x <= 1) of the allowed kinematical range 0<= x<= 1. The corresponding anomalous dimensions turn out to be given by a triangular matrix which couples the N--th truncated moment with all (N + K)--th truncated moments with integer K >= 0. We show that the series of couplings to higher moments is convergent and can be truncated to low orders while retaining excellent accuracy. We give an example of application to the determination of alphas from scaling violations.