Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-12-22
Phys.Lett. B448 (1999) 295-302
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, no figures, latex. Final version, to be published in Phys. Lett. B. A few typos corrected; derivation of eq.(9) impr
Scientific paper
10.1016/S0370-2693(99)00065-9
We derive evolution equations satisfied by moments of parton distributions when the integration over the Bjorken variable is restricted to a subset (x_0 <= 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 alpha_s from scaling violations.
Forte Stefano
Magnea Lorenzo
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