Truncated first moment of the parton distribution – A modified approach
Division of Physics, Opole University of Technology, Ozimska 75, 45-370, Opole, Poland
2 Division of Mathematics, Opole University of Technology, Luboszycka 3, 45-036, Opole, Poland
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Revised: 30 August 2006
Published online: 24 October 2006
We derive the LO DGLAP evolution equation for the full Mellin moments of the first moment of the nonsinglet parton distribution truncated at x0. This “moment of moment” approach allows one to determine the small-x0 behaviour of the truncated first moment. We compare our predictions to results obtained from x-space solutions for parton distributions with use of the Chebyshev-polynomial method and to solutions of the evolution equations for the truncated moments proposed by other authors. The comparison is performed for different input parametrisations for 10-5≤x0≤0.1 and 1≤Q2≤100 GeV2. We give an example of an application to the determination of the contribution to the Bjorken sum rule.
© Springer-Verlag Berlin Heidelberg, 2006