Revisiting parton evolution and the large-x limit

University of Milan, Milano, Lombardy, Italy
Physics Letters B (Impact Factor: 6.13). 12/2005; 634(5-6):504-507. DOI: 10.1016/j.physletb.2006.02.023
Source: arXiv


This remark is part of an ongoing project to simplify the structure of the multi-loop anomalous dimensions for parton distributions and fragmentation functions. It answers the call for a “structural explanation” of a “very suggestive” relation found by Moch, Vermaseren and Vogt in the context of the x→1 behaviour of three-loop DIS anomalous dimensions. It also highlights further structure that remains to be fully explained.

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    • "The reciprocity-respecting splitting function P(x) [73] [74], related to P(M ) through a Mellin transformation, should satisfy the Gribov-Lipatov relation [76] P(x) = − x P 1 x (2.14) at all orders of perturbation theory. "
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    • "For the reconstruction of the general expression for the anomalous dimension of the twist-2 operators, coming from the ABA one can used results for the definite values of M . For the full anomalous dimension besides analytical properties we can used a generalized Gribov-Lipatov relation [71] [72] and looking for the reciprocityrespecting function, instead of the anomalous dimension, which is related to each other through: "
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