Two-loop anomalous dimension in light-cone gauge with Mandelstam-Leibbrandt prescription

Details Two-loop anomalous dimension in light-cone gauge with Mandelstam-Leibbrandt prescription Two-loop anomalous dimension in light-cone gauge with Mandelstam-Leibbrandt prescription

1997-08-13

arxiv.org/abs/hep-ph/9708334v1

Nucl.Phys. B519 (1998) 405-432

Physics

High Energy Physics

High Energy Physics - Phenomenology

31 pages, LaTeX

Scientific paper

10.1016/S0550-3213(98)00089-3

All the next-to-leading order results on Altarelli-Parisi splitting functions have been obtained in the literature either by using the operator product expansion method or by making use of the Curci Furmanski Petronzio (CFP) formalism in conjunction with light-like axial gauge, principal value (PV) prescription and dimensional regularization. In this paper we present the calculation of some non-singlet two-loop anomalous dimensions within the CFP formalism using light-cone axial gauge with Mandelstam-Leibbrandt (ML) prescription. We make a detailed comparison between the intermediate results given by the (PV) versus the (ML) method. We point out that the (ML) method is completely consistent and avoids the ``phenomenological rules'' used in the case of (PV) regularization.

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