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arXiv · hep-ph/9805283

The light-cone gauge and the calculation of the two-loop splitting functions

A. Bassetto·G. Heinrich·Z. Kunszt·W. Vogelsang
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Abstract

We present calculations of next-to-leading order QCD splitting functions, employing the light-cone gauge method of Curci, Furmanski, and Petronzio (CFP). In contrast to the `principal-value' prescription used in the original CFP paper for dealing with the poles of the light-cone gauge gluon propagator, we adopt the Mandelstam-Leibbrandt prescription which is known to have a solid field-theoretical foundation. We find that indeed the calculation using this prescription is conceptionally clear and avoids the somewhat dubious manipulations of the spurious poles required when the principal-value method is applied. We reproduce the well-known results for the flavour non-singlet splitting function and the N_C^2 part of the gluon-to-gluon singlet splitting function, which are the most complicated ones, and which provide an exhaustive test of the ML prescription. We also discuss in some detail the x=1 endpoint contributions to the splitting functions.

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A. Bassetto, G. Heinrich, Z. Kunszt, W. Vogelsang. 1998-05-11. The light-cone gauge and the calculation of the two-loop splitting functions. https://doi.org/10.1103/physrevd.58.094020

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