Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-05-11
Phys.Rev. D58 (1998) 094020
Physics
High Energy Physics
High Energy Physics - Phenomenology
41 Pages, LaTeX, 8 figures and tables as eps files
Scientific paper
10.1103/PhysRevD.58.094020
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.
Bassetto Antonio
Heinrich Georg
Kunszt Zoltan
Vogelsang Werner
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