Efficient Color-Dressed Calculation of Virtual Corrections

Autor: Giele, Walter, Kunszt, Zoltan, Winter, Jan
Rok vydání: 2009
Předmět:
Zdroj: Nucl.Phys.B840:214-270,2010
Druh dokumentu: Working Paper
DOI: 10.1016/j.nuclphysb.2010.07.007
Popis: With the advent of generalized unitarity and parametric integration techniques, the construction of a generic Next-to-Leading Order Monte Carlo becomes feasible. Such a generator will entail the treatment of QCD color in the amplitudes. We extend the concept of color dressing to one-loop amplitudes, resulting in the formulation of an explicit algorithmic solution for the calculation of arbitrary scattering processes at Next-to-Leading order. The resulting algorithm is of exponential complexity, that is the numerical evaluation time of the virtual corrections grows by a constant multiplicative factor as the number of external partons is increased. To study the properties of the method, we calculate the virtual corrections to $n$-gluon scattering.
Comment: 48 pages, 23 figures
Databáze: arXiv