Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2012-02-20
Physics
High Energy Physics
High Energy Physics - Phenomenology
50 pages with 16 figures
Scientific paper
Parton shower Monte Carlo event generators in which the shower evolves from hard splittings to soft splittings generally use the leading color approximation, which is the leading term in an expansion in powers of $1/N_c^2$, where $N_c = 3$ is the number of colors. We introduce a more general approximation, the LC+ approximation, that includes some of the color suppressed contributions. There is a cost: each generated event comes with a weight. There is a benefit: at each splitting the leading soft$\times$collinear singularity and the leading collinear singularity are treated exactly with respect to color. In addition, an LC+ shower can start from a state of the color density matrix in which the bra state color and the ket state color do not match.
Nagy Zoltan
Soper Davison E.
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