186 research outputs found
Properties of color singlet chain states in annihilation
We use the method of the color effective Hamiltonian to study the structure
of color singlet chain states in and in the large limit. In order
to obtain their total fraction when is finite, we illustrate how to
orthogonalize these non-orthogonal states. We give numerical results for the
fraction of orthogonalized states in . With the help of a
diagram technique, we derive their fraction up to for the general
multigluon process. For large the singlet chain states correspond to
well-defined color topologies. Therefore we may expect that the fraction of
non-color-singlet-chain states is an estimate of the fraction of events where
color reconnection is possible. In the case of soft gluon bremsstrahlung, we
give an explicit form for the color effective Hamiltonian which leads to the
dipole cascade formulation for parton showering in leading order in . The
next-to-leading order corrections are also given for
and .Comment: RevTex, 23 pages, 5 figures; Phys. Rev. D accepted versio
- …