Orthogonal multiplet bases in SU(Nc) color space

Abstract

We develop a general recipe for constructing orthogonal bases for the calculation of color structures appearing in QCD for any number of partons and arbitrary Nc. The bases are constructed using hermitian gluon projectors onto irreducible subspaces invariant under SU(Nc). Thus, each basis vector is associated with an irreducible representation of SU(Nc). The resulting multiplet bases are not only orthogonal, but also minimal for finite Nc. As a consequence, for calculations involving many colored particles, the number of basis vectors is reduced significantly compared to standard approaches employing overcomplete bases. We exemplify the method by constructing multiplet bases for all processes involving a total of 6 external colored partons.

50 pages, 2 figures

References in corpus (4)

• Parton showers with quantum interference
• Subleading Nc improved Parton Showers
• New Identities among Gauge Theory Amplitudes
• Color evolution of 2 -> 3 processes

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