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Orthogonal multiplet bases in SU$$(N_c)$$ color space. (English) Zbl 1397.81452
Summary: 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 $$N_c$$. The bases are constructed using hermitian gluon projectors onto irreducible subspaces invariant under $$\text{SU}(N_c)$$. Thus, each basis vector is associated with an irreducible representation of $$\text{SU}(N_c)$$. The resulting multiplet bases are not only orthogonal, but also minimal for finite $$N_c$$. As a consequence, for calculations involving many colored particles, the number of basis vectors is reduced significantly compared to standard approaches employing over-complete bases. We exemplify the method by constructing multiplet bases for all processes involving a total of 6 external colored partons.

##### MSC:
 81V25 Other elementary particle theory in quantum theory
##### Keywords:
QCD phenomenology; NLO computations
ALPGEN; OEIS
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