Orthogonal multiplet bases in SU(Nc) color space

A bstract 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 SU( N c ). Thus, each b...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2012; no. 9
Main Authors Keppeler, Stefan, Sjödahl, Malin
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.09.2012
Springer Nature B.V
Subjects
Classical and Quantum Gravitation
Color
Elementary Particles
Fysik
Gluons
High energy physics
Mathematical analysis
Natural Sciences
Naturvetenskap
NLO Computations
Partons
Physical Sciences
Physics
Physics and Astronomy
Projectors
QCD Phenomenology
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Subatomic Physics
Subatomär fysik
Subspaces
NLO Computations
QCD Phenomenology
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Summary:A bstract 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 SU( N c ). Thus, each basis vector is associated with an irreducible representation of 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2012)124