Automatic generation of orthogonal multiplet bases in $\mathrm{SU}(N_c)$ color space
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911825989206016 |
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| author | Chargeishvili, Bakar |
| author_facet | Chargeishvili, Bakar |
| contents | We present a software that automatically generates a multiplet color basis for general $2 \to n$ processes in quantum chromodynamics (QCD). The construction process is guided by the decomposition of the corresponding $\mathrm{SU}(N_c)$ representation into a direct sum of irreducible representations. The projectors of these irreducible multiplet states are then used to construct a minimal, linearly independent basis. The software achieves highest efficiency through a combination of the Z3 satisfiability modulo theories solver and the symbolic manipulation program FORM. The resulting color basis enables the analytical execution of involved QCD calculations that require color decomposition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02443 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Automatic generation of orthogonal multiplet bases in $\mathrm{SU}(N_c)$ color space Chargeishvili, Bakar High Energy Physics - Phenomenology We present a software that automatically generates a multiplet color basis for general $2 \to n$ processes in quantum chromodynamics (QCD). The construction process is guided by the decomposition of the corresponding $\mathrm{SU}(N_c)$ representation into a direct sum of irreducible representations. The projectors of these irreducible multiplet states are then used to construct a minimal, linearly independent basis. The software achieves highest efficiency through a combination of the Z3 satisfiability modulo theories solver and the symbolic manipulation program FORM. The resulting color basis enables the analytical execution of involved QCD calculations that require color decomposition. |
| title | Automatic generation of orthogonal multiplet bases in $\mathrm{SU}(N_c)$ color space |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2404.02443 |