Holographic Non-Abelian Flavour Symmetry Breaking
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916332055822336 |
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| author | Erdmenger, Johanna Evans, Nick Liu, Yang Porod, Werner |
| author_facet | Erdmenger, Johanna Evans, Nick Liu, Yang Porod, Werner |
| contents | We investigate a holographic model for both spontaneous and explicit symmetry breaking of non-abelian flavour symmetries. This consists of a bottom-up model inspired by the top-down D3/D7 probe brane model that incorporates the running anomalous dimensions of the fields. We ensure that in the holographic bulk, the full non-abelian flavour symmetries for massless quarks are present. The quark masses are spontaneously generated field values in the bulk and there is a resultant bulk Higgs mechanism. We provide a numerical technique to find the mass eigenvalues for a system of coupled holographic fields. We test this approach using an analytic model of ${\cal N}=2$ supersymmetric matter. We apply this approach to two-flavour QCD with both $u-d$ quark mass splitting and multi-trace bulk action terms that are expected to break $U(N_f)_V$ to $SU(N_f)_V \times U(1)_V$ away from large $N_c$. We also discuss three-flavour QCD with strange quark mass splitting and applications to more exotic symmetry breaking patterns of potential relevance for composite Higgs models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_09190 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Holographic Non-Abelian Flavour Symmetry Breaking Erdmenger, Johanna Evans, Nick Liu, Yang Porod, Werner High Energy Physics - Theory High Energy Physics - Phenomenology We investigate a holographic model for both spontaneous and explicit symmetry breaking of non-abelian flavour symmetries. This consists of a bottom-up model inspired by the top-down D3/D7 probe brane model that incorporates the running anomalous dimensions of the fields. We ensure that in the holographic bulk, the full non-abelian flavour symmetries for massless quarks are present. The quark masses are spontaneously generated field values in the bulk and there is a resultant bulk Higgs mechanism. We provide a numerical technique to find the mass eigenvalues for a system of coupled holographic fields. We test this approach using an analytic model of ${\cal N}=2$ supersymmetric matter. We apply this approach to two-flavour QCD with both $u-d$ quark mass splitting and multi-trace bulk action terms that are expected to break $U(N_f)_V$ to $SU(N_f)_V \times U(1)_V$ away from large $N_c$. We also discuss three-flavour QCD with strange quark mass splitting and applications to more exotic symmetry breaking patterns of potential relevance for composite Higgs models. |
| title | Holographic Non-Abelian Flavour Symmetry Breaking |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2304.09190 |