Mass hierarchies in gauge theory with two index symmetric representation matter
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915055253061632 |
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| author | Alfano, Anja Evans, Nick |
| author_facet | Alfano, Anja Evans, Nick |
| contents | In gauge theories, the running of the anomalous dimension of a fermion bilinear operator is believed to lead to chiral symmetry breaking when gamma=1. Naively using perturbative results to judge when gamma=1 leads to the possibility of large dynamically generated mass hierarchies in models with both two index symmetric representation and fundamental representation fermions. In this paper we study a holographic model of this physics to predict the separation in scales in the meson spectrum. We study SU(Nc) theories at different Nc with one flavour of two index symmetric representation as a function of the number of fundamental fermion flavours NfF. The largest hierarchy we find is for Nc=7 and NfF=22 where the rho mesons made of the two different representations are separated in scale by a factor of 13. For general Nc the hierarchy can be made greater than 7 by tuning NfF. We display the hierarchy as a function of NfF and investigate the quark mass dependence. These predictions do depend on the extrapolation of gamma from the perturbative regime - even in a pessimistic scenario a distinct gap can be achieved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07977 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mass hierarchies in gauge theory with two index symmetric representation matter Alfano, Anja Evans, Nick High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory In gauge theories, the running of the anomalous dimension of a fermion bilinear operator is believed to lead to chiral symmetry breaking when gamma=1. Naively using perturbative results to judge when gamma=1 leads to the possibility of large dynamically generated mass hierarchies in models with both two index symmetric representation and fundamental representation fermions. In this paper we study a holographic model of this physics to predict the separation in scales in the meson spectrum. We study SU(Nc) theories at different Nc with one flavour of two index symmetric representation as a function of the number of fundamental fermion flavours NfF. The largest hierarchy we find is for Nc=7 and NfF=22 where the rho mesons made of the two different representations are separated in scale by a factor of 13. For general Nc the hierarchy can be made greater than 7 by tuning NfF. We display the hierarchy as a function of NfF and investigate the quark mass dependence. These predictions do depend on the extrapolation of gamma from the perturbative regime - even in a pessimistic scenario a distinct gap can be achieved. |
| title | Mass hierarchies in gauge theory with two index symmetric representation matter |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2409.07977 |