One-loop pseudoscalar mass in a 2HDM with a $Z_3$ symmetry
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913906360844288 |
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| author | Ferreira, P. M. Pinto, Tomás F. |
| author_facet | Ferreira, P. M. Pinto, Tomás F. |
| contents | A two-Higgs doublet model with a discrete $Z_3$ symmetry acquires, in its scalar and gauge sectors, an accidental continuous $U(1)$ symmetry. One therefore finds, after spontaneous symmetry breaking of those symmetries, that a massless pseudoscalar arises, as expected by Goldstone's theorem. In the fermion sector, however, it is possible to obtain Yukawa matrix textures which distinguish between the $Z_3$ and $U(1)$ symmetries, so one expects loop corrections to originate a non-zero pseudoscalar mass for the $Z_3$ case. We perform an explicit calculation that shows that at one-loop the pseudoscalar remains massless for all but one tested $Z_3$ Yukawa matrices. The pseudoscalar mass thus found is highly suppressed by the hierarchy of fermion masses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11602 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | One-loop pseudoscalar mass in a 2HDM with a $Z_3$ symmetry Ferreira, P. M. Pinto, Tomás F. High Energy Physics - Phenomenology A two-Higgs doublet model with a discrete $Z_3$ symmetry acquires, in its scalar and gauge sectors, an accidental continuous $U(1)$ symmetry. One therefore finds, after spontaneous symmetry breaking of those symmetries, that a massless pseudoscalar arises, as expected by Goldstone's theorem. In the fermion sector, however, it is possible to obtain Yukawa matrix textures which distinguish between the $Z_3$ and $U(1)$ symmetries, so one expects loop corrections to originate a non-zero pseudoscalar mass for the $Z_3$ case. We perform an explicit calculation that shows that at one-loop the pseudoscalar remains massless for all but one tested $Z_3$ Yukawa matrices. The pseudoscalar mass thus found is highly suppressed by the hierarchy of fermion masses. |
| title | One-loop pseudoscalar mass in a 2HDM with a $Z_3$ symmetry |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2504.11602 |