Constraining dark matter from strong phase transitions in a $U(1)_{L_μ-L_τ}$ model: Implications for neutrino masses and muon $g-2$
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| Format: | Preprint |
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2024
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| _version_ | 1866911930546913280 |
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| author | Choubey, Sandhya Khan, Sarif Merchand, Marco Vihonen, Sampsa |
| author_facet | Choubey, Sandhya Khan, Sarif Merchand, Marco Vihonen, Sampsa |
| contents | In this paper, we study a non-minimal gauged $U(1)_{L_μ-L_τ}$ model, where we add two complex singlet scalars, three right-handed Majorana neutrinos (RHN), and a vector-like dark fermion to the Standard Model (SM), all non-trivially charged under the extra gauge symmetry. The model offers an easy resolution to the muon $(g-2)$ anomaly, which fixes the scale of spontaneous symmetry breaking. Furthermore, the two-zero minor structure in the RHN mass matrix provides successful predictions for neutrino oscillation parameters, including the Dirac phase. The extended scalar sector can easily induce first-order phase transitions. We identify all possible phase transition patterns in the three-dimensional field space. We quantify the associated gravitational waves from the sound wave source and demonstrate that the signatures can be observed in future space-based experiments. We find that strong first-order phase transitions require large values of scalar quartic couplings which constrain the scalar dark matter (DM) relic density to a maximum of $10^{-2}$ and $10^{-5}$ when we consider the DM direct detection bound. Nonetheless, the model successfully explains the DM relic density via contribution from the vector-like dark fermion. We show the allowed range of the model parameters that can address all the beyond SM issues targeted in this study. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_16460 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constraining dark matter from strong phase transitions in a $U(1)_{L_μ-L_τ}$ model: Implications for neutrino masses and muon $g-2$ Choubey, Sandhya Khan, Sarif Merchand, Marco Vihonen, Sampsa High Energy Physics - Phenomenology In this paper, we study a non-minimal gauged $U(1)_{L_μ-L_τ}$ model, where we add two complex singlet scalars, three right-handed Majorana neutrinos (RHN), and a vector-like dark fermion to the Standard Model (SM), all non-trivially charged under the extra gauge symmetry. The model offers an easy resolution to the muon $(g-2)$ anomaly, which fixes the scale of spontaneous symmetry breaking. Furthermore, the two-zero minor structure in the RHN mass matrix provides successful predictions for neutrino oscillation parameters, including the Dirac phase. The extended scalar sector can easily induce first-order phase transitions. We identify all possible phase transition patterns in the three-dimensional field space. We quantify the associated gravitational waves from the sound wave source and demonstrate that the signatures can be observed in future space-based experiments. We find that strong first-order phase transitions require large values of scalar quartic couplings which constrain the scalar dark matter (DM) relic density to a maximum of $10^{-2}$ and $10^{-5}$ when we consider the DM direct detection bound. Nonetheless, the model successfully explains the DM relic density via contribution from the vector-like dark fermion. We show the allowed range of the model parameters that can address all the beyond SM issues targeted in this study. |
| title | Constraining dark matter from strong phase transitions in a $U(1)_{L_μ-L_τ}$ model: Implications for neutrino masses and muon $g-2$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2406.16460 |