How to rule out $(g-2)_μ$ in $U(1)_{L_μ-L_τ}$ with White Dwarf Cooling
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929391756378112 |
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| author | Foldenauer, Patrick Zink, Jaime Hoefken |
| author_facet | Foldenauer, Patrick Zink, Jaime Hoefken |
| contents | In recent years, the gauge group $U(1)_{L_μ-L_τ}$ has received a lot of attention since it can, in principle, account for the observed excess in the anomalous muon magnetic moment $(g-2)_μ$, as well as the Hubble tension. Due to unavoidable, loop-induced kinetic mixing with the SM photon and $Z$, the $U(1)_{L_μ-L_τ}$ gauge boson $A'$ can contribute to stellar cooling via decays into neutrinos. In this work, we perform for the first time an \textit{ab initio} computation of the neutrino emissivities of white dwarf stars due to plasmon decay in a model of gauged $U(1)_{L_μ-L_τ}$. A key result is that current observations of the early-stage white dwarf neutrino luminosity at the 30\% level exclude previously allowed regions of the parameter space favoured by a simultaneous explanation of the $(g-2)_μ$ and $H_0$ anomalies. In this work, we present the relevant white dwarf cooling limits over the entire $A'$ mass range. In particular, we have performed a rigorous computation of the luminosities in the resonant regime, where the $A'$ mass is comparable to the white dwarf plasma frequencies. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_00094 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | How to rule out $(g-2)_μ$ in $U(1)_{L_μ-L_τ}$ with White Dwarf Cooling Foldenauer, Patrick Zink, Jaime Hoefken High Energy Physics - Phenomenology In recent years, the gauge group $U(1)_{L_μ-L_τ}$ has received a lot of attention since it can, in principle, account for the observed excess in the anomalous muon magnetic moment $(g-2)_μ$, as well as the Hubble tension. Due to unavoidable, loop-induced kinetic mixing with the SM photon and $Z$, the $U(1)_{L_μ-L_τ}$ gauge boson $A'$ can contribute to stellar cooling via decays into neutrinos. In this work, we perform for the first time an \textit{ab initio} computation of the neutrino emissivities of white dwarf stars due to plasmon decay in a model of gauged $U(1)_{L_μ-L_τ}$. A key result is that current observations of the early-stage white dwarf neutrino luminosity at the 30\% level exclude previously allowed regions of the parameter space favoured by a simultaneous explanation of the $(g-2)_μ$ and $H_0$ anomalies. In this work, we present the relevant white dwarf cooling limits over the entire $A'$ mass range. In particular, we have performed a rigorous computation of the luminosities in the resonant regime, where the $A'$ mass is comparable to the white dwarf plasma frequencies. |
| title | How to rule out $(g-2)_μ$ in $U(1)_{L_μ-L_τ}$ with White Dwarf Cooling |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.00094 |