Abstract
In recent years, the gauge group \( \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} \) 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 \( \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} \) gauge boson A′ can contribute to stellar cooling via decays into neutrinos. In this work, we perform for the first time an ab initio computation of the neutrino emissivities of white dwarf stars due to plasmon decay in a model of gauged \( \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} \). 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 H0 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.
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Acknowledgments
We would like to thank Maura E. Ramirez-Quezada for the profiles of the white dwarf used for the computation of the luminosities of this paper. We also want to acknowledge the VEGAS+ package [95] for multidimensional Monte Carlo integration. This research project was made possible through the access granted by the Galician Supercomputing Center (CESGA) to its supercomputing infrastructure. The supercomputer FinisTerrae III and its permanent data storage system have been funded by the Spanish Ministry of Science and Innovation, the Galician Government and the European Regional Development Fund (ERDF).
The work of PF was supported by the Spanish Agencia Estatal de Investigacion through the grants PID2021-125331NB-I00 and CEX2020-001007-S, funded by MCIN/AEI/10.13039/501100011033. The research of JHZ has received support from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska- Curie grant agreement No 860881-HIDDeN.
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Foldenauer, P., Zink, J.H. How to rule out (g − 2)μ in \( \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} \) with white dwarf cooling. J. High Energ. Phys. 2024, 96 (2024). https://doi.org/10.1007/JHEP07(2024)096
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DOI: https://doi.org/10.1007/JHEP07(2024)096