We propose a model where a long-lived pseudoscalar EeV particle can be produced with sufficient abundance so as to account for the cold dark matter density, despite having a Planck mass suppressed coupling to the thermal bath. Connecting this state to a hidden sterile neutrino sector through derivative couplings, induced by higher dimensional operators, allows one to account for light neutrino masses while having a lifetime that can be much larger than the age of the Universe. Moreover, the same derivative coupling accounts for the production of dark matter in the very first instant of the reheating. Given the sensitivity of the IceCube and ANITA collaborations, we study the possible signatures of such a model in the form of ultrahigh-energy cosmic rays in the neutrino sector, and show that such signals could be detected in the near future.
Bibliographical noteFunding Information:
The authors want to thank especially Marcos Garcia for very insightful discussions. This work was supported in part by the France-US PICS MicroDark and the ANR Grant No. Black-dS-String ANR-16-CE31-0004-01. The work of M. P. was supported by the Spanish Agencia Estatal de Investigación through the Grants No. FPA2015-65929-P (MINECO/FEDER, UE), No. PGC2018-095161-B-I00, IFT Centro de Excelencia Severo Ochoa SEV-2016-0597, and Red Consolider MultiDark FPA2017-90566-REDC. The research activities of L. H. are supported in part by the Department of Energy under Grant No. DE-FG02-13ER41976(de-sc0009913). This work was partially performed at the Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1607611. The work of LH has been partially performed during the workshop “Dark Matter as a Portal to New Physics” supported by Asia Pacific Center for Theoretical Physics. K. O. and M. P. would like to thank the Lawrence Berkeley National Laboratory for its hospitality during part of the realization of this work. M. P. would like to thank the Université Libre de Bruxelles for its hospitality during the last stages of the realization of this work. M. P. and L. H. would also like to thank the Paris-Saclay Particle Symposium with the support of the P2I and SPU research departments and the P2IO Laboratory of Excellence (program “Investissements d’avenir” ANR-11-IDEX-0003-01 Paris-Saclay and ANR-10-LABX-0038), as well as the IPhT. This project has received funding/support from the European Unions Horizon 2020 research and innovation programme under the Marie Skodowska-Curie grant agreements Elusives ITN No. 674896 and InvisiblesPlus RISE No. 690575. The work of K. O. was supported in part by the DOE Grant No. DE-SC0011842 at the University of Minnesota.
© 2020 authors.