Search for sharp and smooth spectral signatures of $\mu \nu$SSM gravitino dark matter with Fermi-LAT

Abstract

The $\mu \nu$SSM solves the $\mu$ problem of supersymmetric models and reproduces neutrino data, simply using couplings with right-handed neutrinos $\nu$'s. Given that these couplings break explicitly $R$ parity, the gravitino is a natural candidate for decaying dark matter in the $\mu \nu$SSM. In this work we carry out a complete analysis of the detection of $\mu \nu$SSM gravitino dark matter through $\gamma$-ray observations. In addition to the two-body decay producing a sharp line, we include in the analysis the three-body decays producing a smooth spectral signature. We perform first a deep exploration of the low-energy parameter space of the $\mu \nu$SSM taking into account that neutrino data must be reproduced. Then, we compare the $\gamma$-ray fluxes predicted by the model with Fermi-LAT observations. In particular, with the 95$\%$ CL upper limits on the total diffuse extragalactic $\gamma$-ray background using 50 months of data, together with the upper limits on line emission from an updated analysis using 69.9 months of data. For standard values of bino and wino masses, gravitinos with masses larger than about 4 GeV, or lifetimes smaller than $10^{28}$ s, produce too large fluxes and are excluded as dark matter candidates. However, when limiting scenarios with large and close values of the gaugino masses are considered, the constraints turn out to be less stringent, excluding masses larger than 17 GeV and lifetimes smaller than $4\times 10^{25}$ s.

Minor changes, references added, version published in JCAP. 23 pages, 7 figures, 3 tables

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• Searching for left sneutrino LSP at the LHC
• The case for decaying spin-3/2 dark matter
• MeV-GeV $\gamma$-ray telescopes probing axino LSP/gravitino NLSP as dark matter in the $\mu \nu$SSM
• Searching for Supersymmetry: The $\mu \nu$SSM
• Higgs boson decay $h\to Z\gamma$ and muon magnetic dipole moment in the $\mu \nu$SSM
• Sampling the $\mu \nu$SSM for displaced decays of the tau left sneutrino LSP at the LHC
• Impact of Higgs physics on the parameter space of the $\mu \nu$SSM
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• Towards understanding thermal history of the Universe through direct and indirect detection of dark matter
• Vacuum (meta-)stability in the $\mu \nu$SSM
• WIMP Dark Matter in the U$\mu \nu$SSM
• Lightest Higgs boson decays $h\to MZ$ in the $\mu$ from $\nu$ supersymmetric standard model
• Right-handed sneutrino and gravitino multicomponent dark matter in light of neutrino detectors
• Phenomenological implications of sterile neutrinos in the $\mu \nu$SSM and dark matter
• Dynamical backreaction of a mass-acquiring scalar field on first-order phase transitions
• Right-handed neutrinos, domain walls and tadpoles in the superstring inspired $\mu \nu$SSM
• Searching for stop LSP at the LHC
• Searching for Gluino LSP at the LHC