Abstract
Light pseudoscalars known as axion like particles (ALPs) may be behind physical phenomena like the Universe transparency to ultra-energetic photons, the soft $\gamma$-ray excess from the Coma cluster, and the 3.5 keV line. We explore the connection of these particles with the inverse seesaw (ISS) mechanism for neutrino mass generation. We propose a very restrictive setting where the scalar field hosting the ALP is also responsible for generating the ISS mass scales through its vacuum expectation value on gravity induced nonrenormalizable operators. A discrete gauge symmetry protects the theory from the appearance of overly strong gravitational effects and discrete anomaly cancellation imposes strong constraints on the order of the group. The anomalous U$(1)$ symmetry leading to the ALP is an extended lepton number and the protective discrete symmetry can be always chosen as a subgroup of a combination of the lepton number and the baryon number.
Highlights
We deal with the problem of stabilizing both the mass scales in the inverse seesaw (ISS) mechanism and the axion like particles (ALPs) mass in face of gravitational interactions
At the same time that the U(1)X symmetry breaking scale leads to the correct mass scales for the ISS mechanism, we look for models where the ALP coupling with photons and the ALP mass have values that allow the explanation of three hinted astrophysical phenomena: the anomalous Universe transparency for very energetic γ-ray [28,29,30,31,32,33,34,35,36,37], the soft X-ray excess from the Coma cluster [38,39,40,41,42], and the X-ray line at 3.5 keV [43,44,45,46]
We have generically studied the construction of models where one ALP results from a scalar singlet carrying an anomalous extension of the lepton number L of the SM
Summary
We start by showing the main elements that need to be considered in our constructions containing just one complex scalar field whose vev generates the energy scales involved in the ISS mechanism, and which are assumed to be associated with new physics beyond the SM. We show that besides having its value constrained to be within a range that allows active neutrinos to have masses at the sub-eV scale, vσ can furnish an ALP-photon coupling as required for explaining the mentioned astrophysical phenomena. The values for the ALP scale vσ and the operator dimension D inducing the correct mass with coupling in the range gaγ/Caγ ≈ 10−17–10−12 GeV−1 are shown in table 1. - 40- 38- 36- 34- 32- 30- 28- 26- 24- 22- 20- 18- 16- 14- 12- 10 - 8 - 6 - 4 - 2 0 2 4 6 Log 10 m a [eV ]
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