Light Majorana Neutrinos in (Semi)invisible Meson Decays

Abstract

We reconsider decays of pseudoscalar mesons (P) to neutrino pairs and possibly additional photons in presence of (light) Majorana neutrinos. For this purpose we derive a model-independent general parametrization of neutrino mass matrices with physically interpretable and irreducible set of parameters. The parametrization is valid for any number of neutrinos and interpolates smoothly between the heavy Majorana and the (pseudo)Dirac neutrino limits. We apply the new parametrization to the study of $P\to \nu \nu$ and $P\to \nu \nu \gamma$ decays within the SM extended by additional singlet fermions. We update the SM predictions for the branching ratios of $B_{s,d}\to \nu \nu \gamma$ and discuss the sensitivity of the $B_{s,d}\to E_{\mathrm{miss}}(\gamma )$ decays to neutrino mass and mixing parameters.

arXiv comment20 pages, 6 figures, added one appendix, conclusions unchanged, version as published

References in corpus (33)

• Evidence for oscillation of atmospheric neutrinos
• Sterile Neutrinos as Dark Matter
• Oscillating neutrinos and mu --> e, gamma
• The $\nu$MSM, Dark Matter and Baryon Asymmetry of the Universe
• Constraining Warm Dark Matter candidates including sterile neutrinos and light gravitinos with WMAP and the Lyman-alpha forest
• The $\nu$MSM, Dark Matter and Neutrino Masses
• The Search for Heavy Majorana Neutrinos
• A New Dark Matter Candidate: Non-thermal Sterile Neutrinos
• Status of neutrino oscillations 2018: first hint for normal mass ordering and improved CP sensitivity
• Sterile Neutrino Hot, Warm, and Cold Dark Matter
• Massive sterile neutrinos as warm Dark Matter
• Direct Detection of Warm Dark Matter in the X-ray
• Global constraints on heavy neutrino mixing
• TeV Scale See-Saw Mechanisms of Neutrino Mass Generation, the Majorana Nature of the Heavy Singlet Neutrinos and $\betabeta$-Decay
• Neutrinoless double beta decay versus other probes of heavy sterile neutrinos
• Dirac, Majorana and Weyl fermions
• B-meson decay constants from improved lattice NRQCD and physical u, d, s and c sea quarks
• Nnaturalness
• Combining Experimental and Cosmological Constraints on Heavy Neutrinos
• The minimal 3+2 neutrino model versus oscillation anomalies
• Effective Majorana mass matrix from tau and pseudoscalar meson lepton number violating decays
• Searching for light Dark Matter in heavy meson decays
• $N_{\mathrm{eff}}$ in low-scale seesaw models versus the lightest neutrino mass
• First lattice calculation of radiative leptonic decay rates of pseudoscalar mesons
• General parametrization of Majorana neutrino mass models
• Parametrization of Seesaw Models and Light Sterile Neutrinos
• Rare FCNC radiative leptonic $B_{s,d}\to \gamma l^{+}{l}^{-}$ decays in the Standard Model
• Minimal lepton flavor violating realizations of minimal seesaw models
• Invisible widths of heavy mesons
• Improved Limits on $B^0$ decays to invisible $(+\gamma )$ final states
• $B_s(B_d)\to \gamma \nu \bar{\nu }$ }
• Search for $B^0$ decays to invisible final states at Belle
• Rare B -> Nu Barnu Gamma Decay in Light Cone QCD Sum Rule

Cited by in corpus (2)

• The first limit on invisible decays of $B_s$ mesons comes from LEP
• Prospects of searches for invisible $B$-meson decays at FCC-ee