Radiative decays of cosmic background neutrinos in extensions of the MSSM with a vectorlike lepton generation

Amin Aboubrahim, Tarek Ibrahim, and Pran Nath

Phys. Rev. D 88, 013019 – Published 30 July 2013

Abstract

An analysis of radiative decays of the neutrinos $ν_{j} \to ν_{l} γ$ is discussed in minimal supersymmetric standard model extensions with a vector like lepton generation. Specifically we compute neutrino decays arising from the exchange of charginos and charged sleptons where the photon is emitted by the charged particle in the loop. It is shown that while the lifetime of the neutrino decay in the Standard Model is $\sim 10^{43} yrs$ for a neutrino mass of 50 meV, the current lower limit from experiment from the analysis of the Cosmic Infrared Background is $\sim 10^{12} yrs$ and thus beyond the reach of experiment in the foreseeable future. However, in the extensions with a vectorlike lepton generation the lifetime for the decays can be as low as $\sim 10^{12} - 10^{14} yrs$ and thus within reach of future improved experiments. The effect of $C P$ phases on the neutrino lifetime is also analyzed. It is shown that while both the magnetic and the electric transition dipole moments contribute to the neutrino lifetime, often the electric dipole moment dominates even for moderate size $C P$ phases.

Received 11 June 2013

DOI:https://doi.org/10.1103/PhysRevD.88.013019

Authors & Affiliations

Amin Aboubrahim^2,*,∥, Tarek Ibrahim^{1,2,†,§,∥}, and Pran Nath^3,4,‡,¶

¹Department of Physics, Faculty of Science, University of Alexandria, Alexandria 21511, Egypt
²Department of Physics, Faculty of Sciences, Beirut Arab University, Beirut 11-5020, Lebanon
³Department of Physics, Northeastern University, Boston, Massachusetts 02115-5000, USA
⁴KITP, University of California, Santa Barbara, California 93106-4030, USA

^*amin.b@bau.edu.lb
^†tarek-ibrahim@alex-sci.edu.eg
^‡nath@neu.edu
^§Permanent address: Department of Physics, Faculty of Science, University of Alexandria, Alexandria 21511, Egypt.
^∥Present address: Department of Physics, Faculty of Sciences, Beirut Arab University, Beirut 11-5020, Lebanon.
^¶Permanent address: Department of Physics, Northeastern University, Boston, MA 02115-5000, USA.

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Vol. 88, Iss. 1 — 1 July 2013

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Images

Figure 1
The diagrams that allow decay of the $ψ_{j}$ into $ψ_{l} + γ$ via supersymmetric loops involving the charginos and the staus where the photon is either emitted by the chargino (left) or by the stau (right) inside the loop.Reuse & Permissions
Figure 2
Variation of $ν_{3}$ lifetime versus $| m_{2} |$ for three values of $\tan β$ . Starting with the upper curve, $\tan β = 30$ , 40, 50. Other parameters have the values $| μ | = 100$ , $| f_{3} | = 1.5 \times 10^{- 7}$ , $| f_{3}^{'} | = 2 \times 10^{- 8}$ , $| f_{3}^{''} | = 8 \times 10^{- 9}$ , $| f_{4} | = | f_{4}^{'} | = | f_{4}^{''} | = 35$ , $| f_{5} | = 1.01 \times 10^{- 1}$ , $| f_{5}^{'} | = 5.3 \times 10^{- 1}$ , $| f_{5}^{''} | = 4 \times 10^{- 2}$ , $m_{N} = 200$ , $| A_{0} | = 500$ , $m_{E} = 260$ , $m_{0} = 300$ , $χ_{m_{2}} = 1.2$ , $χ_{μ} = 0.8$ , $χ_{3} = 0.3$ , $χ_{3}^{'} = 0.2$ , $χ_{3}^{''} = 0.6$ , $χ_{4} = 1.4$ , $χ_{4}^{'} = 1.1$ , $χ_{4}^{''} = 1.7$ , $χ_{5} = 1.7$ , $χ_{5}^{'} = 0.5$ , $χ_{5}^{''} = 0.7$ and $χ_{A_{0}} = 0.4$ . All masses are in GeV and phases in rad.Reuse & Permissions
Figure 3
Exhibition of the dependence of $ν_{3}$ lifetime on $m_{0}$ for three values of $\tan β$ . Starting with the upper curve, $\tan β = 30$ , 40, 50. Other parameters have the values $| μ | = 100$ , $| f_{3} | = 1.5 \times 10^{- 7}$ , $| f_{3}^{'} | = 2 \times 10^{- 8}$ , $| f_{3}^{''} | = 8 \times 10^{- 9}$ , $| f_{4} | = | f_{4}^{'} | = | f_{4}^{''} | = 35$ , $| f_{5} | = 1.01 \times 10^{- 1}$ , $| f_{5}^{'} | = 5.3 \times 10^{- 1}$ , $| f_{5}^{''} | = 4 \times 10^{- 2}$ , $m_{N} = 200$ , $| A_{0} | = 500$ , $m_{E} = 260$ , $| m_{2} | = 100$ , $χ_{m_{2}} = 1.2$ , $χ_{μ} = 0.8$ , $χ_{3} = 0.3$ , $χ_{3}^{'} = 0.2$ , $χ_{3}^{''} = 0.6$ , $χ_{4} = 1.4$ , $χ_{4}^{'} = 1.1$ , $χ_{4}^{''} = 1.7$ , $χ_{5} = 1.7$ , $χ_{5}^{'} = 0.5$ , $χ_{5}^{''} = 0.7$ and $χ_{A_{0}} = 0.4$ . All masses are in GeV and phases in rad.Reuse & Permissions
Figure 4
Exhibition of the dependence of $ν_{3}$ lifetime on the phase $χ_{5}$ for two values of $| f_{5} |$ . Solid curve is for $| f_{5} | = 0.1$ and dashed curve is for $| f_{5} | = 0.05$ . Other parameters have the values $| m_{2} | = | μ | = 100$ , $| f_{3} | = 1.5 \times 10^{- 7}$ , $| f_{3}^{'} | = 2 \times 10^{- 8}$ , $| f_{3}^{''} | = 8 \times 10^{- 9}$ , $| f_{4} | = | f_{4}^{'} | = | f_{4}^{''} | = 35$ , $| f_{5}^{'} | = 5.3 \times 10^{- 1}$ , $| f_{5}^{''} | = 4 \times 10^{- 2}$ , $m_{N} = 200$ , $| A_{0} | = 500$ , $m_{E} = 260$ , $m_{0} = 300$ , $\tan β = 40$ , $χ_{m_{2}} = 1.2$ , $χ_{μ} = 0.8$ , $χ_{3} = 0.3$ , $χ_{3}^{'} = 0.2$ , $χ_{3}^{''} = 0.6$ , $χ_{4} = 1.4$ , $χ_{4}^{'} = 1.1$ , $χ_{4}^{''} = 1.7$ , $χ_{5}^{'} = 1.0$ , $χ_{5}^{''} = 0.7$ and $χ_{A_{0}} = 0.4$ . All masses are in GeV and phases in rad.Reuse & Permissions
Figure 5
Exhibition of the dependence of $ν_{3}$ lifetime on $| A_{0} |$ for two values of $| μ |$ . Solid curve is for $| μ | = 150$ and dashed curve is for $| μ | = 100$ . Other parameters have the values $| m_{2} | = 100$ , $| f_{3} | = 1.5 \times 10^{- 7}$ , $| f_{3}^{'} | = 2 \times 10^{- 8}$ , $| f_{3}^{''} | = 8 \times 10^{- 9}$ , $| f_{4} | = | f_{4}^{'} | = | f_{4}^{''} | = 35$ , $| f_{5} | = 1.01 \times 10^{- 1}$ , $| f_{5}^{'} | = 5.3 \times 10^{- 1}$ , $| f_{5}^{''} | = 4 \times 10^{- 2}$ , $m_{N} = 200$ , $m_{E} = 260$ , $m_{0} = 350$ , $\tan β = 50$ , $χ_{m_{2}} = 1.2$ , $χ_{μ} = 0.8$ , $χ_{3} = 0.3$ , $χ_{3}^{'} = 0.2$ , $χ_{3}^{''} = 0.6$ , $χ_{4} = 1.4$ , $χ_{4}^{'} = 1.1$ , $χ_{4}^{''} = 1.7$ , $χ_{5} = 1.7$ , $χ_{5}^{'} = 0.5$ , $χ_{5}^{''} = 0.7$ and $χ_{A_{0}} = 0.4$ . All masses are in GeV and phases in rad.Reuse & Permissions
Figure 6
Exhibition of the dependence of the $ν_{3}$ lifetime on $| f_{3} |$ for two values of $\tan β$ . Solid curve is for $\tan β = 30$ and dashed curve is for $\tan β = 40$ . Other parameters have the values $| m_{2} | = 100$ , $| μ | = 100$ , $| f_{3}^{'} | = 2 \times 10^{- 8}$ , $| f_{3}^{''} | = 8 \times 10^{- 9}$ , $| f_{4} | = | f_{4}^{'} | = | f_{4}^{''} | = 35$ , $| f_{5} | = 1.01 \times 10^{- 1}$ , $| f_{5}^{'} | = 5.3 \times 10^{- 1}$ , $| f_{5}^{''} | = 4 \times 10^{- 2}$ , $m_{N} = 200$ , $| A_{0} | = 500$ , $m_{E} = 260$ , $m_{0} = 400$ , $χ_{m_{2}} = 1.2$ , $χ_{μ} = 0.8$ , $χ_{3} = 0.3$ , $χ_{3}^{'} = 0.2$ , $χ_{3}^{''} = 0.6$ , $χ_{4} = 1.4$ , $χ_{4}^{'} = 1.1$ , $χ_{4}^{''} = 1.7$ , $χ_{5} = 1.7$ , $χ_{5}^{'} = 0.5$ , $χ_{5}^{''} = 0.7$ and $χ_{A_{0}} = 0.4$ . All masses are in GeV and phases in rad.Reuse & Permissions

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