Astrophysical Constraints on the Scale of Left-Right Symmetry in Inverse Seesaw Models

ABSTRACT

We revisit the recently studied supersymmetric gauged inverse seesaw model [1] to incorporate astrophysical constraints on lightest supersymmetric particle (LSP) lifetime such that LSP constitutes the dark matter of the Universe. The authors in [1] considered light sneutrino LSP that can play the role of inelastic dark matter (iDM) such that desired iDM mass splitting and tiny Majorana masses of neutrinos can have a common origin. Here we consider a generalized version of this model without any additional discrete symmetry. We point out that due to spontaneous R-parity(R_{p}=(-1)^{3(B-L)+2s}) breaking in such generic supersymmetric gauged inverse seesaw models, LSP can not be perfectly stable but decays to standard model particles after non-renormalizable operators allowed by the gauge symmetry are introduced. We show that strong astrophysical constraints on LSP lifetime makes sneutrino dark matter more natural than standard neutralino dark matter. We also show that long-livedness of sneutrino dark matter constrains the left right symmetry breaking scale M_{R}＜10^{4} GeV.

We revisit the recently studied supersymmetric gauged inverse seesaw model [1] to incorporate astrophysical constraints on lightest supersymmetric particle (LSP) lifetime such that LSP constitutes the dark matter of the Universe. The authors in [1] considered light sneutrino LSP that can play the role of inelastic dark matter (iDM) such that desired iDM mass splitting and tiny Majorana masses of neutrinos can have a common origin. Here we consider a generalized version of this model without any additional discrete symmetry. We point out that due to spontaneous R-parity(R

Cite this paper

Borah, D. (2012) Astrophysical Constraints on the Scale of Left-Right Symmetry in Inverse Seesaw Models.*Journal of Modern Physics*, **3**, 1097-1102. doi: 10.4236/jmp.2012.329144.

Borah, D. (2012) Astrophysical Constraints on the Scale of Left-Right Symmetry in Inverse Seesaw Models.

References

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[2] J. C. Pati and A. Salam, “Lepton Number as the Fourth Color,” Physical Review, Vol. D10, 1974, pp. 275-289.

[3] R. N. Mohapatra and J. C. Pati, “A Natural Left-Right Symmetry,” Physical Review, Vol. D11, 1975, pp. 2558-2569.

[4] G. Senjanovic and R. N. Mohapatra, “Exact Left-Right Symmetry and Spontaneous Violation of Parity,” Physical Review, Vol. D12, 1975, pp. 1502-1513.

[5] R. N. Mohapatra and R. E. Marshak, “Local B-L Symmetry of Electroweak Interactions, Majorana Neutrinos and Neutron Oscillations,” Physical Review Letters, Vol. 44, 1980, pp. 1316-1319. doi:10.1103/PhysRevLett.44.1316

[6] N. G. Deshpande, J. F. Gunion, B. Kayser and F. I. Olness, “Left-Right Symmetric Electroweak Models with Triplet Higgs,” Physical Review, Vol. D44, 1991, pp. 837-858.

[7] S. Fukuda, et al., (Super-Kamiokande Collaboration), “Constraints on Neutrino Oscillations Using 1258 Days of Super-Kamiokande Solar Neutrino Data,” Physical Review Letters, Vol. 86, 2001, pp. 5656-5660. doi:10.1103/PhysRevLett.86.5656

[8] Q. R. Ahmad, et al., (SNO Collaboration), “Direct Evidence for Neutrino Flavor Transformation from Neutral Current Interactions in the Sudbury Neutrino Observatory,” Physical Review Letters, Vol. 89a, 2002, Article ID: 011301. doi:10.1103/PhysRevLett.89.011301

[9] Q. R. Ahmad, et al., (SNO Collaboration), “Measurement of Day and Night Neutrino Energy Spectra at SNO and Constraints on Neutrino Mixing Parameters,” Physical Review Letters, Vol. 89b, 2002, pp. 011302. doi:10.1103/PhysRevLett.89.011302

[10] J. N. Bahcall and C. Pena-Garay, “Solar Models and Solar Neutrino Oscillations,” New Journal of Physics, Vol. 6, 2005, pp. 63-79. doi:10.1088/1367-2630/6/1/063

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[12] C. S. Aulakh, K. Benakli and G. Senjanovic, “Reconciling Supersymmetry and Left-Right Symmetry,” Physical Review Letters, Vol. 79, 1997, pp. 2188-2191. doi:10.1103/PhysRevLett.79.2188

[13] K. S. Babu and R. N. Mohapatra, “Minimal Supersymmetric Left-Right Model,” Physics Letters, Vol. B668, 2008, pp. 404-409.

[14] S. Patra, A. Sarkar, U. Sarkar and U. Yajnik, “Spontaneous Parity Violation in a Supersymmetric Left-Right Symmetric Model,” Physics Letters, Vol. B679, 2009, pp. 386-389.

[15] R. Kuchimanchi and R. N. Mohapatra, “No Parity Violation without R-Parity Violation,” Physical Review, Vol. D48, 1993, pp. 4352-4360.

[16] D. Borah, “Supersymmetric Left-Right Models with B - L odd Higgs Doublets,” International Journal of Modern Physics, Vol. A26, 2011, pp. 1305-1326.

[17] P. Fileviez Perez and S. Spinner, “Spontaneous R-Parity Breaking and Left-Right Symmetry,” Physics Letters, Vol. B673, 2009, pp. 251-254.

[18] V. Barger, P. Fileviez Perez and S. Spinner, “Minimal Gauged U(1)(B-L) Model with Spontaneous R-Parity Violation,” Physical Review Letters, Vol. 102, 2009, Article ID: 181802. doi:10.1103/PhysRevLett.102.181802

[19] P. Fileviez Perez and S. Spinner, “The Minimal Theory for R-parity Violation at the LHC,” Journal of High Energy Physics, Vol. 2012, No. 4, 2012, pp. 118-155. doi:10.1007/JHEP04(2012)118

[20] P. S. Bhupal Dev and R. N. Mohapatra, “Electroweak Symmetry Breaking and Proton Decay in SO(10) SUSY-GUT with TeV W(R),” Physical Review, Vol. D82, 2010, Article ID: 035014.

[21] L. Dugger, T. E. Jeltema and S. Profumo, “Constraints on Decaying Dark Matter from Fermi Observations of Nearby Galaxies and Clusters,” Journal of Cosmology and Astroparticle Physics, Vol. 1012, 2010, pp. 015-037.

[22] V. Berezinsky, A. S. Joshipura and J. W. F. Valle, “Gravitational Violation of R-Parity and Its Cosmological Signatures,” Physical Review, Vol. D57, 1998, pp. 147- 151.

[23] D. Borah and S. Mishra, “Spontaneous R-Parity Breaking, Left-Right Symmetry and Consistent Cosmology with Transitory Domain Walls,” Physical Review, Vol. D84, 2011, Article ID: 055008.

[24] D. Borah and S. Patra, “Type III Seesaw and Dark Matter in a Supersymmetric Left-Right Model,” arXiv:0910.0146.

[25] R. Foot, H. Lew, X. G. He and G. C. Joshi, “Seesaw Neutrino Masses Induced by a Triplet of Leptons,” Zeitschrift fur Physik, Vol. C44, 1989, pp. 441.

[26] D. Borah, S. Patra and U. Sarkar, “TeV scale Left Right Symmetry with Spontaneous D-Parity Breaking,” Physical Review, Vol. D83, 2011, Article ID: 035007.

[27] A. Arvanitaki, et al., “Astrophysical Probes of Unification,” Physical Review, Vol. D79, 2009, Article ID: 105022.

[28] A. Arvanitaki, et al., “Decaying Dark Matter as a Probe of Unification and TeV Spectroscopy,” Physical Review, Vol. D80, 2009, Article ID: 055011.

[29] A. Maiezza, M. Nemevsek, F. Nesti and G. Senjanovic, “Left-Right Symmetry at LHC,” Physical Review, Vol. D82, 2010, Article ID: 055022.

[30] P. S. B. Dev and R. N. Mohapatra, “TeV Scale Inverse Seesaw in SO(10) and Leptonic Non-Unitarity Effects,” Physical Review, Vol. D81, 2010, Article ID: 013001.

[1] H. An, P. B. Dev, Y. Cai and R. N. Mohapatra, “Sneutrino Dark Matter in Gauged Inverse Seesaw Models for Neutrinos,” Physical Review Letters, Vol. 108, 2012, Article ID: 081806. doi:10.1103/PhysRevLett.108.081806

[2] J. C. Pati and A. Salam, “Lepton Number as the Fourth Color,” Physical Review, Vol. D10, 1974, pp. 275-289.

[3] R. N. Mohapatra and J. C. Pati, “A Natural Left-Right Symmetry,” Physical Review, Vol. D11, 1975, pp. 2558-2569.

[4] G. Senjanovic and R. N. Mohapatra, “Exact Left-Right Symmetry and Spontaneous Violation of Parity,” Physical Review, Vol. D12, 1975, pp. 1502-1513.

[5] R. N. Mohapatra and R. E. Marshak, “Local B-L Symmetry of Electroweak Interactions, Majorana Neutrinos and Neutron Oscillations,” Physical Review Letters, Vol. 44, 1980, pp. 1316-1319. doi:10.1103/PhysRevLett.44.1316

[6] N. G. Deshpande, J. F. Gunion, B. Kayser and F. I. Olness, “Left-Right Symmetric Electroweak Models with Triplet Higgs,” Physical Review, Vol. D44, 1991, pp. 837-858.

[7] S. Fukuda, et al., (Super-Kamiokande Collaboration), “Constraints on Neutrino Oscillations Using 1258 Days of Super-Kamiokande Solar Neutrino Data,” Physical Review Letters, Vol. 86, 2001, pp. 5656-5660. doi:10.1103/PhysRevLett.86.5656

[8] Q. R. Ahmad, et al., (SNO Collaboration), “Direct Evidence for Neutrino Flavor Transformation from Neutral Current Interactions in the Sudbury Neutrino Observatory,” Physical Review Letters, Vol. 89a, 2002, Article ID: 011301. doi:10.1103/PhysRevLett.89.011301

[9] Q. R. Ahmad, et al., (SNO Collaboration), “Measurement of Day and Night Neutrino Energy Spectra at SNO and Constraints on Neutrino Mixing Parameters,” Physical Review Letters, Vol. 89b, 2002, pp. 011302. doi:10.1103/PhysRevLett.89.011302

[10] J. N. Bahcall and C. Pena-Garay, “Solar Models and Solar Neutrino Oscillations,” New Journal of Physics, Vol. 6, 2005, pp. 63-79. doi:10.1088/1367-2630/6/1/063

[11] C. S. Aulakh, A. Melfo and G. Senjanovic, “Minimal Supersymmetric Left-Right Model,” Physical Review, Vol. D57, 1998, pp. 4174-4178.

[12] C. S. Aulakh, K. Benakli and G. Senjanovic, “Reconciling Supersymmetry and Left-Right Symmetry,” Physical Review Letters, Vol. 79, 1997, pp. 2188-2191. doi:10.1103/PhysRevLett.79.2188

[13] K. S. Babu and R. N. Mohapatra, “Minimal Supersymmetric Left-Right Model,” Physics Letters, Vol. B668, 2008, pp. 404-409.

[14] S. Patra, A. Sarkar, U. Sarkar and U. Yajnik, “Spontaneous Parity Violation in a Supersymmetric Left-Right Symmetric Model,” Physics Letters, Vol. B679, 2009, pp. 386-389.

[15] R. Kuchimanchi and R. N. Mohapatra, “No Parity Violation without R-Parity Violation,” Physical Review, Vol. D48, 1993, pp. 4352-4360.

[16] D. Borah, “Supersymmetric Left-Right Models with B - L odd Higgs Doublets,” International Journal of Modern Physics, Vol. A26, 2011, pp. 1305-1326.

[17] P. Fileviez Perez and S. Spinner, “Spontaneous R-Parity Breaking and Left-Right Symmetry,” Physics Letters, Vol. B673, 2009, pp. 251-254.

[18] V. Barger, P. Fileviez Perez and S. Spinner, “Minimal Gauged U(1)(B-L) Model with Spontaneous R-Parity Violation,” Physical Review Letters, Vol. 102, 2009, Article ID: 181802. doi:10.1103/PhysRevLett.102.181802

[19] P. Fileviez Perez and S. Spinner, “The Minimal Theory for R-parity Violation at the LHC,” Journal of High Energy Physics, Vol. 2012, No. 4, 2012, pp. 118-155. doi:10.1007/JHEP04(2012)118

[20] P. S. Bhupal Dev and R. N. Mohapatra, “Electroweak Symmetry Breaking and Proton Decay in SO(10) SUSY-GUT with TeV W(R),” Physical Review, Vol. D82, 2010, Article ID: 035014.

[21] L. Dugger, T. E. Jeltema and S. Profumo, “Constraints on Decaying Dark Matter from Fermi Observations of Nearby Galaxies and Clusters,” Journal of Cosmology and Astroparticle Physics, Vol. 1012, 2010, pp. 015-037.

[22] V. Berezinsky, A. S. Joshipura and J. W. F. Valle, “Gravitational Violation of R-Parity and Its Cosmological Signatures,” Physical Review, Vol. D57, 1998, pp. 147- 151.

[23] D. Borah and S. Mishra, “Spontaneous R-Parity Breaking, Left-Right Symmetry and Consistent Cosmology with Transitory Domain Walls,” Physical Review, Vol. D84, 2011, Article ID: 055008.

[24] D. Borah and S. Patra, “Type III Seesaw and Dark Matter in a Supersymmetric Left-Right Model,” arXiv:0910.0146.

[25] R. Foot, H. Lew, X. G. He and G. C. Joshi, “Seesaw Neutrino Masses Induced by a Triplet of Leptons,” Zeitschrift fur Physik, Vol. C44, 1989, pp. 441.

[26] D. Borah, S. Patra and U. Sarkar, “TeV scale Left Right Symmetry with Spontaneous D-Parity Breaking,” Physical Review, Vol. D83, 2011, Article ID: 035007.

[27] A. Arvanitaki, et al., “Astrophysical Probes of Unification,” Physical Review, Vol. D79, 2009, Article ID: 105022.

[28] A. Arvanitaki, et al., “Decaying Dark Matter as a Probe of Unification and TeV Spectroscopy,” Physical Review, Vol. D80, 2009, Article ID: 055011.

[29] A. Maiezza, M. Nemevsek, F. Nesti and G. Senjanovic, “Left-Right Symmetry at LHC,” Physical Review, Vol. D82, 2010, Article ID: 055022.

[30] P. S. B. Dev and R. N. Mohapatra, “TeV Scale Inverse Seesaw in SO(10) and Leptonic Non-Unitarity Effects,” Physical Review, Vol. D81, 2010, Article ID: 013001.