Leptonic CP violation and proton decay in SUSY SO(10)

Journal of High Energy Physics, Sep 2018

Abstract We study the correlation between proton lifetime and leptonic CP violation in a class of renormalizable supersymmetric SO(10) grand unified theories (GUTs) with 10, 126 and 120 Higgs fields, which provides a unified description of all fermion masses and a possible resolution for the strong CP problem. This specific model is unique in that it can so far be compatible with current proton lifetime limits for a supersymmetry (SUSY) breaking scale as low as 5 TeV due to the presence of a specific Yukawa texture. Our investigation reveals that a discovery of leptonic CP violation in neutrino oscillations would lead to substantial reduction of the parameter space of the model and the potential ruling out of type-II dominance in the neutrino mass seesaw. Furthermore, the previously predicted proton partial lifetimes are sufficiently long for only certain values of the leptonic CP phase.

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Leptonic CP violation and proton decay in SUSY SO(10)

Journal of High Energy Physics September 2018, 2018:119 | Cite as Leptonic CP violation and proton decay in SUSY SO(10) AuthorsAuthors and affiliations Rabindra N. MohapatraMatt Severson Open Access Regular Article - Theoretical Physics First Online: 19 September 2018 Received: 19 May 2018 Revised: 31 August 2018 Accepted: 07 September 2018 9 Downloads Abstract We study the correlation between proton lifetime and leptonic CP violation in a class of renormalizable supersymmetric SO(10) grand unified theories (GUTs) with 10, 126 and 120 Higgs fields, which provides a unified description of all fermion masses and a possible resolution for the strong CP problem. This specific model is unique in that it can so far be compatible with current proton lifetime limits for a supersymmetry (SUSY) breaking scale as low as 5 TeV due to the presence of a specific Yukawa texture. Our investigation reveals that a discovery of leptonic CP violation in neutrino oscillations would lead to substantial reduction of the parameter space of the model and the potential ruling out of type-II dominance in the neutrino mass seesaw. Furthermore, the previously predicted proton partial lifetimes are sufficiently long for only certain values of the leptonic CP phase. Keywords GUT Neutrino Physics  ArXiv ePrint: 1805.05776 Download to read the full article text Notes Open Access This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. References [1] P. Minkowski, μ → eγ at a Rate of One Out of 109 Muon Decays?, Phys. Lett. B 67 (1977) 421 [INSPIRE].ADSCrossRefGoogle Scholar [2] T. Yanagida, Neutrino mass and horizontal symmetry, in Workshop on Unified Theories, KEK Report 79-18 (1979), pg. 95.Google Scholar [3] M. Gell-Mann, P. Ramond and R. Slansky, Supergravity, North Holland, Amsterdam The Netherlands (1979).Google Scholar [4] S. L. Glashow, The Future of Elementary Particle Physics, in Cargese Summer Institute on Quarks and Leptons, Cargese France 1979, Plenum, New York U.S.A. (1980), pg. 687.CrossRefGoogle Scholar [5] R.N. Mohapatra and G. Senjanović, Neutrino Mass and Spontaneous Parity Violation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].ADSCrossRefGoogle Scholar [6] S.F. King, Unified Models of Neutrinos, Flavour and CP-violation, Prog. Part. Nucl. Phys. 94 (2017) 217 [arXiv:1701.04413] [INSPIRE].ADSCrossRefGoogle Scholar [7] S.F. King and C. Luhn, Neutrino Mass and Mixing with Discrete Symmetry, Rept. Prog. Phys. 76 (2013) 056201 [arXiv:1301.1340] [INSPIRE].ADSCrossRefGoogle Scholar [8] S. Raby, Supersymmetric Grand Unified Theories, Lect. Notes Phys. 939 (2017) 1 [INSPIRE].MathSciNetCrossRefGoogle Scholar [9] P. Nath and R.M. Syed, A Stronger Case for Superunification Post Higgs Boson Discovery, Phys. Scripta 92 (2017) 124005 [arXiv:1709.09718] [INSPIRE].ADSCrossRefGoogle Scholar [10] H. Georgi, in Particles and Fields 1974, C.E. Carlson eds., American Institute of Physics, New York U.S.A. (1975), pg. 575.Google Scholar [11] H. Fritzsch and P. Minkowski, Unified Interactions of Leptons and Hadrons, Annals Phys. 93 (1975) 193 [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [12] K.S. Babu and R.N. Mohapatra, Predictive neutrino spectrum in minimal SO(10) grand unification, Phys. Rev. Lett. 70 (1993) 2845 [hep-ph/9209215] [INSPIRE].ADSCrossRefGoogle Scholar [13] T. Fukuyama and N. Okada, Neutrino oscillation data versus minimal supersymmetric SO(10) model, JHEP 11 (2002) 011 [hep-ph/0205066] [INSPIRE]. [14] B. Bajc, G. Senjanović and F. Vissani, b − τ unification and large atmospheric mixing: A Case for noncanonical seesaw, Phys. Rev. Lett. 90 (2003) 051802 [hep-ph/0210207] [INSPIRE]. [15] B. Bajc, G. Senjanović and F. Vissani, Probing the nature of the seesaw in renormalizable SO(10), Phys. Rev. D 70 (2004) 093002 [hep-ph/0402140] [INSPIRE]. [16] H.S. Goh, R.N. Mohapatra and S.-P. Ng, Minimal SUSY SO(10), b τ unification and large neutrino mixings, Phys. Lett. B 570 (2003) 215 [hep-ph/0303055] [INSPIRE].ADSCrossRefGoogle Scholar [17] H.S. Goh, R.N. Mohapatra and S.-P. Ng, Minimal SUSY SO(10) model and predictions for neutrino mixings and leptonic CP-violation, Phys. Rev. D 68 (2003) 115008 [hep-ph/0308197] [INSPIRE]. [18] B. Dutta, Y. Mimura and R.N. Mohapatra, CKM CP-violation in a minimal SO(10) model for neutrinos and its implications, Phys. Rev. D 69 (2004) 115014 [hep-ph/0402113] [INSPIRE]. [19] K.S. Babu and C. Macesanu, Neutrino masses and mixings in a minimal SO(10) model, Phys. Rev. D 72 (2005) 115003 [hep-ph/0505200] [INSPIRE]. [20] T. Fukuyama, A. Ilakovac, T. Kikuchi, S. Meljanac and N. Okada, General formulation for proton decay rate in minimal supersymmetric SO(10) GUT, Eur. Phys. J. C 42 (2005) 191 [hep-ph/0401213] [INSPIRE].ADSCrossRefGoogle Scholar [21] T. Fukuyama, (...truncated)


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Rabindra N. Mohapatra, Matt Severson. Leptonic CP violation and proton decay in SUSY SO(10), Journal of High Energy Physics, 2018, pp. 119, Volume 2018, Issue 9, DOI: 10.1007/JHEP09(2018)119