Abstract
We study the origin of neutrino mass from SO(10) arising from M Theory compactified on a G 2-manifold. This is linked to the problem of the breaking of the extra U(1) gauge group, in the SU(5) × U(1) subgroup of SO(10), which we show can achieved via a (generalised) Kolda-Martin mechanism. The resulting neutrino masses arise from a combination of the seesaw mechanism and induced R-parity breaking contributions. The rather complicated neutrino mass matrix is analysed for one neutrino family and it is shown how phenomenologically acceptable neutrino masses can emerge.
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References
S.F. King, Models of neutrino mass, mixing and CP-violation, J. Phys. G 42 (2015) 123001 [arXiv:1510.02091] [INSPIRE].
S.F. King, Neutrino mass models, Rept. Prog. Phys. 67 (2004) 107 [hep-ph/0310204] [INSPIRE].
G. Altarelli and F. Feruglio, Discrete flavor symmetries and models of neutrino mixing, Rev. Mod. Phys. 82 (2010) 2701 [arXiv:1002.0211] [INSPIRE].
S.F. King and C. Luhn, Neutrino mass and mixing with discrete symmetry, Rept. Prog. Phys. 76 (2013) 056201 [arXiv:1301.1340] [INSPIRE].
S.F. King, A. Merle, S. Morisi, Y. Shimizu and M. Tanimoto, Neutrino mass and mixing: from theory to experiment, New J. Phys. 16 (2014) 045018 [arXiv:1402.4271] [INSPIRE].
P. Minkowski, μ → eγ at a rate of one out of 109 muon decays?, Phys. Lett. B 67 (1977) 421 [INSPIRE].
M. Gell-Mann, P. Ramond and R. Slansky, Complex spinors and unified theories, Conf. Proc. C 790927 (1979) 315 [arXiv:1306.4669] [INSPIRE].
T. Yanagida, Horizontal symmetry and masses of neutrinos, Conf. Proc. C 7902131 (1979) 95 [INSPIRE].
R.N. Mohapatra and G. Senjanović, Neutrino mass and spontaneous parity violation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].
J. Schechter and J.W.F. Valle, Neutrino masses in SU(2) × U(1) theories, Phys. Rev. D 22 (1980) 2227 [INSPIRE].
H. Fritzsch and P. Minkowski, Unified interactions of leptons and hadrons, Annals Phys. 93 (1975) 193 [INSPIRE].
S.P. Martin, A supersymmetry primer, Adv. Ser. Direct. High Energy Phys. 18 (1998) 1 [Adv. Ser. Direct. High Energy Phys. 21 (2010) 1] [hep-ph/9709356] [INSPIRE].
E. Witten, String theory dynamics in various dimensions, Nucl. Phys. B 443 (1995) 85 [hep-th/9503124] [INSPIRE].
P. Hořava and E. Witten, Heterotic and type-I string dynamics from eleven-dimensions, Nucl. Phys. B 460 (1996) 506 [hep-th/9510209] [INSPIRE].
B.S. Acharya, K. Bożek, M. Crispim Romão, S.F. King and C. Pongkitivanichkul, SO(10) grand unification in M-theory on a G 2 manifold, Phys. Rev. D 92 (2015) 055011 [arXiv:1502.01727] [INSPIRE].
E. Witten, Deconstruction, G 2 holonomy and doublet triplet splitting, hep-ph/0201018 [INSPIRE].
B.S. Acharya, K. Bobkov, G.L. Kane, J. Shao and P. Kumar, The G 2 -MSSM: an M-theory motivated model of particle physics, Phys. Rev. D 78 (2008) 065038 [arXiv:0801.0478] [INSPIRE].
B.S. Acharya, G. Kane, E. Kuflik and R. Lu, Theory and phenomenology of μ in M-theory, JHEP 05 (2011) 033 [arXiv:1102.0556] [INSPIRE].
C.F. Kolda and S.P. Martin, Low-energy supersymmetry with D term contributions to scalar masses, Phys. Rev. D 53 (1996) 3871 [hep-ph/9503445] [INSPIRE].
R. Barbier et al., R-parity violating supersymmetry, Phys. Rept. 420 (2005) 1 [hep-ph/0406039] [INSPIRE].
B.S. Acharya, K. Bobkov, G. Kane, P. Kumar and D. Vaman, An M-theory solution to the hierarchy problem, Phys. Rev. Lett. 97 (2006) 191601 [hep-th/0606262] [INSPIRE].
R. Blumenhagen, M. Cvetič and T. Weigand, Spacetime instanton corrections in 4D string vacua: the seesaw mechanism for D-brane models, Nucl. Phys. B 771 (2007) 113 [hep-th/0609191] [INSPIRE].
L.E. Ibáñez and A.M. Uranga, Neutrino Majorana masses from string theory instanton effects, JHEP 03 (2007) 052 [hep-th/0609213] [INSPIRE].
M. Cvetič, R. Richter and T. Weigand, Computation of D-brane instanton induced superpotential couplings: Majorana masses from string theory, Phys. Rev. D 76 (2007) 086002 [hep-th/0703028] [INSPIRE].
W. Buchmüller, K. Hamaguchi, O. Lebedev, S. Ramos-Sanchez and M. Ratz, Seesaw neutrinos from the heterotic string, Phys. Rev. Lett. 99 (2007) 021601 [hep-ph/0703078] [INSPIRE].
J.P. Conlon and D. Cremades, The neutrino suppression scale from large volumes, Phys. Rev. Lett. 99 (2007) 041803 [hep-ph/0611144] [INSPIRE].
A.E. Faraggi, ν τ mass as possible evidence for a superstring inspired standard like model, Phys. Lett. B 245 (1990) 435 [INSPIRE].
A.E. Faraggi and E. Halyo, Neutrino masses in superstring derived standard-like models, Phys. Lett. B 307 (1993) 311 [hep-th/9303060] [INSPIRE].
C. Corianò and A.E. Faraggi, String inspired neutrino mass textures in light of KamLAND and WMAP, Phys. Lett. B 581 (2004) 99 [hep-ph/0306186] [INSPIRE].
D.M. Ghilencea, L.E. Ibáñez, N. Irges and F. Quevedo, TeV scale Z ′ bosons from D-branes, JHEP 08 (2002) 016 [hep-ph/0205083] [INSPIRE].
B.S. Acharya and E. Witten, Chiral fermions from manifolds of G 2 holonomy, hep-th/0109152 [INSPIRE].
B.S. Acharya and S. Gukov, M theory and singularities of exceptional holonomy manifolds, Phys. Rept. 392 (2004) 121 [hep-th/0409191] [INSPIRE].
B.S. Acharya, K. Bobkov, G.L. Kane, P. Kumar and J. Shao, Explaining the electroweak scale and stabilizing moduli in M-theory, Phys. Rev. D 76 (2007) 126010 [hep-th/0701034] [INSPIRE].
B.S. Acharya and K. Bobkov, Kähler independence of the G 2 -MSSM, JHEP 09 (2010) 001 [arXiv:0810.3285] [INSPIRE].
B.S. Acharya, G. Kane and P. Kumar, Compactified string theories — generic predictions for particle physics, Int. J. Mod. Phys. A 27 (2012) 1230012 [arXiv:1204.2795] [INSPIRE].
G.F. Giudice and A. Masiero, A natural solution to the μ problem in supergravity theories, Phys. Lett. B 206 (1988) 480 [INSPIRE].
T. Banks, Y. Grossman, E. Nardi and Y. Nir, Supersymmetry without R-parity and without lepton number, Phys. Rev. D 52 (1995) 5319 [hep-ph/9505248] [INSPIRE].
H.K. Dreiner, An introduction to explicit R-parity violation, Pramana 51 (1997) 123 [Adv. Ser. Direct. High Energy Phys. 21 (2010) 565] [hep-ph/9707435] [INSPIRE].
B.S. Acharya, S.A.R. Ellis, G.L. Kane, B.D. Nelson and M.J. Perry, The lightest visible-sector supersymmetric particle is likely to be unstable, Phys. Rev. Lett. 117 (2016) 181802 [arXiv:1604.05320] [INSPIRE].
L.J. Hall, R. Rattazzi and U. Sarid, The top quark mass in supersymmetric SO(10) unification, Phys. Rev. D 50 (1994) 7048 [hep-ph/9306309] [INSPIRE].
R. Rattazzi, U. Sarid and L.J. Hall, Yukawa unification: the good, the bad and the ugly, in Yukawa couplings and the origins of mass. Proceedings, 2nd IFT Workshop, Gainesville U.S.A. February 11-13 1994 [hep-ph/9405313] [INSPIRE].
H. Murayama, M. Olechowski and S. Pokorski, Viable t-b-τ Yukawa unification in SUSY SO(10), Phys. Lett. B 371 (1996) 57 [hep-ph/9510327] [INSPIRE].
H. Baer, M.A. Diaz, J. Ferrandis and X. Tata, Sparticle mass spectra from SO(10) grand unified models with Yukawa coupling unification, Phys. Rev. D 61 (2000) 111701 [hep-ph/9907211] [INSPIRE].
D. Auto, H. Baer, C. Balázs, A. Belyaev, J. Ferrandis and X. Tata, Yukawa coupling unification in supersymmetric models, JHEP 06 (2003) 023 [hep-ph/0302155] [INSPIRE].
H. Baer, S. Kraml and S. Sekmen, Is ‘just-so’ Higgs splitting needed for t-b-τ Yukawa unified SUSY GUTs?, JHEP 09 (2009) 005 [arXiv:0908.0134] [INSPIRE].
A.S. Joshipura and K.M. Patel, Yukawa coupling unification in SO(10) with positive μ and a heavier gluino, Phys. Rev. D 86 (2012) 035019 [arXiv:1206.3910] [INSPIRE].
M. Drees, Intermediate scale symmetry breaking and the spectrum of super partners in superstring inspired supergravity models, Phys. Lett. B 181 (1986) 279 [INSPIRE].
A. Brignole, L.E. Ibáñez and C. Muñoz, Soft supersymmetry breaking terms from supergravity and superstring models, Adv. Ser. Direct. High Energy Phys. 18 (1998) 125 [hep-ph/9707209] [INSPIRE].
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Acharya, B.S., Bożek, K., Romão, M.C. et al. Neutrino mass from M theory SO(10). J. High Energ. Phys. 2016, 173 (2016). https://doi.org/10.1007/JHEP11(2016)173
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DOI: https://doi.org/10.1007/JHEP11(2016)173