Аннотация
Сокращение аномалий в U(1) расширениях минимальной суперсимметричной (СУСИ) стандартной модели (МССМ), которые появляются в качестве низкоэнергетического предела E6 Теории Великого Объединения (ТВО), предполагает наличие экзотической материи. Легчайшее экзотическое нейтралино в этих моделях может быть стабильным, внося вклад в плотность холодной тёмной материи. В работе рассматриваются взаимодействия таких нейтралино с нуклонами в рамках расширения МССМ с дополнительной U(1)N калибровочной симметрией (СE6ССM). В частности, изучаются ограничения на константы взаимодействия данных состояний, которые обусловлены экспериментами по поиску частиц тёмной материи. Полученные результаты обобщаются на другие СУСИ модели с дополнительной U(1) калибровочной симметрией, которые возникают из E6 ТВО.
Библиографические ссылки
[1] P. A. R. Ade et al. (Planck Collaboration), Planck 2015 results. XIII. Cosmological parameters, Astronomy & Astrophysics 594 (2016) A13.
[2] G. R. Blumenthal, S. M. Faber, J. R. Primack, M. J. Rees, Formation of galaxies and large scale structure with cold dark matter, Nature 311 (1984) 517–525.
[3] J. R. Primack, Status of cold dark matter cosmology, Nuclear Physics B — Proceedings Supplements 124 (2003) 3–12.
[4] G. Jungman, M. Kamionkowski, K. Griest, Supersymmetric dark matter, Physics Reports 267 (1996) 195–373.
[5] J. R. Ellis, S. Kelley, D. V. Nanopoulos, Probing the desert using gauge coupling unification, Physics Letters B 260 (1991) 131–137.
[6] P. Langacker, M. X. Luo, Implications of precision electroweak experiments for Mt, ρ0, sin2 θW and grand unification, Physical Review D 44 (1991) 817–822.
[7] U. Amaldi, W. de Boer, H. Furstenau, Comparison of grand unified theories with electroweak and strong coupling constants measured at LEP, Physics Letters B 260 (1991) 447–455.
[8] F. Anselmo, L. Cifarelli, A. Peterman, A. Zichichi, The effective experimental constraints on Msusy and Mgut, Nuovo Cimento A 104 (1991) 1817–1834.
[9] H. Georgi, S. L. Glashow, Unity of all elementary particle forces, Physical Review Letters 32 (1974) 438.
[10] M. B. Green, J. H. Schwarz, E. Witten, Superstring Theory, Cambridge University Press, 1987.
[11] J. L. Hewett, T. G. Rizzo, Low-energy phenomenology of superstring inspired E6 models, Physics Reports 183 (1989) 193.
[12] P. Langacker, The physics of heavy Z′ gauge bosons, Reviews of Modern Physics 81 (2009) 1199.
[13] R. B. Nevzorov, Phenomenological aspects of supersymmetric extensions of the Standard Model, Uspekhi Fizicheskikh Nauk 193 (6) (2023) 577–613.
[14] J. Kang, P. Langacker, B. D. Nelson, Theory and phenomenology of exotic isosinglet quarks and squarks, Physical Review D 77 (2008) 035003.
[15] M. Ali, S. Khalil, S. Moretti, S. Munir, R. Nevzorov, A. Nikitenko, H. Waltari, TeV-scale leptoquark searches at the LHC and their E6SSM interpretation, Journal of High Energy Physics 03 (2023) 117.
[16] E. Accomando, A. Belyaev, L. Fedeli, S. F. King, C. Shepherd-Themistocleous, Z′ physics with early LHC data, Physical Review D 83 (2011) 075012.
[17] J. H. Kang, P. Langacker, T. J. Li, Neutrino masses in supersymmetric SU(3)C × SU(2)L × U(1)Y × U(1)′ models, Physical Review D 71 (2005) 015012.
[18] E. Ma, Neutrino masses in an extended gauge model with E6 particle content, Physics Letters B 380 (1996) 286.
[19] B. Stech, Z. Tavartkiladze, Generation symmetry and E6 unification, Physical Review D 77 (2008) 076009.
[20] E. Ma, M. Raidal, Three active and two sterile neutrinos in an E6 model of diquark baryogenesis, Journal of Physics G 28 (2002) 95–102.
[21] J. Kang, P. Langacker, T. J. Li, T. Liu, Electroweak baryogenesis in a supersymmetric U(1)′ model, Physical Review Letters 94 (2005) 061801.
[22] R. Nevzorov, Leptogenesis as an origin of hot dark matter and baryon asymmetry in the E6 inspired SUSY models, Physics Letters B 779 (2018) 223–229.
[23] R. Nevzorov, Leptogenesis and dark matter-nucleon scattering cross section in the SE6SSM, Universe 9 (3) (2023) 137.
[24] T. Hambye, E. Ma, M. Raidal, U. Sarkar, Allowable low-energy E6 subgroups from leptogenesis, Physics Letters B 512 (2001) 373.
[25] S. F. King, R. Luo, D. J. Miller, R. Nevzorov, Leptogenesis in the exceptional supersymmetric Standard Model: Flavour dependent lepton asymmetries, Journal of High Energy Physics 12 (2008) 042.
[26] J. A. Grifols, J. Sola, A. Mendez, Contribution to the muon anomaly from superstring inspired models, Physical Review Letters 57 (1986) 2348.
[27] D. A. Morris, Potentially large contributions to the muon anomalous magnetic moment from weak isosinglet squarks in E6 superstring models, Physical Review D 37 (1988) 2012.
[28] S. W. Ham, J. O. Im, E. J. Yoo, S. K. Oh, Higgs bosons of a supersymmetric E6 model at the Large Hadron Collider, Journal of High Energy Physics 12 (2008) 017.
[29] P. Langacker, J. Wang, U(1)′ symmetry breaking in supersymmetric E6 models, Physical Review D 58 (1998) 115010.
[30] M. Cvetic, P. Langacker, New gauge bosons from string models, Modern Physics Letters A 11 (1996) 1247–1262.
[31] M. Cvetic, P. Langacker, Implications of Abelian extended gauge structures from string models, Physical Review D 54 (1996) 3570–3579.
[32] M. Cvetic, D. A. Demir, J. R. Espinosa, L. L. Everett, P. Langacker, Electroweak breaking and the µ problem in supergravity models with an additional U(1), Physical Review D 56 (1997) 2861.
[33] D. Suematsu, Y. Yamagishi, Radiative symmetry breaking in a supersymmetric model with an extra U(1), International Journal of Modern Physics A 10 (1995) 4521.
[34] Y. Daikoku, D. Suematsu, Mass bound of the lightest neutral Higgs scalar in the extra U(1) models, Physical Review D 62 (2000) 095006.
[35] E. Keith, E. Ma, Generic consequences of a supersymmetric U(1) gauge factor at the TeV scale, Physical Review D 56 (1997) 7155.
[36] D. Suematsu, µ → eγ in supersymmetric multi U(1) models with an Abelian gaugino mixing, Physics Letters B 416 (1998) 108.
[37] D. Suematsu, Effect on the electron EDM due to Abelian gauginos in SUSY extra U(1) models, Modern Physics Letters A 12 (1997) 1709.
[38] A. Gutierrez-Rodriguez, M. A. Hernandez-Ruiz, M. A. Perez, Limits on the electromagnetic and weak dipole moments of the tau lepton in E6 superstring models, International Journal of Modern Physics A 22 (2007) 3493.
[39] D. Suematsu, Neutralino decay in the µ problem solvable extra U(1) models, Physical Review D 57 (1998) 1738.
[40] E. Keith, E. Ma, Efficacious extra U(1) factor for the supersymmetric Standard Model, Physical Review D 54 (1996) 3587.
[41] S. Hesselbach, F. Franke, H. Fraas, Neutralinos in E6 inspired supersymmetric U(1)′ models, The European Physical Journal C 23 (2002) 149–162.
[42] V. Barger, P. Langacker, H. S. Lee, Lightest neutralino in extensions of the MSSM, Physics Letters B 630 (2005) 85–99.
[43] S. Y. Choi, H. E. Haber, J. Kalinowski, P. M. Zerwas, The neutralino sector in the U(1)-extended supersymmetric Standard Model, Nuclear Physics B 778 (2007) 85–128.
[44] V. Barger, P. Langacker, I. Lewis, M. McCaskey, G. Shaughnessy, B. Yencho, Recoil detection of the lightest neutralino in MSSM singlet extensions, Physical Review D 75 (2007) 115002.
[45] T. Gherghetta, T. A. Kaeding, G. L. Kane, Supersymmetric contributions to the decay of an extra Z boson, Physical Review D 57 (1998) 3178.
[46] V. Barger, P. Langacker, G. Shaughnessy, TeV physics and the Planck scale, New Journal of Physics 9 (2007) 333.
[47] V. Barger, P. Langacker, H. S. Lee, G. Shaughnessy, Higgs sector in extensions of the MSSM, Physical Review D 73 (2006) 115010.
[48] S. F. King, S. Moretti, R. Nevzorov, Theory and phenomenology of an exceptional supersymmetric Standard Model, Physical Review D 73 (2006) 035009.
[49] S. F. King, S. Moretti, R. Nevzorov, Exceptional supersymmetric Standard Model, Physics Letters B 634 (2006) 278.
[50] S. F. King, S. Moretti, R. Nevzorov, Spectrum of Higgs Particles in the ESSM, in: Proceedings of the 12th Lomonosov Conference on Elementary Particle Physics, World Scientific Company, Moscow, Russia, 2005, p. 371.
[51] S. F. King, S. Moretti, R. Nevzorov, A review of the exceptional supersymmetric Standard Model, Symmetry 12 (4) (2020) 557.
[52] R. Nevzorov, E6 inspired supersymmetric models with exact custodial symmetry, Physical Review D 87 (2013) 015029.
[53] P. Athron, M. M¨uhlleitner, R. Nevzorov, A. G. Williams, Non-standard Higgs decays in U(1) extensions of the MSSM, Journal of High Energy Physics 01 (2015) 153.
[54] P. Athron, D. Harries, R. Nevzorov, A. G. Williams, E6 inspired SUSY benchmarks, dark matter relic density and a 125 GeV Higgs, Physics Letters B 760 (2016) 19–25.
[55] P. Athron, D. Harries, R. Nevzorov, A. G. Williams, Dark matter in a constrained E6 inspired SUSY model, Journal of High Energy Physics 12 (2016) 128.
[56] R. Nevzorov, On the suppression of the dark matter-nucleon scattering cross section in the SE6SSM, Symmetry 14 (10) (2022) 2090.
[57] J. Aalbers et al. (LZ), Dark matter search results from 4.2 tonne-years of exposure of the LUX–ZEPLIN (LZ) experiment, Physical Review Letters 135 (2025) 011802.
[58] R. Howl, S. F. King, Planck scale unification in a supersymmetric Standard Model, Physics Letters B 652 (2007) 331.
[59] R. Howl, S. F. King, Minimal E6 supersymmetric Standard Model, Journal of High Energy Physics 01 (2008) 030.
[60] R. Howl, S. F. King, Exceptional supersymmetric Standard Models with non-Abelian discrete family symmetry, Journal of High Energy Physics 05 (2008) 008.
[61] R. Howl, S. F. King, Solving the flavour problem in supersymmetric Standard Models with three Higgs families, Physics Letters B 687 (2010) 355.
[62] P. Athron, J. P. Hall, R. Howl, S. F. King, D. J. Miller, S. Moretti, R. Nevzorov, Aspects of the exceptional supersymmetric Standard Model, Nuclear Physics B — Proceedings Supplements 200–202 (2010) 120.
[63] J. P. Hall, S. F. King, Bino Dark Matter and Big Bang Nucleosynthesis in the constrained E6SSM with massless inert singlinos, Journal of High Energy Physics 06 (2011) 006.
[64] J. C. Callaghan, S. F. King, E6 models from F-theory, Journal of High Energy Physics 04 (2013) 034.
[65] J. C. Callaghan, S. F. King, G. K. Leontaris, Gauge coupling unification in E6 F-theory GUTs with matter and bulk exotics from flux breaking, Journal of High Energy Physics 12 (2013) 037.
[66] S. F. King, R. Nevzorov, 750 GeV diphoton resonance from singlets in an exceptional supersymmetric Standard Model, Journal of High Energy Physics 03 (2016) 139.
[67] R. Nevzorov, E6 inspired SUSY models with custodial symmetry, International Journal of Modern Physics A 33 (2018) 1844007.
[68] S. Khalil, S. Moretti, D. Rojas-Ciofalo, H. Waltari, Multicomponent dark matter in a simplified E6SSM, Physical Review D 102 (2020) 075039.
[69] S. F. King, S. Moretti, R. Nevzorov, Gauge coupling unification in the exceptional supersymmetric Standard Model, Physics Letters B 650 (2007) 57–64.
[70] R. Nevzorov, Quasifixed point scenarios and the Higgs mass in the E6 inspired supersymmetric models, Physical Review D 89 (2014) 055010.
[71] R. Nevzorov, M. A. Trusov, Infrared quasifixed solutions in the NMSSM, Physics of Atomic Nuclei 64 (2001) 1299.
[72] R. Nevzorov, M. A. Trusov, Quasifixed point scenario in the modified NMSSM, Physics of Atomic Nuclei 65 (2002) 335.
[73] C. D. Froggatt, R. Nevzorov, H. B. Nielsen, D. Thompson, Fixed point scenario in the Two Higgs Doublet Model inspired by degenerate vacua, Physics Letters B 657 (2007) 95–102.
[74] S. F. King, S. Moretti, R. Nevzorov, E6SSM, AIP Conference Proceedings 881 (2007) 138–143.
[75] A. Belyaev, J. P. Hall, S. F. King, P. Svantesson, Novel gluino cascade decays in E6 inspired models, Physical Review D 86 (2012) 031702.
[76] A. Belyaev, J. P. Hall, S. F. King, P. Svantesson, Discovering E6 supersymmetric models in gluino cascade decays at the LHC, Physical Review D 87 (2013) 035019.
[77] R. Nevzorov, S. Pakvasa, Exotic Higgs decays in the E6 inspired SUSY models, Physics Letters B 728 (2014) 210–215.
[78] J. P. Hall, S. F. King, R. Nevzorov, S. Pakvasa, M. Sher, Novel Higgs decays and dark matter in the E6SSM, Physical Review D 83 (2011) 075013.
[79] J. P. Hall, S. F. King, R. Nevzorov, S. Pakvasa, M. Sher, Nonstandard Higgs decays in the E6SSM, PoS QFTHEP2010 (2010) 069.
[80] R. Nevzorov, S. Pakvasa, Nonstandard Higgs decays in the E6 inspired SUSY models, Nuclear and Particle Physics Proceedings 273–275 (2016) 690–695.
[81] R. Nevzorov, Higgs boson with mass around 125 GeV in SUSY extensions of the SM, Physics of Atomic Nuclei 83 (2) (2020) 338–350.
[82] P. Athron, M. Muhlleitner, R. Nevzorov, A. G. Williams, Exotic Higgs Decays in U(1) Extensions of the MSSM, in: Proceedings of the 17th Lomonosov Conference on Elementary Particle Physics, World Scientific Company, Moscow, Russia, 2015, p. 487.
[83] R. Nevzorov, LHC signatures and cosmological implications of the E6 inspired SUSY models, PoS EPS-HEP2015 (2015) 381.
[84] S. Hesselbach, D. J. Miller, G. Moortgat-Pick, R. Nevzorov, M. Trusov, The Lightest Neutralino in the MNSSM, in: Proceedings of the 15th International Conference on Supersymmetry and the Unification of Fundamental Interactions (SUSY07), Karlsruhe, Germany, 2007, p. 918.
[85] S. Hesselbach, D. J. Miller, G. Moortgat-Pick, R. Nevzorov, M. Trusov, Theoretical upper bound on the mass of the LSP in the MNSSM, Physics Letters B 662 (2008) 199–207.
[86] J. M. Frere, R. B. Nevzorov, M. I. Vysotsky, Stimulated neutrino conversion and bounds on neutrino magnetic moments, Physics Letters B 394 (1997) 127–131.
[87] M. Bolz, A. Brandenburg, W. Buchmuller, Thermal production of gravitinos, Nuclear Physics B 606 (2001) 518.
[88] H. Eberl, I. D. Gialamas, V. C. Spanos, Gravitino thermal production revisited, Physical Review D 103 (2021) 075025.
[89] A. Hook, R. McGehee, H. Murayama, Cosmologically viable low-energy supersymmetry breaking, Physical Review D 98 (2018) 115036.
[90] S. Khalil, S. Moretti, D. Rojas-Ciofalo, H. Waltari, Monophoton signals at e+e− colliders in a simplified E6SSM, Physical Review D 104 (2021) 035008.
[91] S. Khalil, K. Kowalska, S. Moretti, D. Rojas-Ciofalo, H. Waltari, A combined approach to the analysis of space and ground experimental data within a simplified E6SSM, The European Physical Journal C 82 (2022) 1058.
[92] P. A. Kovalenko, R. B. Nevzorov, K. A. Ter-Martirosian, Masses of Higgs bosons in supersymmetric theories, Physics of Atomic Nuclei 61 (1998) 812–824.
[93] R. B. Nevzorov, M. A. Trusov, Particle spectrum in the modified NMSSM in the strong Yukawa coupling limit, Journal of Experimental and Theoretical Physics 91 (6) (2000) 1079–1097.
[94] R. B. Nevzorov, K. A. Ter-Martirosyan, M. A. Trusov, Higgs bosons in the simplest SUSY models, Physics of Atomic Nuclei 65 (2002) 285–298.
[95] N. Arkani-Hamed, A. Delgado, G. F. Giudice, The well-tempered neutralino, Nuclear Physics B 741 (2006) 108.
[96] G. Chalons, M. J. Dolan, C. McCabe, Neutralino dark matter and the Fermi gamma-ray lines, Journal of Cosmology and Astroparticle Physics 02 (2013) 016.
[97] G. Belanger, F. Boudjema, A. Pukhov, A. Semenov, MicrOMEGAs3: A program for calculating dark matter observables, Computer Physics Communications 185 (2014) 960.
[98] H. W. Lin, R. Gupta, B. Yoon, Y. C. Jang, T. Bhattacharya, Quark contribution to the proton spin from 2 + 1 + 1-flavor lattice QCD, Physical Review D 98 (2018) 094512.
[99] A. M. Sirunyan et al. (CMS), Search for resonant and nonresonant new phenomena in high-mass dilepton final states at √ s = 13 TeV, Journal of High Energy Physics 07 (2021) 208.
[100] G. Aad et al. (ATLAS), Search for high-mass dilepton resonances using 139 fb−1 of pp collision data collected at √ s = 13 TeV with the ATLAS detector, Physics Letters B 796 (2019) 68–87.
[101] R. Abbasi et al. (IceCube), Search for high-energy neutrinos from the Sun using ten years of IceCube data. arXiv:2507.08457 (hep-ex).
[102] H. Baer, V. Barger, D. Sengupta, X. Tata, Is natural Higgsino-only dark matter excluded?, The European Physical Journal C 78 (2018) 838.
[103] H. Baer, V. Barger, P. Huang, A. Mustafayev, X. Tata, Radiative natural SUSY with a 125 GeV Higgs boson, Physical Review Letters 109 (2012) 161802.
[104] H. Baer, V. Barger, P. Huang, X. Tata, Natural supersymmetry: LHC, dark matter and ILC searches, Journal of High Energy Physics 05 (2012) 109.
[105] H. Baer, V. Barger, P. Huang, D. Mickelson, A. Mustafayev, X. Tata, Radiative natural supersymmetry: Reconciling electroweak fine tuning and the Higgs boson mass, Physical Review D 87 (2013) 115028.
[106] G. Aad et al. (ATLAS), Searches for electroweak production of supersymmetric particles with compressed mass spectra in √s = 13 TeV pp collisions with the ATLAS detector, Physical Review D 101 (2020) 052005.
[107] A. M. Sirunyan et al. (CMS), Search for supersymmetry with a compressed mass spectrum in the vector boson fusion topology with 1-lepton and 0-lepton final states in proton–proton collisions at √s = 13 TeV, Journal of High Energy Physics 08 (2019) 150.
[108] M. Aaboud et al. (ATLAS), Search for heavy charged long-lived particles in the ATLAS detector in 36.1 fb−1 of proton–proton collision data at √s = 13 TeV, Physical Review D 99 (2019) 092007.
[109] N. Nagata, S. Shirai, Higgsino dark matter in high-scale supersymmetry, Journal of High Energy Physics 01 (2015) 029.
[110] M. Cirelli, N. Fornengo, A. Strumia, Minimal dark matter, Nuclear Physics B 753 (2006) 178.