Abstract
We present a supersymmetric left-right model which predicts gauge coupling unification close to the string scale and extra vector bosons at the TeV scale. The subtleties in constructing a model which is in agreement with the measured quark masses and mixing for such a low left-right breaking scale are discussed. It is shown that in the constrained version of this model radiative breaking of the gauge symmetries is possible and a SM-like Higgs is obtained. Additional CP-even scalars of a similar mass or even much lighter are possible. The expected mass hierarchies for the supersymmetric states differ clearly from those of the constrained MSSM. In particular, the lightest down-type squark, which is a mixture of the sbottom and extra vector-like states, is always lighter than the stop. We also comment on the model’s capability to explain current anomalies observed at the LHC.
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References
S. Dimopoulos, S. Raby and F. Wilczek, Supersymmetry and the Scale of Unification, Phys. Rev. D 24 (1981) 1681 [INSPIRE].
L.E. Ibáñez and G.G. Ross, Low-Energy Predictions in Supersymmetric Grand Unified Theories, Phys. Lett. B 105 (1981) 439 [INSPIRE].
W.J. Marciano and G. Senjanović, Predictions of Supersymmetric Grand Unified Theories, Phys. Rev. D 25 (1982) 3092 [INSPIRE].
M.B. Einhorn and D.R.T. Jones, The Weak Mixing Angle and Unification Mass in Supersymmetric SU(5), Nucl. Phys. B 196 (1982) 475 [INSPIRE].
U. Amaldi, W. de Boer and H. Furstenau, Comparison of grand unified theories with electroweak and strong coupling constants measured at LEP, Phys. Lett. B 260 (1991) 447 [INSPIRE].
P. Langacker and M.-x. Luo, Implications of precision electroweak experiments for M t , ρ 0 , sin2 θ W and grand unification, Phys. Rev. D 44 (1991) 817 [INSPIRE].
J.R. Ellis, S. Kelley and D.V. Nanopoulos, Probing the desert using gauge coupling unification, Phys. Lett. B 260 (1991) 131 [INSPIRE].
R.N. Mohapatra, Supersymmetric grand unification: An Update, hep-ph/9911272 [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].
H. Baer, M.A. Diaz, P. Quintana and X. Tata, Impact of physical principles at very high-energy scales on the superparticle mass spectrum, JHEP 04 (2000) 016 [hep-ph/0002245] [INSPIRE].
F.F. Deppisch, N. Desai and T.E. Gonzalo, Compressed and Split Spectra in Minimal SUSY SO(10), Front. Phys. 2 (2014) 00027 [arXiv:1403.2312] [INSPIRE].
M. Drees and J.M. Kim, Neutralino Dark Matter in an SO(10) Model with Two-step Intermediate Scale Symmetry Breaking, JHEP 12 (2008) 095 [arXiv:0810.1875] [INSPIRE].
F. Borzumati and T. Yamashita, Minimal supersymmetric SU(5) model with nonrenormalizable operators: Seesaw mechanism and violation of flavour and CP, Prog. Theor. Phys. 124 (2010) 761 [arXiv:0903.2793] [INSPIRE].
J.N. Esteves, J.C. Romao, M. Hirsch, A. Vicente, W. Porod and F. Staub, LHC and lepton flavour violation phenomenology of a left-right extension of the MSSM, JHEP 12 (2010) 077 [arXiv:1011.0348] [INSPIRE].
J.N. Esteves, J.C. Romao, M. Hirsch, W. Porod, F. Staub and A. Vicente, Dark matter and LHC phenomenology in a left-right supersymmetric model, JHEP 01 (2012) 095 [arXiv:1109.6478] [INSPIRE].
M. Papucci, J.T. Ruderman and A. Weiler, Natural SUSY Endures, JHEP 09 (2012) 035 [arXiv:1110.6926] [INSPIRE].
J.E. Camargo-Molina, B. O’Leary, W. Porod and F. Staub, Stability of the CMSSM against sfermion VEVs, JHEP 12 (2013) 103 [arXiv:1309.7212] [INSPIRE].
J.E. Camargo-Molina, B. Garbrecht, B. O’Leary, W. Porod and F. Staub, Constraining the Natural MSSM through tunneling to color-breaking vacua at zero and non-zero temperature, Phys. Lett. B 737 (2014) 156 [arXiv:1405.7376] [INSPIRE].
P. Bechtle et al., Killing the CMSSM softly, arXiv:1508.05951 [INSPIRE].
P. Batra, A. Delgado, D.E. Kaplan and T.M.P. Tait, The Higgs mass bound in gauge extensions of the minimal supersymmetric standard model, JHEP 02 (2004) 043 [hep-ph/0309149] [INSPIRE].
A. Maloney, A. Pierce and J.G. Wacker, D-terms, unification and the Higgs mass, JHEP 06 (2006) 034 [hep-ph/0409127] [INSPIRE].
M. Malinsky, J.C. Romao and J.W.F. Valle, Novel supersymmetric SO(10) seesaw mechanism, Phys. Rev. Lett. 95 (2005) 161801 [hep-ph/0506296] [INSPIRE].
ATLAS collaboration, Search for high-mass diboson resonances with boson-tagged jets in proton-proton collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, JHEP 12 (2015) 055 [arXiv:1506.00962] [INSPIRE].
CMS collaboration, Search for heavy neutrinos and W bosons with right-handed couplings in proton-proton collisions at \( \sqrt{s}=8 \) TeV, Eur. Phys. J. C 74 (2014) 3149 [arXiv:1407.3683] [INSPIRE].
CMS collaboration, Search for massive WH resonances decaying to \( \ell \nu \mathrm{b}\overline{\mathrm{b}} \) final state in the boosted regime at \( \sqrt{s}=8 \) TeV, CMS-PAS-EXO-14-010 (2015).
P.S. Bhupal Dev and R.N. Mohapatra, Unified explanation of the eejj, diboson and dijet resonances at the LHC, Phys. Rev. Lett. 115 (2015) 181803 [arXiv:1508.02277] [INSPIRE].
J. Brehmer, J. Hewett, J. Kopp, T. Rizzo and J. Tattersall, Symmetry Restored in Dibosons at the LHC?, JHEP 10 (2015) 182 [arXiv:1507.00013] [INSPIRE].
F.F. Deppisch et al., Reconciling the 2 TeV excesses at the LHC in a linear seesaw left-right model, Phys. Rev. D 93 (2016) 013011 [arXiv:1508.05940] [INSPIRE].
M. Cvetič and J.C. Pati, N = 1 Supergravity Within the Minimal Left-right Symmetric Model, Phys. Lett. B 135 (1984) 57 [INSPIRE].
R. Kuchimanchi and R.N. Mohapatra, No parity violation without R-parity violation, Phys. Rev. D 48 (1993) 4352 [hep-ph/9306290] [INSPIRE].
K.S. Babu and R.N. Mohapatra, Minimal Supersymmetric Left-Right Model, Phys. Lett. B 668 (2008) 404 [arXiv:0807.0481] [INSPIRE].
L. Basso, B. Fuks, M.E. Krauss and W. Porod, Doubly-charged Higgs and vacuum stability in left-right supersymmetry, JHEP 07 (2015) 147 [arXiv:1503.08211] [INSPIRE].
S.K. Majee, M.K. Parida, A. Raychaudhuri and U. Sarkar, Low intermediate scales for leptogenesis in SUSY SO(10) GUTs, Phys. Rev. D 75 (2007) 075003 [hep-ph/0701109] [INSPIRE].
V. De Romeri, M. Hirsch and M. Malinsky, Soft masses in SUSY SO(10) GUTs with low intermediate scales, Phys. Rev. D 84 (2011) 053012 [arXiv:1107.3412] [INSPIRE].
C. Arbelaez, R.M. Fonseca, M. Hirsch and J.C. Romao, Supersymmetric SO(10)-inspired GUTs with sliding scales, Phys. Rev. D 87 (2013) 075010 [arXiv:1301.6085] [INSPIRE].
C. Arbeláez, M. Hirsch, M. Malinský and J.C. Romão, LHC-scale left-right symmetry and unification, Phys. Rev. D 89 (2014) 035002 [arXiv:1311.3228] [INSPIRE].
P.S.B. Dev and R.N. Mohapatra, TeV Scale Inverse Seesaw in SO(10) and Leptonic Non-Unitarity Effects, Phys. Rev. D 81 (2010) 013001 [arXiv:0910.3924] [INSPIRE].
P.S. Bhupal Dev and R.N. Mohapatra, Electroweak Symmetry Breaking and Proton Decay in SO(10) SUSY-GUT with TeV W(R), Phys. Rev. D 82 (2010) 035014 [arXiv:1003.6102] [INSPIRE].
A. Falkowski, D.M. Straub and A. Vicente, Vector-like leptons: Higgs decays and collider phenomenology, JHEP 05 (2014) 092 [arXiv:1312.5329] [INSPIRE].
S.P. Martin, A Supersymmetry primer, hep-ph/9709356 [INSPIRE].
ATLAS collaboration, Search for new phenomena in dijet mass and angular distributions from pp collisions at \( \sqrt{s}=13 \) TeV with the ATLAS detector, Phys. Lett. B 754 (2016) 302 [arXiv:1512.01530] [INSPIRE].
S. Bertolini, A. Maiezza and F. Nesti, Present and Future K and B Meson Mixing Constraints on TeV Scale Left-Right Symmetry, Phys. Rev. D 89 (2014) 095028 [arXiv:1403.7112] [INSPIRE].
Y. Zhang, H. An and X.-d. Ji, Constraining the right-handed scale through kaon mixing in the supesymmetric left-right model, Phys. Rev. D 78 (2008) 035006 [arXiv:0710.1454] [INSPIRE].
J.A. Aguilar-Saavedra, R. Benbrik, S. Heinemeyer and M. Pérez-Victoria, Handbook of vectorlike quarks: Mixing and single production, Phys. Rev. D 88 (2013) 094010 [arXiv:1306.0572] [INSPIRE].
D.V. Forero, S. Morisi, M. Tortola and J.W.F. Valle, Lepton flavor violation and non-unitary lepton mixing in low-scale type-I seesaw, JHEP 09 (2011) 142 [arXiv:1107.6009] [INSPIRE].
W. Porod, SPheno, a program for calculating supersymmetric spectra, SUSY particle decays and SUSY particle production at e + e − colliders, Comput. Phys. Commun. 153 (2003) 275 [hep-ph/0301101] [INSPIRE].
W. Porod and F. Staub, SPheno 3.1: Extensions including flavour, CP-phases and models beyond the MSSM, Comput. Phys. Commun. 183 (2012) 2458 [arXiv:1104.1573] [INSPIRE].
F. Staub, SARAH, arXiv:0806.0538 [INSPIRE].
F. Staub, From Superpotential to Model Files for FeynArts and CalcHep/CompHEP, Comput. Phys. Commun. 181 (2010) 1077 [arXiv:0909.2863] [INSPIRE].
F. Staub, Automatic Calculation of supersymmetric Renormalization Group Equations and Self Energies, Comput. Phys. Commun. 182 (2011) 808 [arXiv:1002.0840] [INSPIRE].
F. Staub, SARAH 3.2: Dirac Gauginos, UFO output and more, Comput. Phys. Commun. 184 (2013) 1792 [arXiv:1207.0906] [INSPIRE].
F. Staub, SARAH 4 : A tool for (not only SUSY) model builders, Comput. Phys. Commun. 185 (2014) 1773 [arXiv:1309.7223] [INSPIRE].
F. Staub, Exploring new models in all detail with SARAH, Adv. High Energy Phys. 2015 (2015) 840780 [arXiv:1503.04200] [INSPIRE].
M.D. Goodsell, K. Nickel and F. Staub, Two-Loop Higgs mass calculations in supersymmetric models beyond the MSSM with SARAH and SPheno, Eur. Phys. J. C 75 (2015) 32 [arXiv:1411.0675] [INSPIRE].
M. Goodsell, K. Nickel and F. Staub, Generic two-loop Higgs mass calculation from a diagrammatic approach, Eur. Phys. J. C 75 (2015) 290 [arXiv:1503.03098] [INSPIRE].
K. Huitu, P.N. Pandita and K. Puolamaki, Mass of the lightest Higgs boson in supersymmetric left-right models, Phys. Lett. B 423 (1998) 97 [hep-ph/9708486] [INSPIRE].
K.S. Babu and A. Patra, Higgs Boson Spectra in Supersymmetric Left-Right Models, arXiv:1412.8714 [INSPIRE].
M.E. Krauss, W. Porod and F. Staub, SO(10) inspired gauge-mediated supersymmetry breaking, Phys. Rev. D 88 (2013) 015014 [arXiv:1304.0769] [INSPIRE].
M. Hirsch, M. Malinsky, W. Porod, L. Reichert and F. Staub, Hefty MSSM-like light Higgs in extended gauge models, JHEP 02 (2012) 084 [arXiv:1110.3037] [INSPIRE].
M. Hirsch, W. Porod, L. Reichert and F. Staub, Phenomenology of the minimal supersymmetric U(1) B−L × U(1) R extension of the standard model, Phys. Rev. D 86 (2012) 093018 [arXiv:1206.3516] [INSPIRE].
CMS collaboration, Search for resonances and quantum black holes using dijet mass spectra in proton-proton collisions at \( \sqrt{s}=8 \) TeV, Phys. Rev. D 91 (2015) 052009 [arXiv:1501.04198] [INSPIRE].
J.H. Collins and W.H. Ng, A 2 TeV W R , supersymmetry and the Higgs mass, JHEP 01 (2016) 159 [arXiv:1510.08083] [INSPIRE].
M.E. Krauss and W. Porod, Is the CMS eejj excess a hint for light supersymmetry?, Phys. Rev. D 92 (2015) 055019 [arXiv:1507.04349] [INSPIRE].
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Hirsch, M., Krauss, M.E., Opferkuch, T. et al. A constrained supersymmetric left-right model. J. High Energ. Phys. 2016, 9 (2016). https://doi.org/10.1007/JHEP03(2016)009
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DOI: https://doi.org/10.1007/JHEP03(2016)009