Abstract
We study the fine tuning in the parameter space of the semi-constrained NMSSM, where most soft Susy breaking parameters are universal at the GUT scale. We discuss the dependence of the fine tuning on the soft Susy breaking parameters M 1/2 and m 0, and on the Higgs masses in NMSSM specific scenarios involving large singlet-doublet Higgs mixing or dominant Higgs-to-Higgs decays. Whereas these latter scenarios allow a priori for considerably less fine tuning than the constrained MSSM, the early LHC results rule out a large part of the parameter space of the semi-constrained NMSSM corresponding to low values of the fine tuning.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
E. Witten, Dynamical breaking of supersymmetry, Nucl. Phys. B 188 (1981) 513 [SPIRES].
S. Dimopoulos and H. Georgi, Softly broken supersymmetry and SU(5), Nucl. Phys. B 193 (1981) 150 [SPIRES].
E. Witten, Mass hierarchies in supersymmetric theories, Phys. Lett. B 105 (1981) 267 [SPIRES].
N. Sakai, Naturalness in supersymmetric guts, Z. Phys. C 11 (1981) 153 [SPIRES].
R.K. Kaul and P. Majumdar, Cancellation of quadratically divergent mass corrections in globally supersymmetric spontaneously broken gauge theories, Nucl. Phys. B 199 (1982) 36 [SPIRES].
ATLAS collaboration, Highlights and searches in ATLAS, talk given at the 2011 Europhysics Conference on High Energy Physics, Grenoble France, 21–27 July 2011, Atlas Note ATL-COM-PHYS-2011-981.
CMS collaboration, Search for supersymmetry in all-hadronic events with α T , talk given at the 2011 Europhysics Conference on High Energy Physics, Grenoble France, 21–27 July 2011, CMS Note CMS-PAS-SUS-11-003.
https://twiki.cern.ch/twiki/bin/view/AtlasPublic/SupersymmetryPublicResults.
https://twiki.cern.ch/twiki/bin/view/CMSPublic/PhysicsResultsSUS.
ALEPH, DELPHI, L3 and OPAL collaborations and LEP Working Group for Higgs Boson Searches, S. Schael et al., Search for neutral MSSM Higgs bosons at LEP, Eur. Phys. J. C 47 (2006) 547 [hep-ex/0602042] [SPIRES].
P.H. Chankowski, J.R. Ellis and S. Pokorski, The fine-tuning price of LEP, Phys. Lett. B 423 (1998) 327 [hep-ph/9712234] [SPIRES].
R. Barbieri and A. Strumia, About the fine-tuning price of LEP, Phys. Lett. B 433 (1998) 63 [hep-ph/9801353] [SPIRES].
G.L. Kane and S.F. King, Naturalness implications of LEP results, Phys. Lett. B 451 (1999) 113 [hep-ph/9810374] [SPIRES].
L. Giusti, A. Romanino and A. Strumia, Natural ranges of supersymmetric signals, Nucl. Phys. B 550 (1999) 3 [hep-ph/9811386] [SPIRES].
M. Maniatis, The next-to-minimal supersymmetric extension of the standard model reviewed, Int. J. Mod. Phys. A 25 (2010) 3505 [arXiv:0906.0777] [SPIRES].
U. Ellwanger, C. Hugonie and A.M. Teixeira, The next-to-minimal supersymmetric standard model, Phys. Rept. 496 (2010) 1 [arXiv:0910.1785] [SPIRES].
M. Bastero-Gil, C. Hugonie, S.F. King, D.P. Roy and S. Vempati, Does LEP prefer the NMSSM?, Phys. Lett. B 489 (2000) 359 [hep-ph/0006198] [SPIRES].
R. Dermisek and J.F. Gunion, A comparison of mixed-Higgs scenarios in the NMSSM and the MSSM, Phys. Rev. D 77 (2008) 015013 [arXiv:0709.2269] [SPIRES].
U. Ellwanger and C. Hugonie, The upper bound on the lightest Higgs mass in the NMSSM revisited, Mod. Phys. Lett. A 22 (2007) 1581 [hep-ph/0612133] [SPIRES].
R. Barbieri, L.J. Hall, Y. Nomura and V.S. Rychkov, Supersymmetry without a light Higgs boson, Phys. Rev. D 75 (2007) 035007 [hep-ph/0607332] [SPIRES].
R. Dermisek and J.F. Gunion, Escaping the large fine tuning and little hierarchy problems in the next to minimal supersymmetric model and h → aa decays, Phys. Rev. Lett. 95 (2005) 041801 [hep-ph/0502105] [SPIRES].
R. Dermisek and J.F. Gunion, Consistency of LEP event excesses with an h → aa decay scenario and low-fine-tuning NMSSM models, Phys. Rev. D 73 (2006) 111701 [hep-ph/0510322] [SPIRES].
R. Dermisek and J.F. Gunion, The NMSSM solution to the fine-tuning problem, precision electroweak constraints and the largest LEP Higgs event excess, Phys. Rev. D 76 (2007) 095006 [arXiv:0705.4387] [SPIRES].
R. Dermisek, Unusual Higgs or supersymmetry from natural electroweak symmetry breaking, Mod. Phys. Lett. A 24 (2009) 1631 [arXiv:0907.0297] [SPIRES].
J.R. Ellis, K. Enqvist, D.V. Nanopoulos and F. Zwirner, Observables in low-energy superstring models, Mod. Phys. Lett. A 1 (1986) 57 [SPIRES].
R. Barbieri and G.F. Giudice, Upper bounds on supersymmetric particle masses, Nucl. Phys. B 306 (1988) 63 [SPIRES].
B. de Carlos and J.A. Casas, One loop analysis of the electroweak breaking in supersymmetric models and the fine tuning problem, Phys. Lett. B 309 (1993) 320 [hep-ph/9303291] [SPIRES].
P. Ciafaloni and A. Strumia, Naturalness upper bounds on gauge mediated soft terms, Nucl. Phys. B 494 (1997) 41 [hep-ph/9611204] [SPIRES].
P.H. Chankowski, J.R. Ellis, M. Olechowski and S. Pokorski, Haggling over the fine-tuning price of LEP, Nucl. Phys. B 544 (1999) 39 [hep-ph/9808275] [SPIRES].
S. Cassel, D.M. Ghilencea and G.G. Ross, Testing SUSY, Phys. Lett. B 687 (2010) 214 [arXiv:0911.1134] [SPIRES].
S. Cassel, D.M. Ghilencea and G.G. Ross, Testing SUSY at the LHC: electroweak and dark matter fine tuning at two-loop order, Nucl. Phys. B 835 (2010) 110 [arXiv:1001.3884] [SPIRES].
S. Cassel, D.M. Ghilencea, S. Kraml, A. Lessa and G.G. Ross, Fine-tuning implications for complementary dark matter and LHC SUSY searches, JHEP 05 (2011) 120 [arXiv:1101.4664] [SPIRES].
S. Cassel and D.M. Ghilencea, A review of naturalness and dark matter prediction for the Higgs mass in MSSM and beyond, arXiv:1103.4793 [SPIRES].
G.W. Anderson and D.J. Castano, Measures of fine tuning, Phys. Lett. B 347 (1995) 300 [hep-ph/9409419] [SPIRES].
K.L. Chan, U. Chattopadhyay and P. Nath, Naturalness, weak scale supersymmetry and the prospect for the observation of supersymmetry at the Tevatron and at the LHC, Phys. Rev. D 58 (1998) 096004 [hep-ph/9710473] [SPIRES].
A. Strumia, The fine-tuning price of the early LHC, JHEP 04 (2011) 073 [arXiv:1101.2195] [SPIRES].
S. Akula et al., Interpreting the first CMS and ATLAS SUSY results, Phys. Lett. B 699 (2011) 377 [arXiv:1103.1197] [SPIRES].
J.A. Conley, J.S. Gainer, J.L. Hewett, M.P. Le and T.G. Rizzo, Supersymmetry without prejudice at the 7 TeV LHC, arXiv:1103.1697 [SPIRES].
M. Farina, M. Kadastik, D. Pappadopulo, J. Pata, M. Raidal and A. Strumia, Implications of XENON100 and LHC results for dark matter models, arXiv:1104.3572 [SPIRES].
K. Sakurai and K. Takayama, Constraint from recent ATLAS results to non-universal sfermion mass models and naturalness, arXiv:1106.3794 [SPIRES].
S. Scopel, S. Choi, N. Fornengo and A. Bottino, Impact of the recent results by the CMS and ATLAS collaborations at the CERN Large Hadron Collider on an effective minimal supersymmetric extension of the standard model, Phys. Rev. D 83 (2011) 095016 [arXiv:1102.4033] [SPIRES].
D.E. Lopez-Fogliani, L. Roszkowski, R.R. de Austri and T.A. Varley, A Bayesian analysis of the constrained NMSSM, Phys. Rev. D 80 (2009) 095013 [arXiv:0906.4911] [SPIRES].
J.F. Gunion, D.E. Lopez-Fogliani, L. Roszkowski, R. Ruiz de Austri and T.A. Varley, Next-to-minimal supersymmetric model Higgs scenarios for partially universal GUT scale boundary conditions, arXiv:1105.1195 [SPIRES].
F. Feroz, K. Cranmer, M. Hobson, R. Ruiz de Austri and R. Trotta, Challenges of profile likelihood evaluation in multi-dimensional SUSY scans, JHEP 06 (2011) 042 [arXiv:1101.3296] [SPIRES].
B.C. Allanach, Impact of CMS multi-jets and missing energy search on CMSSM fits, Phys. Rev. D 83 (2011) 095019 [arXiv:1102.3149] [SPIRES].
P. Bechtle et al., What if the LHC does not find supersymmetry in the \( \sqrt {s} = 7 \) TeV run?, Phys. Rev. D 84 (2011) 011701 [arXiv:1102.4693] [SPIRES].
B.C. Allanach, T.J. Khoo, C.G. Lester and S.L. Williams, The impact of the ATLAS zero-lepton, jets and missing momentum search on a CMSSM fit, JHEP 06 (2011) 035 [arXiv:1103.0969] [SPIRES].
O. Buchmueller et al., Implications of initial LHC searches for supersymmetry, Eur. Phys. J. C 71 (2011) 1634 [arXiv:1102.4585] [SPIRES].
P. Bechtle et al., Present and possible future implications for mSUGRA of the non-discovery of SUSY at the LHC, arXiv:1105.5398 [SPIRES].
G.G. Ross and R.G. Roberts, Minimal supersymmetric unification predictions, Nucl. Phys. B 377 (1992) 571 [SPIRES].
U. Ellwanger and C. Hugonie, NMSPEC: a Fortran code for the sparticle and Higgs masses in the NMSSM with GUT scale boundary conditions, Comput. Phys. Commun. 177 (2007) 399 [hep-ph/0612134] [SPIRES].
U. Ellwanger, J.F. Gunion and C. Hugonie, NMHDECAY : a Fortran code for the Higgs masses, couplings and decay widths in the NMSSM, JHEP 02 (2005) 066 [hep-ph/0406215] [SPIRES].
U. Ellwanger and C. Hugonie, NMHDECAY 2.0: an updated program for sparticle masses, Higgs masses, couplings and decay widths in the NMSSM, Comput. Phys. Commun. 175 (2006) 290 [hep-ph/0508022] [SPIRES].
U. Ellwanger, A. Florent and D. Zerwas, Discovering the constrained NMSSM with τ leptons at the LHC, JHEP 01 (2011) 103 [arXiv:1011.0931] [SPIRES].
OPAL collaboration, G. Abbiendi et al., Search for neutral Higgs boson in CP-conserving and CP-violating MSSM scenarios, Eur. Phys. J. C 37 (2004) 49 [hep-ex/0406057] [SPIRES].
DELPHI collaboration, J. Abdallah et al., Searches for neutral Higgs bosons in extended models, Eur. Phys. J. C 38 (2004) 1 [hep-ex/0410017] [SPIRES].
ALEPH collaboration, S. Schael et al., Search for neutral Higgs bosons decaying into four taus at LEP2, JHEP 05 (2010) 049 [arXiv:1003.0705] [SPIRES].
F. Domingo, U. Ellwanger and M.-A. Sanchis-Lozano, Bottomoniom spectroscopy with mixing of η b states and a light CP-odd Higgs, Phys. Rev. Lett. 103 (2009) 111802 [arXiv:0907.0348] [SPIRES].
F. Domingo and U. Ellwanger, Reduced branching ratio for H → AA → 4τ from A − η b mixing, JHEP 06 (2011) 067 [arXiv:1105.1722] [SPIRES].
U. Ellwanger, C.C. Jean-Louis and A.M. Teixeira, Phenomenology of the general NMSSM with gauge mediated supersymmetry breaking, JHEP 05 (2008) 044 [arXiv:0803.2962] [SPIRES].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1107.2472
Rights and permissions
Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Ellwanger, U., Espitalier-Noël, G. & Hugonie, C. Naturalness and fine tuning in the NMSSM: implications of early LHC results. J. High Energ. Phys. 2011, 105 (2011). https://doi.org/10.1007/JHEP09(2011)105
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2011)105