Abstract
We compute the tuning in supersymmetric models associated with the constraints from collider measurements of the Higgs couplings to fermions and gauge bosons. In supersymmetric models, a CP -even state with SM Higgs couplings mixes with additional, heavier CP -even states, causing deviations in the Higgs couplings from SM values. These deviations are reduced as the heavy states are decoupled with large soft masses, thereby exacerbating the tuning associated with the electroweak scale. This new source of tuning is different from that derived from collider limits on stops, gluinos and Higgsinos. It can be offset with large tan β in the MSSM, however this compensating effect is limited in the NMSSM with a large Higgs-singlet coupling due to restrictions on large tan β from electroweak precision tests. We derive a lower bound on this tuning and show that the level of precision of Higgs coupling measurements at the LHC will probe naturalness in the NMSSM at the few-percent level. This is comparable to the tuning derived from superpartner limits in models with a low messenger scale and split families. Instead the significant improvement in sensitivity of Higgs coupling measurements at the ILC will allow naturalness in these models to be constrained at the per-mille level, beyond any tuning derived from direct superpartner limits.
Article PDF
Similar content being viewed by others
References
T. Gherghetta, B. von Harling, A.D. Medina and M.A. Schmidt, The Scale-Invariant NMSSM and the 126 GeV Higgs Boson, JHEP 02 (2013) 032 [arXiv:1212.5243] [INSPIRE].
A. Arvanitaki and G. Villadoro, A Non Standard Model Higgs at the LHC as a Sign of Naturalness, JHEP 02 (2012) 144 [arXiv:1112.4835] [INSPIRE].
N. Craig, C. Englert and M. McCullough, A New Probe of Naturalness, Phys. Rev. Lett. 111 (2013) 121803 [arXiv:1305.5251] [INSPIRE].
M. Farina, M. Perelstein and N. R.-L. Lorier, Higgs Couplings and Naturalness, arXiv:1305.6068 [INSPIRE].
J. Fan and M. Reece, A New Look at Higgs Constraints on Stops, arXiv:1401.7671 [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].
B. Bellazzini, C. Csáki, A. Delgado and A. Weiler, SUSY without the Little Hierarchy, Phys. Rev. D 79 (2009) 095003 [arXiv:0902.0015] [INSPIRE].
A.D. Medina, N.R. Shah and C.E.M. Wagner, A Heavy Higgs and a Light Sneutrino NLSP in the MSSM with Enhanced SU(2) D-terms, Phys. Rev. D 80 (2009) 015001 [arXiv:0904.1625] [INSPIRE].
A. Bharucha, A. Goudelis and M. McGarrie, En-gauging Naturalness, arXiv:1310.4500 [INSPIRE].
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] [INSPIRE].
R. Franceschini and S. Gori, Solving the μ problem with a heavy Higgs boson, JHEP 05 (2011) 084 [arXiv:1005.1070] [INSPIRE].
L.J. Hall, D. Pinner and J.T. Ruderman, A Natural SUSY Higgs Near 126 GeV, JHEP 04 (2012) 131 [arXiv:1112.2703] [INSPIRE].
M.E. Peskin, Estimation of LHC and ILC Capabilities for Precision Higgs Boson Coupling Measurements, arXiv:1312.4974 [INSPIRE].
M. Farina, M. Perelstein and B. Shakya, Higgs Couplings and Naturalness in λ-SUSY, arXiv:1310.0459 [INSPIRE].
R.S. Gupta, H. Rzehak and J.D. Wells, How well do we need to measure Higgs boson couplings?, Phys. Rev. D 86 (2012) 095001 [arXiv:1206.3560] [INSPIRE].
K. Blum, R.T. D’Agnolo and J. Fan, Natural SUSY Predicts: Higgs Couplings, JHEP 01 (2013) 057 [arXiv:1206.5303] [INSPIRE].
R.T. D’Agnolo, E. Kuflik and M. Zanetti, Fitting the Higgs to Natural SUSY, JHEP 03 (2013) 043 [arXiv:1212.1165] [INSPIRE].
R.S. Gupta, M. Montull and F. Riva, SUSY Faces its Higgs Couplings, JHEP 04 (2013) 132 [arXiv:1212.5240] [INSPIRE].
R. Barbieri, D. Buttazzo, K. Kannike, F. Sala and A. Tesi, Exploring the Higgs sector of a most natural NMSSM, Phys. Rev. D 87 (2013) 115018 [arXiv:1304.3670] [INSPIRE].
R. Barbieri and G.F. Giudice, Upper Bounds on Supersymmetric Particle Masses, Nucl. Phys. B 306 (1988) 63 [INSPIRE].
H. Baer, V. Barger, P. Huang, A. Mustafayev and X. Tata, Radiative natural SUSY with a 125 GeV Higgs boson, Phys. Rev. Lett. 109 (2012) 161802 [arXiv:1207.3343] [INSPIRE].
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] [INSPIRE].
M.S. Carena, J.R. Espinosa, M. Quirós and C.E.M. Wagner, Analytical expressions for radiatively corrected Higgs masses and couplings in the MSSM, Phys. Lett. B 355 (1995) 209 [hep-ph/9504316] [INSPIRE].
R. Harnik, G.D. Kribs, D.T. Larson and H. Murayama, The minimal supersymmetric fat Higgs model, Phys. Rev. D 70 (2004) 015002 [hep-ph/0311349] [INSPIRE].
T. Gherghetta, B. von Harling and N. Setzer, A natural little hierarchy for RS from accidental SUSY, JHEP 07 (2011) 011 [arXiv:1104.3171] [INSPIRE].
A. Delgado, G. Nardini and M. Quirós, A Light Supersymmetric Higgs Sector Hidden by a Standard Model-like Higgs, JHEP 07 (2013) 054 [arXiv:1303.0800] [INSPIRE].
M. Carena, I. Low, N.R. Shah and C.E.M. Wagner, Impersonating the Standard Model Higgs Boson: Alignment without Decoupling, JHEP 04 (2014) 015 [arXiv:1310.2248] [INSPIRE].
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] [INSPIRE].
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] [INSPIRE].
G. Bélanger, F. Boudjema, C. Hugonie, A. Pukhov and A. Semenov, Relic density of dark matter in the NMSSM, JCAP 09 (2005) 001 [hep-ph/0505142] [INSPIRE].
N. Craig and K. Howe, Doubling down on naturalness with a supersymmetric twin Higgs, JHEP 03 (2014) 140 [arXiv:1312.1341] [INSPIRE].
ATLAS collaboration, Searches for Supersymmetry at the high luminosity LHC with the ATLAS Detector, ATL-PHYS-PUB-2013-002, (2013).
A. Arvanitaki, M. Baryakhtar, X. Huang, K. van Tilburg and G. Villadoro, The Last Vestiges of Naturalness, JHEP 03 (2014) 022 [arXiv:1309.3568] [INSPIRE].
J.D. Hunter, Matplotlib: A 2D Graphics Environment, Comput. Sci. Eng. 9 (2007) 90.
F. Pérez and B.E. Granger, IPython: A System for Interactive Scientific Computing, Comput. Sci. Eng. 9 (2007) 21.
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1401.8291
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Gherghetta, T., von Harling, B., Medina, A.D. et al. The price of being SM-like in SUSY. J. High Energ. Phys. 2014, 180 (2014). https://doi.org/10.1007/JHEP04(2014)180
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP04(2014)180