Abstract
Requiring that the contributions of supersymmetric particles to the Higgs mass are not highly tuned places upper limits on the masses of superpartners — in particular the higgsino, stop, and gluino. We revisit the details of the tuning calculation and introduce a number of improvements, including RGE resummation, two-loop effects, a proper treatment of UV vs. IR masses, and threshold corrections. This improved calculation more accurately connects the tuning measure with the physical masses of the superpartners at LHC-accessible energies. After these refinements, the tuning bound on the stop is now also sensitive to the masses of the 1st and 2nd generation squarks, which limits how far these can be decoupled in Effective SUSY scenarios. We find that, for a fixed level of tuning, our bounds can allow for heavier gluinos and stops than previously considered. Despite this, the natural region of supersymmetry is under pressure from the LHC constraints, with high messenger scales particularly disfavored.
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References
S.P. Martin, A supersymmetry primer, hep-ph/9709356 [INSPIRE].
R. Barbieri and G.F. Giudice, Upper Bounds on Supersymmetric Particle Masses, Nucl. Phys. B 306 (1988) 63 [INSPIRE].
S. Dimopoulos and G.F. Giudice, Naturalness constraints in supersymmetric theories with nonuniversal soft terms, Phys. Lett. B 357 (1995) 573 [hep-ph/9507282] [INSPIRE].
A.G. Cohen, D.B. Kaplan and A.E. Nelson, The More minimal supersymmetric standard model, Phys. Lett. B 388 (1996) 588 [hep-ph/9607394] [INSPIRE].
R. Kitano and Y. Nomura, Supersymmetry, naturalness and signatures at the LHC, Phys. Rev. D 73 (2006) 095004 [hep-ph/0602096] [INSPIRE].
ATLAS collaboration, ATLAS Higgs Physics Public Results, https://twiki.cern.ch/twiki/bin/view/AtlasPublic/HiggsPublicResults.
CMS collaboration, CMS Higgs Physics Results, https://twiki.cern.ch/twiki/bin/view/CMSPublic/PhysicsResultsHIG.
R. Essig and J.-F. Fortin, The Minimally Tuned Minimal Supersymmetric Standard Model, JHEP 04 (2008) 073 [arXiv:0709.0980] [INSPIRE].
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.A. Casas, J.M. Moreno, S. Robles, K. Rolbiecki and B. Zaldívar, What is a Natural SUSY scenario?, JHEP 06 (2015) 070 [arXiv:1407.6966] [INSPIRE].
M. Papucci, J.T. Ruderman and A. Weiler, Natural SUSY Endures, JHEP 09 (2012) 035 [arXiv:1110.6926] [INSPIRE].
S. Knapen, D. Redigolo and D. Shih, General Gauge Mediation at the Weak Scale, JHEP 03 (2016) 046 [arXiv:1507.04364] [INSPIRE].
S.P. Martin, Two loop effective potential for the minimal supersymmetric standard model, Phys. Rev. D 66 (2002) 096001 [hep-ph/0206136] [INSPIRE].
D.M. Pierce, J.A. Bagger, K.T. Matchev and R.-j. Zhang, Precision corrections in the minimal supersymmetric standard model, Nucl. Phys. B 491 (1997) 3 [hep-ph/9606211] [INSPIRE].
K. Agashe and M. Graesser, Supersymmetry breaking and the supersymmetric flavor problem: An analysis of decoupling the first two generation scalars, Phys. Rev. D 59 (1999) 015007 [hep-ph/9801446] [INSPIRE].
M.R. Buckley, D. Feld, S. Macaluso, A. Monteux and D. Shih, Cornering Natural SUSY at LHC Run II and Beyond, arXiv:1610.08059 [INSPIRE].
R. Mahbubani, M. Papucci, G. Perez, J.T. Ruderman and A. Weiler, Light Nondegenerate Squarks at the LHC, Phys. Rev. Lett. 110 (2013) 151804 [arXiv:1212.3328] [INSPIRE].
U. Ellwanger, C. Hugonie and A.M. Teixeira, The Next-to-Minimal Supersymmetric Standard Model, Phys. Rept. 496 (2010) 1 [arXiv:0910.1785] [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].
L.J. Hall, D. Pinner and J.T. Ruderman, A Natural SUSY Higgs Near 126 GeV, JHEP 04 (2012) 131 [arXiv:1112.2703] [INSPIRE].
S. Heinemeyer, O. Stal and G. Weiglein, Interpreting the LHC Higgs Search Results in the MSSM, Phys. Lett. B 710 (2012) 201 [arXiv:1112.3026] [INSPIRE].
A. Arbey, M. Battaglia, A. Djouadi, F. Mahmoudi and J. Quevillon, Implications of a 125 GeV Higgs for supersymmetric models, Phys. Lett. B 708 (2012) 162 [arXiv:1112.3028] [INSPIRE].
A. Arbey, M. Battaglia and F. Mahmoudi, Constraints on the MSSM from the Higgs Sector: A pMSSM Study of Higgs Searches, B 0 s → μ + μ − and Dark Matter Direct Detection, Eur. Phys. J. C 72 (2012) 1906 [arXiv:1112.3032] [INSPIRE].
P. Draper, P. Meade, M. Reece and D. Shih, Implications of a 125 GeV Higgs for the MSSM and Low-Scale SUSY Breaking, Phys. Rev. D 85 (2012) 095007 [arXiv:1112.3068] [INSPIRE].
M. Carena, S. Gori, N.R. Shah and C.E.M. Wagner, A 125 GeV SM-like Higgs in the MSSM and the γγ rate, JHEP 03 (2012) 014 [arXiv:1112.3336] [INSPIRE].
F. Staub, SARAH 4: A tool for (not only SUSY) model builders, Comput. Phys. Commun. 185 (2014) 1773 [arXiv:1309.7223] [INSPIRE].
N. Arkani-Hamed and H. Murayama, Can the supersymmetric flavor problem decouple?, Phys. Rev. D 56 (1997) R6733 [hep-ph/9703259] [INSPIRE].
J. Hisano, K. Kurosawa and Y. Nomura, Natural effective supersymmetry, Nucl. Phys. B 584 (2000) 3 [hep-ph/0002286] [INSPIRE].
N. Arkani-Hamed, M.A. Luty and J. Terning, Composite quarks and leptons from dynamical supersymmetry breaking without messengers, Phys. Rev. D 58 (1998) 015004 [hep-ph/9712389] [INSPIRE].
M. Gabella, T. Gherghetta and J. Giedt, A gravity dual and LHC study of single-sector supersymmetry breaking, Phys. Rev. D 76 (2007) 055001 [arXiv:0704.3571] [INSPIRE].
O. Aharony, L. Berdichevsky, M. Berkooz, Y. Hochberg and D. Robles-Llana, Inverted Sparticle Hierarchies from Natural Particle Hierarchies, Phys. Rev. D 81 (2010) 085006 [arXiv:1001.0637] [INSPIRE].
N. Craig, D. Green and A. Katz, (De)Constructing a Natural and Flavorful Supersymmetric Standard Model, JHEP 07 (2011) 045 [arXiv:1103.3708] [INSPIRE].
E. Hardy and J. March-Russell, Retrofitted Natural Supersymmetry from a U(1), JHEP 05 (2013) 120 [arXiv:1302.5423] [INSPIRE].
P.J. Fox, A.E. Nelson and N. Weiner, Dirac gaugino masses and supersoft supersymmetry breaking, JHEP 08 (2002) 035 [hep-ph/0206096] [INSPIRE].
G.D. Kribs and A. Martin, Supersoft Supersymmetry is Super-Safe, Phys. Rev. D 85 (2012) 115014 [arXiv:1203.4821] [INSPIRE].
K. Agashe, Y. Cui and R. Franceschini, Natural Islands for a 125 GeV Higgs in the scale-invariant NMSSM, JHEP 02 (2013) 031 [arXiv:1209.2115] [INSPIRE].
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].
S. Dimopoulos, K. Howe and J. March-Russell, Maximally Natural Supersymmetry, Phys. Rev. Lett. 113 (2014) 111802 [arXiv:1404.7554] [INSPIRE].
S.P. Martin, Nonstandard supersymmetry breaking and Dirac gaugino masses without supersoftness, Phys. Rev. D 92 (2015) 035004 [arXiv:1506.02105] [INSPIRE].
T. Cohen, J. Kearney and M. Luty, Natural Supersymmetry without Light Higgsinos, Phys. Rev. D 91 (2015) 075004 [arXiv:1501.01962] [INSPIRE].
I. Garcia Garcia, K. Howe and J. March-Russell, Natural Scherk-Schwarz Theories of the Weak Scale, JHEP 12 (2015) 005 [arXiv:1510.07045] [INSPIRE].
A. Delgado, M. Garcia-Pepin, G. Nardini and M. Quirós, Natural Supersymmetry from Extra Dimensions, Phys. Rev. D 94 (2016) 095017 [arXiv:1608.06470] [INSPIRE].
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Buckley, M.R., Monteux, A. & Shih, D. Precision corrections to fine tuning in SUSY. J. High Energ. Phys. 2017, 103 (2017). https://doi.org/10.1007/JHEP06(2017)103
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DOI: https://doi.org/10.1007/JHEP06(2017)103