Abstract
In this paper, we minimize and compare two different fine-tuning measures in four high-scale supersymmetric models that are embedded in the MSSM. In addition, we determine the impact of current and future dark matter direct detection and collider experiments on the fine-tuning. We then compare the low-scale electroweak measure with the high-scale Barbieri-Giudice measure. We find that they reduce to the same value when the higgsino parameter drives the degree of fine-tuning. We also find spectra where the high-scale measure turns out to be lower than the low-scale measure. Depending on the high-scale model and fine-tuning definition, we find a minimal fine-tuning of 3–38 (corresponding to O(10–1)%) for the low-scale measure, and 63–571 (corresponding to O(1–0.1)%) for the high-scale measure. We stress that it is too early to conclude on the fate of supersymmetry, based only on the fine-tuning paradigm.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
L. Susskind, Dynamics of spontaneous symmetry breaking in the Weinberg-Salam theory, Phys. Rev.D 20 (1979) 2619 [INSPIRE].
M.J.G. Veltman, The infrared-ultraviolet connection, Acta Phys. Polon.B 12 (1981) 437 [INSPIRE].
G. ’t Hooft, Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking, NATO Sci. Ser.B 59 (1980) 135.
ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett.B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett.B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
S.P. Martin, A supersymmetry primer, hep-ph/9709356.
E. Witten, Dynamical breaking of supersymmetry, Nucl. Phys.B 188 (1981) 513.
R.K. Kaul, Gauge hierarchy in a supersymmetric model, Phys. Lett.B 109 (1982) 19.
N. Sakai, Naturalness in supersymmetric GUTs, Z. Phys.C 11 (1981) 153.
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].
R. Kitano and Y. Nomura, Supersymmetry, naturalness, and signatures at the CERN LHC, Phys. Rev.D 73 (2006) 095004 [hep-ph/0602096].
L.J. Hall, D. Pinner and J.T. Ruderman, A natural SUSY Higgs near 126 GeV, JHEP04 (2012) 131 [arXiv:1112.2703] [INSPIRE].
H. Baer et al., Radiative natural supersymmetry: reconciling electroweak fine-tuning and the Higgs boson mass, Phys. Rev.D 87 (2013) 115028 [arXiv:1212.2655] [INSPIRE].
R. Barbieri and G.F. Giudice, Upper bounds on supersymmetric particle masses, Nucl. Phys.B 306 (1988) 63 [INSPIRE].
J.L. Feng, K.T. Matchev and T. Moroi, Focus points and naturalness in supersymmetry, Phys. Rev.D 61 (2000) 075005 [hep-ph/9909334] [INSPIRE].
S. Antusch et al., Naturalness and GUT scale Yukawa coupling ratios in the CMSSM, Phys. Rev.D 85 (2012) 035025 [arXiv:1111.6547] [INSPIRE].
Z. Kang, J. Li and T. Li, On naturalness of the MSSM and NMSSM, JHEP11 (2012) 024 [arXiv:1201.5305] [INSPIRE].
M.E. Cabrera, J.A. Casas and R. Ruiz de Austri, The health of SUSY after the Higgs discovery and the XENON100 data, JHEP07 (2013) 182 [arXiv:1212.4821] [INSPIRE].
S. Fichet, Quantified naturalness from Bayesian statistics, Phys. Rev.D 86 (2012) 125029 [arXiv:1204.4940] [INSPIRE].
H. Baer et al., Post-LHC7 fine-tuning in the minimal supergravity/CMSSM model with a 125 GeV Higgs boson, Phys. Rev.D 87 (2013) 035017 [arXiv:1210.3019] [INSPIRE].
H. Baer, V. Barger and M. Padeffke-Kirkland, Electroweak versus high scale finetuning in the 19-parameter SUGRA model, Phys. Rev.D 88 (2013) 055026 [arXiv:1304.6732] [INSPIRE].
C. Balázs et al., Should we still believe in constrained supersymmetry?, Eur. Phys. J.C 73 (2013) 2563 [arXiv:1205.1568] [INSPIRE].
D. Kim et al., Bayesian naturalness of the CMSSM and CNMSSM, Phys. Rev.D 90 (2014) 055008 [arXiv:1312.4150] [INSPIRE].
H. Baer et al., Radiatively-driven natural supersymmetry at the LHC, JHEP12 (2013) 013 [Erratum ibid.06 (2015) 053] [arXiv:1310.4858] [INSPIRE].
C. Boehm, P.S.B. Dev, A. Mazumdar and E. Pukartas, Naturalness of light neutralino dark matter in pMSSM after LHC, XENON100 and Planck data, JHEP06 (2013) 113 [arXiv:1303.5386] [INSPIRE].
A. Fowlie, CMSSM, naturalness and the “fine-tuning price” of the Very Large Hadron Collider, Phys. Rev.D 90 (2014) 015010 [arXiv:1403.3407] [INSPIRE].
J.A. Casas et al., What is a Natural SUSY scenario?, JHEP06 (2015) 070 [arXiv:1407.6966] [INSPIRE].
H. Baer et al., Natural SUSY with a bino- or wino-like LSP, Phys. Rev.D 91 (2015) 075005 [arXiv:1501.06357] [INSPIRE].
M. Drees and J.S. Kim, Minimal natural supersymmetry after the LHC8, Phys. Rev.D 93 (2016) 095005 [arXiv:1511.04461] [INSPIRE].
H. Baer, V. Barger and M. Savoy, Upper bounds on sparticle masses from naturalness or how to disprove weak scale supersymmetry, Phys. Rev.D 93 (2016) 035016 [arXiv:1509.02929] [INSPIRE].
J.A. Casas, J.M. Moreno, S. Robles and K. Rolbiecki, Reducing the fine-tuning of gauge-mediated SUSY breaking, Eur. Phys. J.C 76 (2016) 450 [arXiv:1602.06892] [INSPIRE].
M. van Beekveld et al., Supersymmetry with Dark Matter is still natural, Phys. Rev.D 96 (2017) 035015 [arXiv:1612.06333] [INSPIRE].
A. Çiçi, Z. Kırca and C.S. Ün, Light stops and fine-tuning in MSSM, Eur. Phys. J.C 78 (2018) 60 [arXiv:1611.05270] [INSPIRE].
M.E. Cabrera et al., Naturalness of MSSM dark matter, JHEP08 (2016) 058 [arXiv:1604.02102] [INSPIRE].
M.R. Buckley et al., Cornering natural SUSY at LHC Run II and beyond, JHEP08 (2017) 115 [arXiv:1610.08059] [INSPIRE].
G.G. Ross, K. Schmidt-Hoberg and F. Staub, Revisiting fine-tuning in the MSSM, JHEP03 (2017) 021 [arXiv:1701.03480] [INSPIRE].
H. Baer et al., Reach of the high-energy LHC for gluinos and top squarks in SUSY models with light Higgsinos, Phys. Rev.D 96 (2017) 115008 [arXiv:1708.09054] [INSPIRE].
M. Abdughani, L. Wu and J.M. Yang, Status and prospects of light bino-Higgsino dark matter in natural SUSY, Eur. Phys. J.C 78 (2018) 4 [arXiv:1705.09164] [INSPIRE].
P. Fundira and A. Purves, Bayesian naturalness, simplicity and testability applied to the B − L MSSM GUT, Int. J. Mod. Phys.A 33 (2018) 1841004 [arXiv:1708.07835] [INSPIRE].
H. Baer, V. Barger, D. Sengupta and X. Tata, Is natural higgsino-only dark matter excluded?, Eur. Phys. J.C 78 (2018) 838 [arXiv:1803.11210] [INSPIRE].
F. Wang, K. Wang, J.M. Yang and J. Zhu, Solving the muon g − 2 anomaly in CMSSM extension with non-universal gaugino masses, JHEP12 (2018) 041 [arXiv:1808.10851] [INSPIRE].
J.R. Ellis, K. Enqvist, D.V. Nanopoulos and F. Zwirner, Observables in low-energy superstring models, Mod. Phys. Lett.A 1 (1986) 57 [INSPIRE].
G.L. Kane, C.F. Kolda, L. Roszkowski and J.D. Wells, Study of constrained minimal supersymmetry, Phys. Rev.D 49 (1994) 6173 [hep-ph/9312272] [INSPIRE].
G.W. Anderson and D.J. Castano, Measures of fine tuning, Phys. Lett.B 347 (1995) 300 [hep-ph/9409419] [INSPIRE].
G.W. Anderson and D.J. Castano, Naturalness and superpartner masses or when to give up on weak scale supersymmetry, Phys. Rev.D 52 (1995) 1693 [hep-ph/9412322] [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].
P.H. Chankowski, J.R. Ellis and S. Pokorski, The fine tuning price of LEP, Phys. Lett.B 423 (1998) 327 [hep-ph/9712234] [INSPIRE].
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] [INSPIRE].
J.A. Casas, J.R. Espinosa and I. Hidalgo, The MSSM fine tuning problem: a way out, JHEP01 (2004) 008 [hep-ph/0310137] [INSPIRE].
R. Kitano and Y. Nomura, A solution to the supersymmetric fine-tuning problem within the MSSM, Phys. Lett.B 631 (2005) 58 [hep-ph/0509039] [INSPIRE].
M. Papucci, J.T. Ruderman and A. Weiler, Natural SUSY endures, JHEP09 (2012) 035 [arXiv:1110.6926] [INSPIRE].
M. Liu and P. Nath, Higgs boson mass, proton decay, naturalness and constraints of the LHC and Planck data, Phys. Rev.D 87 (2013) 095012 [arXiv:1303.7472] [INSPIRE].
K. Kowalska and E.M. Sessolo, Natural MSSM after the LHC 8 TeV run, Phys. Rev.D 88 (2013) 075001 [arXiv:1307.5790] [INSPIRE].
A. Arvanitaki et al., The last vestiges of naturalness, JHEP03 (2014) 022 [arXiv:1309.3568] [INSPIRE].
J. Lykken and M. Spiropulu, Supersymmetry and the crisis in physics, Sci. Am.310N5 (2014) 36.
S. Cassel, D.M. Ghilencea and G.G. Ross, Fine tuning as an indication of physics beyond the MSSM, Nucl. Phys.B 825 (2010) 203 [arXiv:0903.1115] [INSPIRE].
G.G. Ross and K. Schmidt-Hoberg, The fine-tuning of the generalised NMSSM, Nucl. Phys.B 862 (2012) 710 [arXiv:1108.1284] [INSPIRE].
I. Gogoladze, F. Nasir and Q. Shafi, Non-universal gaugino masses and natural supersymmetry, Int. J. Mod. Phys.A 28 (2013) 1350046 [arXiv:1212.2593] [INSPIRE].
I. Gogoladze, F. Nasir and Q. Shafi, SO(10) as a framework for natural supersymmetry, JHEP11 (2013) 173 [arXiv:1306.5699] [INSPIRE].
A. Kaminska, G.G. Ross and K. Schmidt-Hoberg, Non-universal gaugino masses and fine tuning implications for SUSY searches in the MSSM and the GNMSSM, JHEP11 (2013) 209 [arXiv:1308.4168] [INSPIRE].
J. Cao et al., Natural NMSSM after LHC Run I and the Higgsino dominated dark matter scenario, JHEP08 (2016) 037 [arXiv:1606.04416] [INSPIRE].
J. Cao et al., Strong constraints of LUX-2016 results on the natural NMSSM, JHEP10 (2016) 136 [arXiv:1609.00204] [INSPIRE].
C. Li, B. Zhu and T. Li, Naturalness, dark matter and the muon anomalous magnetic moment in supersymmetric extensions of the standard model with a pseudo-Dirac gluino, Nucl. Phys.B 927 (2018) 255 [arXiv:1704.05584] [INSPIRE].
B. Zhu, F. Staub and R. Ding, Naturalness and a light Z′, Phys. Rev.D 96 (2017) 035038 [arXiv:1707.03101] [INSPIRE].
P. Athron et al., Bayesian analysis and naturalness of (next-to-)minimal supersymmetric models, JHEP10 (2017) 160 [arXiv:1709.07895] [INSPIRE].
C. Alvarado, A. Delgado and A. Martin, Constraining the R-symmetric chargino NLSP at the LHC, Phys. Rev.D 97 (2018) 115044 [arXiv:1803.00624] [INSPIRE].
X.K. Du et al., NMSSM with generalized deflected mirage mediation, Eur. Phys. J.C 79 (2019) 397 [arXiv:1804.07335] [INSPIRE].
M. Badziak and K. Harigaya, Impact of an extra gauge interaction on naturalness of supersymmetry, JHEP08 (2018) 080 [arXiv:1806.07900] [INSPIRE].
A. Kobakhidze and M. Talia, Supersymmetric naturalness beyond MSSM, JHEP08 (2019) 105 [arXiv:1806.08502] [INSPIRE].
T.T. Yanagida and N. Yokozaki, Focus point gauge mediation without a severe fine-tuning, JHEP10 (2018) 149 [arXiv:1809.00787] [INSPIRE].
M. Badziak, N. Desai, C. Hugonie and R. Ziegler, Extended gauge mediation in the NMSSM with displaced LHC signals, Eur. Phys. J.C 79 (2019) 67 [arXiv:1810.05618] [INSPIRE].
J. Cao et al., Current status of a natural NMSSM in light of LHC 13 TeV data and XENON-1T results, Phys. Rev.D 99 (2019) 075020 [arXiv:1810.09143] [INSPIRE].
K. Wang, F. Wang, J. Zhu and Q. Jie, The semi-constrained NMSSM in light of muon g − 2, LHC and dark matter constraints, Chin. Phys.C 42 (2018) 103109 [arXiv:1811.04435] [INSPIRE].
L. Delle Rose et al., Naturalness and dark matter in the supersymmetric B − L extension of the standard model, Phys. Rev.D 96 (2017) 055004 [arXiv:1702.01808] [INSPIRE].
H. Baer, V. Barger and D. Mickelson, How conventional measures overestimate electroweak fine-tuning in supersymmetric theory, Phys. Rev.D 88 (2013) 095013 [arXiv:1309.2984] [INSPIRE].
H. Baer, V. Barger, D. Mickelson and M. Padeffke-Kirkland, SUSY models under siege: LHC constraints and electroweak fine-tuning, Phys. Rev.D 89 (2014) 115019 [arXiv:1404.2277] [INSPIRE].
M.E. Cabrera, J.A. Casas and R. Ruiz de Austri, Bayesian approach and Naturalness in MSSM analyses for the LHC, JHEP03 (2009) 075 [arXiv:0812.0536] [INSPIRE].
MSSM working group, The minimal supersymmetric standard model: group summary report, talk given at GDR (Groupement De Recherche) — Supersymetrie, April 15–17, Montpellier, France (1998) [hep-ph/9901246].
S.R. Coleman and E.J. Weinberg, Radiative corrections as the origin of spontaneous symmetry breaking, Phys. Rev.D 7 (1973) 1888 [INSPIRE].
A.H. Chamseddine, R.L. Arnowitt and P. Nath, Locally supersymmetric grand unification, Phys. Rev. Lett.49 (1982) 970 [INSPIRE].
R. Barbieri, S. Ferrara and C.A. Savoy, Gauge models with spontaneously broken local supersymmetry, Phys. Lett.119B (1982) 343 [INSPIRE].
N. Ohta, Grand unified theories based on local supersymmetry, Prog. Theor. Phys.70 (1983) 542 [INSPIRE].
L.J. Hall, J.D. Lykken and S. Weinberg, Supergravity as the messenger of supersymmetry breaking, Phys. Rev.D 27 (1983) 2359 [INSPIRE].
M.E. Cabrera, A. Casas, R. Ruiz de Austri and G. Bertone, LHC and dark matter phenomenology of the NUGHM, JHEP12 (2014) 114 [arXiv:1311.7152] [INSPIRE].
M. Peiro and S. Robles, Low-mass neutralino dark matter in supergravity scenarios: phenomenology and naturalness, JCAP05 (2017) 010 [arXiv:1612.00460] [INSPIRE].
A. Delgado, M. Quirós and C. Wagner, General focus point in the MSSM, JHEP04 (2014) 093 [arXiv:1402.1735] [INSPIRE].
A. Mustafayev and X. Tata, Supersymmetry, naturalness and light Higgsinos, Indian J. Phys.88 (2014) 991 [arXiv:1404.1386] [INSPIRE].
M.R. Buckley, A. Monteux and D. Shih, Precision corrections to fine tuning in SUSY, JHEP06 (2017) 103 [arXiv:1611.05873] [INSPIRE].
J.H. Kotecha and P.M. Djuric, Gaussian particle filtering, IEEE Trans. Sign. Proc.51 (2003) 2592.
B.C. Allanach, SOFTSUSY: a program for calculating supersymmetric spectra, Comput. Phys. Commun.143 (2002) 305 [hep-ph/0104145] [INSPIRE].
H. Bahl and W. Hollik, Precise prediction for the light MSSM Higgs boson mass combining effective field theory and fixed-order calculations, Eur. Phys. J.C 76 (2016) 499 [arXiv:1608.01880] [INSPIRE].
T. Hahn et al., High-precision predictions for the light CP-even Higgs boson mass of the minimal supersymmetric standard model, Phys. Rev. Lett.112 (2014) 141801 [arXiv:1312.4937] [INSPIRE].
M. Frank et al., The Higgs boson masses and mixings of the complex MSSM in the Feynman-diagrammatic approach, JHEP02 (2007) 047 [hep-ph/0611326] [INSPIRE].
G. Degrassi et al., Towards high precision predictions for the MSSM Higgs sector, Eur. Phys. J.C 28 (2003) 133 [hep-ph/0212020] [INSPIRE].
S. Heinemeyer, W. Hollik and G. Weiglein, FeynHiggs: a program for the calculation of the masses of the neutral CP even Higgs bosons in the MSSM, Comput. Phys. Commun.124 (2000) 76 [hep-ph/9812320] [INSPIRE].
A. Djouadi, M.M. Muhlleitner and M. Spira, Decays of supersymmetric particles: The Program SUSY-HIT (SUspect-SdecaY-HDECAY-InTerface), Acta Phys. Polon.B 38 (2007) 635 [hep-ph/0609292] [INSPIRE].
D. Barducci et al., Collider limits on new physics within MicrOMEGAs_4.3, Comput. Phys. Commun.222 (2018) 327 [arXiv:1606.03834] [INSPIRE].
G. Bélanger et al., MicrOMEGAs5.0: Freeze-in, Comput. Phys. Commun.231 (2018) 173 [arXiv:1801.03509] [INSPIRE].
The GAMBIT Dark Matter Workgroup collaboration, DarkBit: a GAMBIT module for computing dark matter observables and likelihoods, Eur. Phys. J.C 77 (2017) 831 [arXiv:1705.07920] [INSPIRE].
XENON collaboration, Dark matter search results from a one ton-year exposure of XENON1T, Phys. Rev. Lett.121 (2018) 111302 [arXiv:1805.12562] [INSPIRE].
XENON collaboration, Constraining the spin-dependent WIMP-nucleon cross sections with XENON1T, Phys. Rev. Lett.122 (2019) 141301 [arXiv:1902.03234] [INSPIRE].
PICO collaboration, Dark matter search results from the PICO-60 C3F8bubble chamber, Phys. Rev. Lett.118 (2017) 251301 [arXiv:1702.07666] [INSPIRE].
PICO collaboration, Improved dark matter search results from PICO-2L Run 2, Phys. Rev.D 93 (2016) 061101 [arXiv:1601.03729] [INSPIRE].
PICO collaboration, Dark matter search results from the complete exposure of the PICO-60 C3F8bubble chamber, Phys. Rev.D 100 (2019) 022001 [arXiv:1902.04031] [INSPIRE].
PandaX-II collaboration, Dark matter results from first 98.7 days of data from the PandaX-II experiment, Phys. Rev. Lett.117 (2016) 121303 [arXiv:1607.07400] [INSPIRE].
PandaX-II collaboration, PandaX-II constraints on spin-dependent WIMP-nucleon effective interactions, Phys. Lett.B 792 (2019) 193 [arXiv:1807.01936] [INSPIRE].
Fermi-LAT collaboration, Searching for dark matter annihilation from Milky Way dwarf spheroidal galaxies with six years of Fermi Large Area Telescope data, Phys. Rev. Lett.115 (2015) 231301 [arXiv:1503.02641] [INSPIRE].
Planck collaboration, Planck 2018 results. VI. Cosmological parameters, arXiv:1807.06209 [INSPIRE].
S. Caron et al., The BSM-AI project: SUSY-AI–generalizing LHC limits on supersymmetry with machine learning, Eur. Phys. J.C 77 (2017) 257 [arXiv:1605.02797] [INSPIRE].
A. Barr and J. Liu, Analysing parameter space correlations of recent 13 TeV gluino and squark searches in the pMSSM, Eur. Phys. J.C 77 (2017) 202 [arXiv:1608.05379] [INSPIRE].
F. Ambrogi et al., SModelS v1.2: long-lived particles, combination of signal regions and other novelties, arXiv:1811.10624 [INSPIRE].
J. Heisig, S. Kraml and A. Lessa, Constraining new physics with searches for long-lived particles: Implementation into SModelS, Phys. Lett.B 788 (2019) 87 [arXiv:1808.05229] [INSPIRE].
J. Dutta, S. Kraml, A. Lessa and W. Waltenberger, SModelS extension with the CMS supersymmetry search results from Run 2, LHEP1 (2018) 5 [arXiv:1803.02204] [INSPIRE].
F. Ambrogi et al., SModelS v1.1 user manual: Improving simplified model constraints with efficiency maps, Comput. Phys. Commun.227 (2018) 72 [arXiv:1701.06586] [INSPIRE].
S. Kraml et al., SModelS: a tool for interpreting simplified-model results from the LHC and its application to supersymmetry, Eur. Phys. J.C 74 (2014) 2868 [arXiv:1312.4175] [INSPIRE].
P. Bechtle et al., Applying exclusion likelihoods from LHC searches to extended Higgs sectors, Eur. Phys. J.C 75 (2015) 421 [arXiv:1507.06706] [INSPIRE].
P. Bechtle et al., HiggsBounds-4: improved tests of extended Higgs sectors against exclusion bounds from LEP, the Tevatron and the LHC, Eur. Phys. J.C 74 (2014) 2693 [arXiv:1311.0055] [INSPIRE].
P. Bechtle et al., Recent developments in HiggsBounds and a preview of HiggsSignals, PoS (CHARGED2012)024 [arXiv:1301.2345] [INSPIRE].
P. Bechtle et al., HiggsBounds 2.0.0: confronting neutral and charged Higgs sector predictions with exclusion bounds from LEP and the Tevatron, Comput. Phys. Commun.182 (2011) 2605 [arXiv:1102.1898] [INSPIRE].
P. Bechtle et al., HiggsBounds: confronting arbitrary Higgs sectors with exclusion bounds from LEP and the Tevatron, Comput. Phys. Commun.181 (2010) 138 [arXiv:0811.4169] [INSPIRE].
O. Stål and T. Stefaniak, Constraining extended Higgs sectors with HiggsSignals, PoS(EPS-HEP2013)314 [arXiv:1310.4039] [INSPIRE].
P. Bechtle et al., Probing the Standard Model with Higgs signal rates from the Tevatron, the LHC and a future ILC, JHEP11 (2014) 039 [arXiv:1403.1582] [INSPIRE].
P. Bechtle et al., HiggsSignals: confronting arbitrary Higgs sectors with measurements at the Tevatron and the LHC, Eur. Phys. J.C 74 (2014) 2711 [arXiv:1305.1933] [INSPIRE].
J.E. Camargo-Molina, B. O’Leary, W. Porod and F. Staub, Vevacious: a tool for finding the global minima of one-loop effective potentials with many scalars, Eur. Phys. J.C 73 (2013) 2588 [arXiv:1307.1477] [INSPIRE].
T.L. Lee, T.Y. Li, and C.H. Tsai, Hom4ps-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method, Computing83 (2008) 109.
C.L. Wainwright, CosmoTransitions: computing cosmological phase transition temperatures and bubble profiles with multiple fields, Comput. Phys. Commun.183 (2012) 2006 [arXiv:1109.4189] [INSPIRE].
LEP2 SUSY Working Group, ALEPH, DELPHI, L3 and OPAL experiments, http://lepsusy.web.cern.ch/lepsusy.
M. Carena, A. de Gouvêa, A. Freitas and M. Schmitt, Invisible Z boson decays at e+e−colliders, Phys. Rev.D 68 (2003) 113007 [hep-ph/0308053] [INSPIRE].
M. Davier, A. Hoecker, B. Malaescu and Z. Zhang, Reevaluation of the hadronic contributions to the muon g − 2 and to αMZ, Eur. Phys. J.C 71 (2011) 1515 [Erratum ibid.C 72 (2012) 1874] [arXiv:1010.4180] [INSPIRE].
LHCb collaboration, Measurement of the \( {D}_s^0 \)→ μ+μ−branching fraction and search for B0→ μ+μ−decays at the LHCb experiment, Phys. Rev. Lett.111 (2013) 101805 [arXiv:1307.5024] [INSPIRE].
M. Misiak et al., Updated NNLO QCD predictions for the weak radiative B-meson decays, Phys. Rev. Lett.114 (2015) 221801 [arXiv:1503.01789] [INSPIRE].
M. Czakon et al., The (Q7, Q1,2 ) contribution to \( \overline{B} \)→ Xsγ at 𝒪 (\( {\alpha}_s^2 \)), JHEP04 (2015) 168 [arXiv:1503.01791] [INSPIRE].
B. Kronenbitter et al., Measurement of the branching fraction of B+→ τ+ντdecays with the semileptonic tagging method, Phys. Rev.D 92 (2015) 051102 [arXiv:1503.05613].
Belle collaboration, Measurement of B(\( {D}_s^{+} \)→ μν), Phys. Rev. Lett.100 (2008) 241801 [arXiv:0709.1340] [INSPIRE].
CLEO collaboration, Improved measurement of absolute branching fraction of \( {D}_s^{+} \)→ τ+ντ, Phys. Rev.D 79 (2009) 052002 [arXiv:0901.1147] [INSPIRE].
C. Strege et al., Profile likelihood maps of a 15-dimensional MSSM, JHEP09 (2014) 081 [arXiv:1405.0622] [INSPIRE].
X. Cid Vidal et al., Report from working group 3, CERN Yellow Rep. Monogr.7 (2019) 585 [arXiv:1812.07831] [INSPIRE].
CLICdp, CLIC collaboration, The Compact Linear Collider (CLIC) — 2018 Summary Report, CERN Yellow Rep. Monogr.1802 (2018) 1 [arXiv:1812.06018] [INSPIRE].
LZ collaboration, LUX-ZEPLIN (LZ) conceptual design report, arXiv:1509.02910 [INSPIRE].
DARWIN collaboration, DARWIN: towards the ultimate dark matter detector, JCAP11 (2016) 017 [arXiv:1606.07001] [INSPIRE].
M. Schumann, L. Baudis, L. Bütikofer, A. Kish and M. Selvi, Dark matter sensitivity of multi-ton liquid xenon detectors, JCAP10 (2015) 016 [arXiv:1506.08309] [INSPIRE].
C.E. Aalseth et al., DarkSide-20k: a 20 tonne two-phase LAr TPC for direct dark matter detection at LNGS, Eur. Phys. J. Plus133 (2018) 131 [arXiv:1707.08145] [INSPIRE].
S. Fallows, Toward a next-generation dark matter search with the PICO-40L bubble chamber, in the proceedings of the Topics in Astroparticle and Underground Physics (TAUP 2017), July 24–28, Sudbury, Canada (2017).
S.P. Martin, Compressed supersymmetry and natural neutralino dark matter from top squark-mediated annihilation to top quarks, Phys. Rev.D 75 (2007) 115005 [hep-ph/0703097] [INSPIRE].
S. Antusch et al., Naturalness of the non-Universal MSSM in the light of the recent Higgs results, JHEP01 (2013) 187 [arXiv:1207.7236] [INSPIRE].
ATLAS collaboration, Search for chargino-neutralino production using recursive jigsaw reconstruction in final states with two or three charged leptons in proton-proton collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Phys. Rev.D 98 (2018) 092012 [arXiv:1806.02293] [INSPIRE].
CMS collaboration, Searches for pair production of charginos and top squarks in final states with two oppositely charged leptons in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP11 (2018) 079 [arXiv:1807.07799] [INSPIRE].
CMS collaboration, Search for top squarks decaying via four-body or chargino-mediated modes in single-lepton final states in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP09 (2018) 065 [arXiv:1805.05784] [INSPIRE].
ATLAS collaboration, Search for a scalar partner of the top quark in the jets plus missing transverse momentum final state at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, JHEP12 (2017) 085 [arXiv:1709.04183] [INSPIRE].
CMS collaboration, Search for natural and split supersymmetry in proton-proton collisions at \( \sqrt{s} \) = 13 TeV in final states with jets and missing transverse momentum, JHEP05 (2018) 025 [arXiv:1802.02110] [INSPIRE].
ATLAS collaboration, Search for supersymmetry in events with b-tagged jets and missing transverse momentum in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, JHEP11 (2017) 195 [arXiv:1708.09266] [INSPIRE].
CMS collaboration, Search for new physics in events with two soft oppositely charged leptons and missing transverse momentum in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Lett.B 782 (2018) 440 [arXiv:1801.01846] [INSPIRE].
ATLAS collaboration, Search for electroweak production of supersymmetric states in scenarios with compressed mass spectra at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Phys. Rev.D 97 (2018) 052010 [arXiv:1712.08119] [INSPIRE].
ATLAS collaboration, Search for top-squark pair production in final states with one lepton, jets and missing transverse momentum using 36 fb−1of \( \sqrt{s} \) = 13 TeV pp collision data with the ATLAS detector, JHEP06 (2018) 108 [arXiv:1711.11520] [INSPIRE].
CMS collaboration, Search for top squarks and dark matter particles in opposite-charge dilepton final states at \( \sqrt{s} \) = 13 TeV, Phys. Rev.D 97 (2018) 032009 [arXiv:1711.00752] [INSPIRE].
H. Baer et al., What hadron collider is required to discover or falsify natural supersymmetry?, Phys. Lett.B 774 (2017) 451 [arXiv:1702.06588] [INSPIRE].
H. Baer et al., LHC luminosity and energy upgrades confront natural supersymmetry models, Phys. Rev.D 98 (2018) 075010 [arXiv:1808.04844] [INSPIRE].
M. van Beekveld, W. Beenakker, S. Caron and R. Ruiz de Austri, The case for 100 GeV bino dark matter: A dedicated LHC tri-lepton search, JHEP04 (2016) 154 [arXiv:1602.00590] [INSPIRE].
K.J. Bae, H. Baer, V. Barger and D. Sengupta, Revisiting the SUSY μ problem and its solutions in the LHC era, Phys. Rev.D 99 (2019) 115027 [arXiv:1902.10748] [INSPIRE].
G.G. Ross, K. Schmidt-Hoberg and F. Staub, On the MSSM Higgsino mass and fine tuning, Phys. Lett.B 759 (2016) 110 [arXiv:1603.09347] [INSPIRE].
GAMBIT collaboration, A global fit of the MSSM with GAMBIT, Eur. Phys. J.C 77 (2017) 879 [arXiv:1705.07917] [INSPIRE].
GAMBIT collaboration, Combined collider constraints on neutralinos and charginos, Eur. Phys. J.C 79 (2019) 395 [arXiv:1809.02097] [INSPIRE].
ATLAS collaboration, Search for electroweak production of supersymmetric particles in final states with two or three leptons at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Eur. Phys. J.C 78 (2018) 995 [arXiv:1803.02762] [INSPIRE].
ATLAS collaboration, Search for supersymmetry in events with four or more leptons in \( \sqrt{s} \) = 13 TeV pp collisions with ATLAS, Phys. Rev.D 98 (2018) 032009 [arXiv:1804.03602] [INSPIRE].
CMS collaboration, Search for new phenomena in final states with two opposite-charge, same-flavor leptons, jets and missing transverse momentum in pp collisions at \( \sqrt{s} \) = 13 TeV, JHEP03 (2018) 076 [arXiv:1709.08908] [INSPIRE].
CMS collaboration, Combined search for electroweak production of charginos and neutralinos in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP03 (2018) 160 [arXiv:1801.03957] [INSPIRE].
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: 1906.10706
Rights and permissions
This article is published under an open access license. Please check the 'Copyright Information' section either on this page or in the PDF for details of this license and what re-use is permitted. If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and re-use information, please contact the Rights and Permissions team.
About this article
Cite this article
van Beekveld, M., Caron, S. & de Austri, R.R. The current status of fine-tuning in supersymmetry. J. High Energ. Phys. 2020, 147 (2020). https://doi.org/10.1007/JHEP01(2020)147
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP01(2020)147