Natural SUSY endures

A bstractThe first 1 fb−1 of LHC searches have set impressive limits on new colored particles decaying to missing energy. We address the implication of these searches for naturalness in supersymmetry (SUSY). General bottom-up considerations of natural electroweak symmetry breaking show that higgsinos, stops, and the gluino should not be too far above the weak scale. The rest of the spectrum, including the squarks of the first two generations, can be heavier and beyond the current LHC reach. We have used collider simulations to determine the limits that all of the 1 fb−1 searches pose on higgsinos, stops, and the gluino. We find that stops and the left-handed sbottom are starting to be constrained and must be heavier than about 200–300 GeV when decaying to higgsinos. The gluino must be heavier than about 600–800 GeV when it decays to stops and sbottoms. While these findings point toward scenarios with a lighter third generation split from the other squarks, we do find that moderately-tuned regions remain, where the gluino is just above 1 TeV and all the squarks are degenerate and light. Among all the searches, jets plus missing energy and same-sign dileptons often provide the most powerful probes of natural SUSY. Overall, our results indicate that natural SUSY has survived the first 1 fb−1 of data. The LHC is now on the brink of exploring the most interesting region of SUSY parameter space.

[1]  Michael Strevens.  A Closer Look at the , 1995 .

[2]  M. Battaglia,et al.  Implications of LHC searches on SUSY particle spectra , 2011, 1110.3726.

[3]  D. Colling,et al.  Implications of initial LHC searches for supersymmetry , 2011, 1102.4585.

[4]  J. Kaplan,et al.  Heavy flavor simplified models at the LHC , 2011, 1110.6443.

[5]  A. Drutskoy,et al.  The impact of SuperB on flavour physics , 2011, 1109.5028.

[6]  S. Mrenna.  A Closer Look at the 2011 cMSSM Results from CMS , 2011, 1110.4078.

[7]  D. Straub,et al.  B-decay CP-asymmetries in SUSY with a U(2)3 flavour symmetry , 2011, 1108.5125.

[8]  Y. Nomura,et al.  Supersymmetry, Naturalness, and Signatures at the LHC , 2006, hep-ph/0602096.

[9]  R. R. Austri,et al.  Bayesian approach and naturalness in MSSM analyses for the LHC , 2008, 0812.0536.

[10]  D. Shih,et al.  Light stop NLSPs at the Tevatron and LHC , 2011, 1106.0030.

[11]  S. Kraml,et al.  Fine-tuning implications for complementary dark matter and LHC SUSY searches , 2011, 1101.4664.

[12]  L. Hall,et al.  CP Violation in the Minimal N=1 Supergravity Theory , 1985 .

[13]  C. Lester,et al.  Natural priors, CMSSM fits and LHC weather forecasts , 2007, 0705.0487.

[14]  B. Allanach.  Impact of CMS Multi-jets and Missing Energy Search on CMSSM Fits , 2011, 1102.3149.

[15]  Riccardo Barbieri,et al.  S-particles at their naturalness limits , 2009, 0906.4546.

[16]  The MSSM fine tuning problem: a way out , 2003, hep-ph/0310137.

[17]  P. Lodone.  Naturalness bounds in extensions of the MSSM without a light Higgs boson , 2010, 1004.1271.

[18]  C. Csáki,et al.  New approach to the micro--Bmicro problem of gauge-mediated supersymmetry breaking. , 2009, Physical review letters.

[19]  M. M. Muhlleitner,et al.  Decays of Supersymmetric Particles --- the Program SUSY-HIT , 2006 .

[20]  Squark and Gluino Production at Hadron Colliders , 1996, hep-ph/9610490.

[21]  Tatsuo C. Kobayashi,et al.  Fine tuning in general gauge mediation , 2009, 0910.3477.

[22]  J. Zupan,et al.  Hidden Higgs decaying to lepton jets , 2010, 1002.2952.

[23]  Ernest Ma,et al.  TWO-BODY RADIATIVE GLUINO DECAYS , 1988 .

[24]  J. T. Childers,et al.  Search for new phenomena in tt events with large missing transverse momentum in proton-proton collisions at sqrt[s] = 7 TeV with the ATLAS detector. , 2012, Physical review letters.

[25]  A Supersymmetry Primer , 1997, hep-ph/9709356.

[26]  Sujeet Akula,et al.  Interpreting the first CMS and ATLAS SUSY results , 2011, 1103.1197.

[27]  J. Hewett,et al.  Supersymmetry without prejudice at the LHC , 2010, 1009.2539.

[28]  Y. Nomura,et al.  Supersymmetric fine-tuning problem and TeV-scale exotic scalars , 2005, hep-ph/0504246.

[29]  Georges Aad,et al.  Search for stable hadronising squarks and gluinos with the ATLAS experiment , 2011 .

[30]  A. Strumia,et al.  Natural ranges of supersymmetric signals , 1998, hep-ph/9811386.

[31]  D. Pappadopulo,et al.  An alternative NMSSM phenomenology with manifest perturbative unification , 2007, 0712.2903.

[32]  K. Sakurai,et al.  Constraint from recent ATLAS results on non-universal sfermion mass models and naturalness , 2011, 1106.3794.

[33]  S. Heinemeyer,et al.  Towards high-precision predictions for the MSSM Higgs sector , 2002, hep-ph/0212020.

[34]  L. Hall,et al.  Predictions from a U(2) flavour symmetry in supersymmetric theories , 1995, hep-ph/9512388.

[35]  Y. Grossman,et al.  Future Prospects of B Physics , 2009, 0904.4262.

[36]  Atlas Collaboration.  Search for supersymmetry in final states with jets, missing transverse momentum and one isolated lepton in sqrt{s} = 7 TeV pp collisions using 1 fb-1 of ATLAS data , 2011, 1109.6606.

[37]  P. Schuster,et al.  Simplified models for a first characterization of new physics at the LHC , 2008, 0810.3921.

[38]  A. Buras,et al.  B, D and K decays , 2008, 0801.1833.

[39]  R. Sundrum,et al.  SUSY, the Third Generation and the LHC , 2011, 1110.6670.

[40]  Jonathan L. Feng,et al.  B ′ s with direct decays: Tevatron and LHC discovery prospects in the b b ¯ + E̸ T channel , 2011, 1107.2919.

[41]  G. Arutyunov,et al.  Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model , 2009, 0903.0141.

[42]  M. Cacciari,et al.  Dispelling the N3 myth for the kt jet-finder , 2005, hep-ph/0512210.

[43]  Pavel Strachota,et al.  Searches for supersymmetry with the ATLAS detector using final states with two leptons and missing transverse momentum in A. Buras.  MINIMAL FLAVOUR VIOLATION AND BEYOND: TOWARDS A FLAVOUR CODE FOR SHORT DISTANCE DYNAMICS , 2010, 1012.1447.

[45]  Riccardo Barbieri,et al.  Constraining supergravity models from gluino production , 1988 .

[46]  The more Minimal Supersymmetric Standard Model , 1996, hep-ph/9607394.

[47]  D. Green,et al.  (De)constructing a natural and flavorful supersymmetric Standard Model , 2011, 1103.3708.

[48]  David E. Kaplan,et al.  The Higgs mass bound in gauge extensions of the minimal supersymmetric standard model , 2003 .

[49]  Q. Shafi,et al.  Searching for NLSP sbottom at the LHC , 2011, 1104.0251.

[50]  K. Cranmer,et al.  RECAST — extending the impact of existing analyses , 2010, 1010.2506.

[51]  J. T. Childers,et al.  Search for new phenomena in final states with large jet multiplicities and missing transverse momentum using sqrt(s)=7 TeV pp collisions with the ATLAS detector , 2011, 1110.2299.

[52]  Y. Sugawara,et al.  N=(0,4) Quiver $SCFT_{2}$ and Supergravity on $AdS_{3} \times S^{2}$ , 1999 .

[53]  P. Zerwas,et al.  Stop production at hadron colliders , 1997, hep-ph/9710451.

[54]  Q. Shafi,et al.  LHC constraints on NLSP gluino and dark matter neutralino in Yukawa unified models , 2011, 1107.2573.

[55]  Andy Buckley,et al.  Rivet user manual , 2010, Comput. Phys. Commun..

[56]  Scott D. Thomas,et al.  Higgs physics as a window beyond the MSSM , 2007, 0707.0005.

[57]  Atlas Collaboration.  Search for anomalous production of prompt like-sign muon pairs and constraints on physics beyond the Standard Model with the ATLAS detector , 2012, 1201.1091.

[58]  A. Holzner.  Search for the standard model Higgs boson at LEP , 2003 .

[59]  Patrick J. Fox,et al.  Dirac gaugino masses and supersoft supersymmetry breaking , 2002, hep-ph/0206096.

[60]  D. Pappadopulo,et al.  A non standard supersymmetric spectrum , 2010, 1004.2256.

[61]  G. Isidori,et al.  Minimal flavour violation: an effective field theory approach , 2002 .

[62]  T. Experiment.  Search for stable hadronising squarks and gluinos with the ATLAS experiment at the LHC , 2011, 1103.1984.

[63]  B. Harling,et al.  A natural little hierarchy for RS from accidental SUSY , 2011, 1104.3171.

[64]  A. Djouadi.  The anatomy of electroweak symmetry breaking Tome II: The Higgs bosons in the Minimal Supersymmetric Model , 2005, hep-ph/0503173.

[65]  A. A. Ocampo Rios,et al.  Search for heavy stable charged particles in pp collisions at $ \sqrt {s} = 7\;{\text{TeV}} $ , 2011 .

[66]  Georges Aad,et al.  Search for supersymmetry in final states with jets, missing transverse mome , 2012 .

[67]  Search for new physics with same-sign isolated dilepton events with jets and missing energy , 2011 .

[68]  Search for pair production of a fourth-generation t ′ quark in the lepton-plus-jets channel with the CMS experiment , 2022 .

[69]  The standard model partly supersymmetric , 2003, hep-ph/0302001.

[70]  B. Allanach,et al.  Interpreting a 1 fb−1 ATLAS search in the minimal anomaly mediated supersymmetry breaking model , 2011, 1110.1119.

[71]  J. Lykken,et al.  Interpreting LHC SUSY searches in the phenomenological MSSM , 2011, 1109.5119.

[72]  D. Miller,et al.  New measure of fine tuning , 2007, 0705.2241.

[73]  A. Roeck,et al.  Supersymmetry in light of 1/fb of LHC data , 2011, The European Physical Journal C.

[74]  I-A Melzer-Pellmann,et al.  Search for Supersymmetry at the LHC in Events with Jets and Missing Transverse Energy , 2011, 1109.2352.

[75]  Marc Besancon,et al.  R-Parity-violating supersymmetry , 2005 .

[76]  Y. Nomura,et al.  μB-driven electroweak symmetry breaking , 2005, hep-ph/0509244.

[77]  J. Wacker,et al.  D-terms, unification, and the Higgs mass , 2004, hep-ph/0409127.

[78]  G. Ross,et al.  Fine tuning as an indication of physics beyond the MSSM , 2009, 0903.1115.

[79]  C. Lester,et al.  The impact of the ATLAS zero-lepton, jets and missing momentum search on a CMSSM fit , 2011, 1103.0969.

[80]  S. Sekmen,et al.  Effective supersymmetry at the LHC , 2010, 1007.3897.

[81]  Y. Nomura,et al.  Minimally Fine-Tuned Supersymmetric Standard Models with Intermediate-Scale Supersymmetry Breaking , 2005, hep-ph/0509243.

[82]  H. Baer,et al.  Hidden SUSY at the LHC: the light higgsino-world scenario and the role of a lepton collider , 2011, 1107.5581.

[83]  Georges Aad,et al.  Search for heavy long-lived charged particles with the ATLAS detector in pp collisions at root s=7 TeV , 2011 .

[84]  Giovanni Calderini,et al.  Search for squarks and gluinos using final states with jets and missing transverse momentum with the ATLAS detector in $\sqrt{s}=7$ TeV proton-proton collisions , 2011 .

[85]  Yasunori Nomura,et al.  A Solution to the Supersymmetric Fine-Tuning Problem within theMSSM , 2005 .

[86]  R. Sundrum.  SUSY splits, but then returns , 2009, 0909.5430.

[87]  D. Straub,et al.  CP violation in supersymmetry with Effective Minimal Flavour Violation , 2011, 1102.0726.

[88]  S. P. Martin,et al.  Large Hadron Collider reach for supersymmetric models with compressed mass spectra , 2011, 1105.4304.

[89]  One-loop analysis of the electroweak breaking in supersymmetric models and the fine-tuning problem , 1993, hep-ph/9303291.

[90]  C. Velde,et al.  Search for Supersymmetry in pp Collisions at 7 TeV in Events with Jets and Missing Transverse Energy , 2011 .

[91]  J. Wacker,et al.  Searching for directly decaying gluinos at the Tevatron , 2008, 0803.0019.

[92]  S. Mrenna,et al.  Pythia 6.3 physics and manual , 2003, hep-ph/0308153.

[93]  A. Strumia.  The fine-tuning price of the early LHC , 2011, 1101.2195.

[94]  Tim Stelzer,et al.  MadGraph/MadEvent v4: The New Web Generation , 2007, 0706.2334.

[95]  H. Haber,et al.  Approximating the radiatively corrected Higgs mass in the minimal supersymmetric model , 1996, hep-ph/9609331.

[96]  J. Gunion,et al.  Nonstandard Higgs Boson Decays , 2008, 0801.4554.

[97]  Focus points and naturalness in supersymmetry , 1999, hep-ph/9909334.

[98]  Naturalness priors and fits to the constrained minimal supersymmetric Standard Model , 2006, hep-ph/0601089.

[99]  JiJi Fan,et al.  Stealth supersymmetry , 2011, 1105.5135.

[100]  J. Chou,et al.  Search for Anomalous Production of Multilepton Events and R-Parity-Violating Supersymmetry in √s = 7 TeV pp Collisions , 2012 .

[101]  A. Strumia,et al.  The `LEP paradox' , 2000, hep-ph/0007265.

[102]  Y. Nomura,et al.  A minimally fine-tuned supersymmetric standard model , 2005, hep-ph/0504095.

[103]  M. L. Ferrer,et al.  Searches for supersymmetry with the ATLAS detector using final states with two leptons and missing transverse momentum in √s = 7 TeV source proton-proton collisions , 2011, 1110.6189.

[104]  M. Carena,et al.  Analytical expressions for radiatively corrected Higgs masses and couplings in the MSSM , 1995 .

[105]  Riccardo Barbieri,et al.  Supersymmetry without a Light Higgs Boson , 2006, hep-ph/0607332.

[106]  Johan Alwall,et al.  Model-independent jets plus missing energy searches , 2008, 0809.3264.

[107]  Kai Schmidt-Hoberg,et al.  The fine-tuning of the generalised NMSSM , 2011, 1108.1284.

[108]  R. Barbieri,et al.  Upper Bounds on Supersymmetric Particle Masses , 1988 .

[109]  M. Datta,et al.  The Discovery Potential of a Super B Factory, Proceedings of the 2003 SLAC Workshops , 2005, hep-ph/0503261.

[110]  G. Anderson,et al.  Measures of fine tuning , 1994, hep-ph/9409419.

[111]  M. Dine.  Some Issues in Gauge Mediation , 1997, hep-ph/9707413.

[112]  Y. Shimizu,et al.  Natural supersymmetry at the LHC , 2010, 1010.0692.

[113]  J. Evans,et al.  2 Simple Higgs Messenger Model , 2011 .

[114]  R. Rattazzi,et al.  Living Dangerously with Low-Energy Supersymmetry , 2006, hep-ph/0606105.

[115]  Cyril Hugonie,et al.  The Next-to-Minimal Supersymmetric Standard Model , 2009, 0910.1785.

[116]  S. Dimopoulos,et al.  Naturalness constraints in supersymmetric theories with non-universal soft terms , 1995, hep-ph/9507282.

[117]  A. Simone,et al.  Lopsided gauge mediation , 2011, 1103.6033.

[118]  C. Csáki,et al.  Buried Higgs boson , 2009, 0906.3026.

[119]  Search for a Heavy Bottom-like Quark in 1 . 14 fb − 1 of pp Collisions at √ s = 7 TeV , 2022 .

[120]  A. Read.  Modified frequentist analysis of search results (The CL(s) method) , 2000 .

[121]  A Collider Signature of the Supersymmetric Golden Region , 2007, hep-ph/0702038.

[122]  D. Shih,et al.  The status of GMSB after 1/fb at the LHC , 2011, Journal of High Energy Physics.

[123]  A. Barr,et al.  Discovery reach for generic supersymmetry at the LHC: MT2 versus missing transverse momentum selections for pMSSM searches , 2011, 1105.1024.

[124]  Jonathan L. Feng,et al.  Dark matter-motivated searches for exotic fourth-generation mirror quarks in Tevatron and early LHC data , 2010, 1002.3366.

[125]  Search for Stopped Heavy Stable Charged Particles in pp collisions at √ s = 7 TeV The CMS Collaboration , 2022 .

[126]  Hall,et al.  Weak-scale effective supersymmetry. , 1990, Physical review letters.

[127]  A. Datta,et al.  Low mass neutralino dark matter in minimal supergravity and more general models in the light of LHC data , 2011, 1107.1997.

[128]  D. Straub,et al.  U(2) and minimal flavour violation in supersymmetry , 2011, 1105.2296.

[129]  D. Horton,et al.  Naturalness and focus points with non-universal gaugino masses , 2009, 0908.0857.

[130]  Michael Spira,et al.  Squark and gluino production at hadron colliders , 1997 .

[131]  Multi-TeV scalars are natural in minimal supergravity , 1999, Physical review letters.

[132]  P. Meade,et al.  Top partners at the CERN LHC: Spin and mass measurement , 2006, hep-ph/0601124.

[133]  D. Sprenger,et al.  Search for new physics in events with opposite-sign dileptons and missing transverse energy with the CMS experiment , 2012, 1201.5017.

[134]  Riccardo Barbieri,et al.  About the fine-tuning price of LEP , 1998, hep-ph/9801353.

[135]  Bruce Yabsley,et al.  Search for squarks and gluinos using final states with jets and missing transverse momentum with the ATLAS detector in $\sqrt{s}=7$ TeV proton-proton collisions , 2011 .

[136]  Atlas Collaboration.  Search for New Phenomena in ttbar Events with Large Missing Transverse Momentum in Proton-Proton Collisions at sqrt(s) = 7 TeV with the ATLAS Detector , 2011, 1109.4725.

[137]  F. Maltoni,et al.  MadGraph 5: going beyond , 2011, 1106.0522.

[138]  Searches for Higgs bosons : Preliminary combined results from the four LEP experiments at √ s ≈ 189 GeV ALEPH , DELPHI , L 3 and OPAL Collaborations The LEP working group for Higgs boson searches , 2022 .