Mostly Supersymmetry
Total Page:16
File Type:pdf, Size:1020Kb
Physics Beyond Standard Model (mostly supersymmetry) Asia-Europe-Pacific High Energy Physics School Chinese Academy of Sciences, Beijing Lecture 3 , October 24, 2016 Sudhir Vempati, Centre for High Energy Physics, Indian Institute of Science Bangalore [email protected] 1 Outline 1) Three paths to supersymmetry 2) LHC Results 3) Flavour Constraints 4) Dark Matter Constraints 5) Escaping LHC and other search strategies 6) Famous SUSY breaking models and their status 7) A small introduction to Extra Dimensions 2 Other advantages of SUSY • Its calculable and thus in principle, predictable. It has nice Quantum field theory properties (non-renormalisable theorems etc) • Dark Matter candidate if R-parity is conserved. • Gauge coupling unification ( GUTs with neutrino masses and mixing ) • Lightest Higgs boson can be SM -like in regions of parameter space. Then, where can we find it ? 3 Model of SUSY lecture 2 Flavour and LHC DM CP violation 4 Some SUSY CODES Spectrum Generators Dark Matter SPHENO ISADM SOFTSUSY SuperISoRelic ISASUSY MicroOmegas SUSPECT Dark SUSY SUSEFLAV FLEXISUSY Flavour Physics Collider Physics ISAJET SuperIso Prospino SUSYFLAVOR Higlu SuperLFV SUSHI ISABSMU MADGRAPH SUSEFLAV CHECKMATE 5 http://www.hepforge.org SuSeFLAV SUpersymmetric SEesaw and Flavour Violation Our Webpage Published in Computer Physics Communications 184 (2013) 899 6 Searches at LHC (1) squarks and gluinos (2) Direct Production of stops and Bottoms (3) Direct Electroweak production Searches at LHC Coloured particles are produced more copiously at the LHC More Examples So squarks and gluinos have the strongest constraints • These come from S. Martin’s SUSY primer - a good resource http://arxiv.org/pdf/hep-ph/9709356v4 8 Some cascade decays of gluinos jet jet lepton jet qqjet qqff missing transverse E g˜ q˜R N˜1 g˜ q˜L N˜2 f˜ N˜1 (a) (b) ′ ′ ′ ′ q q f f q q N˜1 f g˜ q˜L C˜1 f˜ N˜1 g˜ q˜L C˜1 W f (c) (d) Figure 9.2: Some1 HEP: of the where many possibledo we stand? examples of gluino cascade decays ending with a neutralino LSP in the final state. The squarks appearing in these diagramsmaybeeitheron-shelloroff-shell, depending on the mass spectrum of the theory. t 9.3 Squark decays 0 P2 ˜χ 1 If the decay q qg is kinematically allowed, it will usually dominate, becausethequark-squark-gluino → vertexsample in Figure stop 6.3a has QCD strength. Otherwise, the squarks˜t can decay into a quark plus neutralino − 0 or chargino: !q q!Ni or q′Ci.ThedirectdecaytotheLSPq qN1 is always˜χ kinematically˜χ favored, decays→ → 1 and for right-handed squarks it can dominateP1 because N1 is˜t∗ mostly bino. However, the left-handed ! ! ! squarks may strongly! prefer to decay into heavier charginos or! neutralinos instead,W for− example q qN2 ! → or q′C1,becausetherelevantsquark-quark-winocouplingsaremuchbiggerthanthesquark-quark-bino couplings. Squark decays to higgsino-like charginos and neutralinos are less important,¯b except! in the! cases! of stops and sbottoms, which have sizable Yukawa couplings. The gluino, chargino or neutralino resulting from theFig. squark 1.7: Sketch decay will of a in possible turn decay, T2tb and event. so on, In thisuntil case a final both state possible containing decaysN areis shown:reached. the upper 0 0 1 (lower) branch outlines the ˜t t χ (˜t⇤ b¯ χ− b¯ W −χ )decay. This results in numerous and complicated decay chain! possib9 ilities! called! cascade decays [227]. ! It is possible that the decays t1 tg and t1 tN1 are both kinematically forbidden. If so, then the → → e e e lighter top squarkdesigned. may decay The only search into presented charginos, in by thist1 thesisbC1 stems,orbyathree-bodydecay from [49], but aims tot1 be morebW N sensitive1. in ! → → If even this decaythe is kinematically T2tb model,! resulting closed,! then in! a it less has dependent only the flavor-suppressed sensitivity on decay(˜t t toχ0 a). charm quark, ! ! t1 cN1,andthefour-bodydecayt1 bff ′N1.Thesedecayscanbeveryslow[228],sothatthe! B !˜ 0! → Last but not least, the→ polarization of the top quarks in the t t χ decay needs special lightest stop can be quasi-stable on the time scale relevant for collider physics, and! can hadronize into attention. Top quark polarization can significantly a↵ect the detectione efficiency, as discussed bound! states.! ! ! in Ref. [49, 52]. In real SUSY models, this polarization depends in a complicatede way on the details of the ˜t and χ0 mixing matrices. In order to check the dependence of the results on 9.4 Gluino decaysthe final state quark polarization, the signal sample was generated under the assumption that the decay ˜t t χ0 produces unpolarized top quarks and limits for the left-polarized and The decay of the gluino can! only proceede through a squark, either on-shell or virtual. If two-body right-polarized top quarks within the T2tt model are obtained by analytically reweighting the decays g qq are open, they will dominate, again because the relevant gluino-quark-squark coupling → unpolarized sample. in Figure 6.3a has QCD strength. Sincee the top and bottom squarks can easily be much lighter than all of the other! squarks,! it is quite possible that g tt and/or g bb are the only available two-body → 1 → 1 decay mode(s) for1.4 the Other gluino, in Beyond which case the they Standard will dominat Modeleoverallothers.Ifinsteadallofthe theories squarks are heavier than the gluino, the gluino! will! decay only! through! off-shell squarks, so g qqN → i and qq′Ci.Thesquarks,neutralinosandcharginosinthesefinalstateSupersymmetry is not the only theory addressing the shortcomingsswillthendecayasdiscussed of the SM. The little Higgs above, so theretheories can be many with T-parity competing conservation gluino decay [53– chains.55] areSo equallyme of able the to possibilities solve the hierarchy are! shown problem in! and fig. 9.2.! The cascadeprovide decays stable, can neutral, have final-state weakly interacting branching particles fractions acting that as are good individually cold dark smallmatter and candidates. quite sensitive toModels the model predicting parameters. extra dimensions are also theoretically appealing and attracted a lot of The simplestattention. gluino decays, In the including following, the the ones general shown features in fig. 9 of.2, these can have models 0, 1, are or discussed. 2 charged leptons (in addition to two or more hadronic jets) in the final state. Animportantfeatureisthatwhenthere Little Higgs Little Higgs models comprise a wide110 class of SM extensions in which the quadratic divergences of the physical Higgs boson mass cancel out at the one-loop level, but reappear at the multi-loop level. In this way, the second term in the right-hand side of Eq. 1.3 is reduced by additional 2 powers of 8⇡ , and the scale ⇤UV is correspondingly pushed up. A new symmetry is introduced and the breaking of this symmetry around the TeV scale results into new gauge bosons, scalars, and fermions responsible for canceling the one loop quadratic divergences. Some of the most appealing Little Higgs models extend the SM with additional families of vector-like quarks [55,56]. Vector-like quarks are hypothetical spin-1/2 fermions that transform as triplets under the color gauge group and whose left- and right-handed components have the same color and electroweak quantum numbers. They are the simplest example of colored fermions still allowed by experimental data. Additional families of chiral quarks are excluded by 18 SUSY production cross-sections arxiv : 1407.5066 10 4 3 10 σtot[pb]: pp → SUSY √s = 13 TeV fall rapidly 10 2 NLO+NLL with mass 10 1 -1 10 -2 10 -3 Review : 10 q˜ g˜ q˜ q˜ 1105.1110 -4 10 t˜ t˜ * g˜ g˜ q˜ q˜ * -5 10 500 1000 1500 2000 2500 3000 3500 m [GeV] Figure 1: NLO+NLL production cross sections for the case of equal degenerate squark and gluino masses as a function of mass at √s =13TeV. 10 4 3 10 σtot[pb]: pp → SUSY √s = 14 TeV 10 2 NLO+NLL 10 1 -1 10 -2 10 -3 10 q˜ g˜ q˜ q˜ -4 10 t˜ t˜ * g˜ g˜ q˜ q˜ * -5 10 500 1000 1500 2000 2500 3000 3500 m [GeV] Figure 2: NLO+NLL production cross sections for the case of equal degenerate squark and gluino masses as a function of mass at √s =14TeV. 6 Introduction Christian Sanders, For CMS, Talk at SUSY 2015 • SM is incomplete (DM, hierarchy problem, gravity, neutral atoms …) • SUSY is able to provide simultaneously solutions to some of these shortcomings backgrounds are • SUSY is broken: Masses are typically large heavy and cross sections are low • Most attractive when masses in TeV range → searches @LHC • Challenge: suppress and understand SM backgrounds with orders of magnitude larger cross sections C. Sander SUSY Searches at CMS SUSY 2015 - Lake Tahoe 7 Some examples to get the hang of it production of charginos neutralinos,sleptons etc. 12 Early Results from LHC ATLAS Searches* - 95% CL Lower Limits (Lepton-Photon 2011) -1 ~ ~ ATLAS MSUGRA/CMSSM : 0-lep + ET ,miss L=1.04 fb (2011) [Preliminary] 980 GeV q = g mass Preliminary 0 ∼ -1 ~ ~ Simplified model (light χ ) : 0-lep + ET ,miss L=1.04 fb (2011) [Preliminary] 1.075 TeV q = g mass 1 ∫Ldt = (0.034 - 1.04) fb-1 ∼0 s = 7 TeV Simplified model (light χ ) : 0-lep + E -1 ~ 1 T ,miss L=1.04 fb (2011) [Preliminary] 850 GeV q mass ∼0 Simplified model (light χ ) : 0-lep + E -1 ~ 1 T ,miss L=1.04 fb (2011) [Preliminary] 800 GeV g mass ∼0 ~ Simpl. mod. (light χ ) : 0-lep + b-jets + E -1 ~ 1 T ,miss L=0.83 fb (2011) [ATLAS-CONF-2011-098] 720 GeV g mass (for m(b) < 600 GeV) ~ 0 ∼ -1 ~ ∼0 Simpl.