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Folded SUSY hep-ph/0609152. Harnik. opposite spin partners but gauge quantum numbers may be different from those of conventional superpartners. idea. leads to the idea of quirks: exotic vector-like fermions with a hidden-confining group. M >> . Analogous to QCD with no light quarks.
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Folded SUSY hep-ph/0609152 Harnik opposite spin partners but gauge quantum numbers may be different from those of conventional superpartners idea leads to the idea of quirks: exotic vector-like fermions with a hidden-confining group. M >> . Analogous to QCD with no light quarks
neutral under SM group energetic barrier v-quark Hidden valleys A motivation to look for highly displaced vertices or a large number of ordinary displaced vertices (b, ) v-hadrons LSvP 0604261 LSsP
if strong charge R-hadron low time- of-flight ~ 1 ns resolution in det. nuclear interaction model assuming the heavy parton acts as a spectator possible charge exchanges orionisation in Si tracker or ATLAS TRT CMS: stable gluino 30 pb–1 ATLAS: gluino up to 1 TeV with 100 pb–1
SHAFT ? CMS
Lecture 3 ED Little Higgs Strong coupling sampling among a huge number of studies many require luminosities well above 10fb–1 back to a model-independant approach
Extradimensions the possibility of compact ED is an old idea, resurrected by SUGRA and Superstrings it was then realized that the compactification radius can be large ( » 1/MPlanck) or that one can exploit a warped extra space. That would solve (or reinterpret) the hierarchy problem many possible variants phenomenology: momentum in ED means mass in 4D. KK-towers of the particles having access to the bulk may be accessible at colliders 1 fermi = 1/200 MeV
ADD TeV–1UEDRS1 Bulk RS flat warped MD= 1TeV =2~10–4 fermiR–1<300 GeVwarp factor e–kR 410–4 eV 1001/k: curvature radius R: compactification radius kR ~ 11 only gravity e.g. gauge all SMSM on all in bulk in bulk bosons in bulk in bulk brane KK-parity pair creation ew at loop level DM candidate [mUED] KK graviton-SM coupling ~1/MPl KK tower nearly continuous ~ 2/R KK gluon KK of SM gauge bosons,.. KK of SM gauge bosons KK graviton gravity weak because diluted in the extra dim (R>>MD-1) gravity weak because localized near a brane which is not ours
Many possible signatures Di-leptons, di-jets continuum modifications Di-leptons, di-jets and di-photons resonance states Single jet/single photon + Etmiss Single lepton + Etmiss Back-to-back energetic jets +Etmiss 4 jets + 4 leptons +Etmiss Black holes? Strong gravity? virtual graviton production in ADD black holes or strong gravity new particles in RS1 (RS1 graviton) and in TeV–1 extra dimension model (ZKK) direct graviton production in ADD WKK decay in TeV–1 extra dim UED UED
ADD notations MS cosmo- and astro-physics bounds (see backup): at least n = 2, 3 are more severely constrained than by LEP/Tevatron but these bounds disappear if there is no KK graviton lighter than about 100 MeV. Collider experiments mostly probe the heavy graviton modes.
direct production of graviton signatures single gamma monojet
Single + ETmiss CMS fight mostly Z MD=2.5TeV n = 2 Z 30fb–1 S 30fb–1 significance versus MD B
Rizzo unparticles monojets ADD SM 100 fb-1 ATLAS n=2 • jet < 3 n=4 signal and background for large ED in ADD, monojet channel Kribs
ADD Graviton exchange
dimuon diphoton CMS ATLAS 1fb–1 n=6 ~ 4 TeV n=3 ~ 5.8 TeV Mmin: lower cut-off on the di-photon mass MS: theory scale
TeV-1 flat 10–4 fermi gauge bosons in the bulk
KK Z and W boson 6 TeV 4 TeV CMS ee saturation of electronics ATLAS 5 discovery CMS e
UED all matter fields in the bulk R ~ TeV–1
Basic scheme momentum conservation in ED KK number conservation pair production. A compactification scale of ~ 300 GeV satisfies electroweak constraints at tree level, all first excitations degenerate in mass at 1/R (+ Higgs effect) pair production as S2 (+ kinematics) if degeneracies, stable or long lived states loop corrections lift the degeneracy radiative corrections imply a cut-off scale To avoid unitarity violation, R not too large: R =20 ? then model-dependent spectrum. much like Rp SUSY, except spins, existence of a 2nd excitation, etc 0510418 KK pairs at LHC total
model-dependent spectrum typically: g* + 30% q* + 20% W* Z* l* * + few % LKP is *, close to 1/R chain decay to LKP not very hard products focus on leptons one-loop corrected, 1/R=500 GeV, R=20, mh=120 GeV
M.Gigg and P.Ribeiro four leptons + ETmiss from one UED Les Houches 07 inverse problem? study dilepton spectrum more than one UED? DM limits: 0206071
Fat brane variant all ED large (cf ADD), but matter confined to 1/M of 4D brane (fat brane) momentum conservation in 5D does not hold extra momentum associated to graviton emission picked up by the brane KK number conservation does not hold anymore Gravity-matter interaction: gravity-mediated decay can compete or dominate phenomenology: single KK excitations
UED E of graviton radiated 0510418 1 TeV 6 4 2 Di-jet + missing ET Di-photon + missing ET reach for 20 and 100 evts 2 6 6 2
WARPED ED AdS/CFT correspondance General idea Randall-Sundrum 1: all SM on the brane phenomenology: KK graviton, radion problems Bulk Randall-Sundrum: all SM in the bulk KK recurrences of SM electroweak constraints promises and problems
slice of a 5-dim anti-de Sitter space, AdS5 5D cosmological constant , 5D Planck scale M metric ds2 = e–2ky dx dx– dy2 y is the coordinate of the 5th dimension k is the curvature of AdS = sqrt(–) the extra dimension has the geometry of the orbifold S1/Z2 i.e. segment of length L M ~ k ~ MPl if kL ~ 30, e–2kL MPl ~ 1 TeV L is not a large ED, inverse size ~ GUT scale parameters: k M L low energy effective theory: k, 1/L << M c = k/M < 0.1 KK gravitons mass split ~ 1 TeV decay in dileptons, dibosons (BR to = 2 BR to ll), dijet smaller c narrower resonance L
excluded: above, left c no new scale between ew and 10 TeV 10fb-1 100fb-1 c 10fb–1 Z’ graviton c cos
radion Scalar field corresponding to an overall dilatation of the ED Its value controls the size of the ED Perhaps the lightest BSM particle in this scenario Coupling near the weak scale Similar, but not identical, to the Higgs boson. Gluophilic. Can mix with the Higgs see back up
Bulk RS models good features bad features main targets: lightest KK partner of graviton gluon * electroweak bosons top * experimental problem of boosted top should one invent the Little RS? elementary composite ex. fermions: e(0.5-c)ky c = 0.5 flat fermion c > 0.5 closer to Planck
KK graviton is the hope in RS1 in bulk RS, light quarks near UV brane, tR very near the TeV brane. The KK graviton is also localized near the TeV brane. due to overlap of the wave functions in the ED expect: a (small) production through gluon annihilation decay into H, W, Z, top and other KK states see back up beware: 100fb-1, perfect top tagging
a glimpse at KK gluon mind: 100fb-1, perfect top tagging! no more early BSM! B.Lillie, L.Randall, L.T.Wang 0701166 G.Perez, MC4BSM K.Agashe et al 0701166
pb/ GeV 100 fb /M=0.17 100fb-1
Identification of narrow energetic top needed for many physics channels not for the early days, but learn how to do focus on hadronic top decay products highly collimated S/B before b-tag ~ 1/165 one b-tag not enough study substructure of top and QCD jet
KK gauge bosons 0706.4191 • RS with L-R structure • specific charges of the new abelian group and specific fermion • localizations, to solve AFBb anomaly • mKK of 3 TeV • complete study of DY, gg fusion, associated production at LHC see back up
Gauge-Higgs or Higgs as Goldstone boson in warped space Higgs phenomenology? partners of top 0712.0095 0801.1679 *
T5/3 the “custodian”
Strong dynamics realized by the bulk of an extra dimension. custodial symmetry GC=SU(2)C include a LR parity GC=SU(2)C PLR The heavy partners ot (tL,bL) can fill a (2,2)2/3 representation. Two SU(2)L doublets. One (T,B) has the quantum numbers of (tL,bL). The other (“custodian”) is made of T5/3 and T2/3 These new fermions are expected to couple strongly to the 3rd generation quark plus a longitudinal W, Z or the Higgs (e.g. tW) Pair produced by QCD. Single production and decay from the above couplings. Here pair production of B and T5/3 and final state involving same-sign dileptons four W 0801.1679 Contino, Servant
1pb theorist analysis early physics?
Transplanckian May be early physics. But what to look for?
TeV gravity? limited entropy 0708.3017 ≥6 ADD 0.1fb • xmin ? thermality semiclassical approx. applicable • inelasticity: initial state radiation 2 ADD n=6 fb MD xmin =1 to 6 RS MD consider two-body final state cf. compositeness search RS
Unparticles why here? conjecture dilatation generator D mass spectrum continuous or all masses equal to zero scale invariance manifestly broken at tree level in SM an operator with general non-integral scale dimension dU in a scale invariant sector looks like dU invisible massless particles ?
0706.3152 Limits from LEP Drell-Yan at Tevatron monojets at LHC others: Higgs, WW?
THE LITTLE HIGGS MODEL solves the “small hierarchy problem” ensure compensations between particles of the same type must invent a number of new particles in the TeV mass range
Littlest Higgs hep-ph/0206021 hep-ph/0512128
f ~ 1 TeV vacuum condensate global 24 –10 = 14 broken generators, and thus 14 NGB fields non-linear -model, in terms of pion matrix subgroup of SU(5) break global symmetry by gauging gauged generators
0512128, 0703138 the model top partners
the “pion” matrix physical, massless absorbed by heavy B Higgs 14 NGB triplet hypercharges more simply:
NORMAL LH (WITHOUT T) heavy gauge bosons 0512128 back up T quark*
Search for T Littlest Higgs, ATLAS No account of electroweak constraints single dominates in Lt (generating the Yukawa coupling) two couplings 1 and 2