95% CL exclusions 5 Nf = 3
Probing 2
2 ILC LumiUp 1 ILC 250 TLEP
TTh ~MTH g ( ( ( Z > Z > 0.32 0.5 2.6 Z > 1. %) Colorless %) %) 0.2 scalar fermion
0.1 200 500 1000 2000 colored SUSY CH/RS Naturalness mT (GeV) Folded Quirky EW SUSY Little Higgs CERN-CKC Theory Institute on Neutral Naturalness singlet ? Twin Higgs
mirror CERN, Geneva glueball 27 April 2015
David Curtin University of Maryland mirror based on glueball DC, Verhaaren [in preparation] DC, Saraswat, Sundrum [in preparation]
1 Solving the Hierarchy Problem Classic Approach: some continuous symmetry (SUSY or shift) protects the Higgs mass. Leads to new colored states ~ TeV.
New(ish*) Possibility: continuous ⊗ discrete symmetry, with only even states in low-energy spectrum. Top Partners without color charge!
* hep-ph/0506256 Chacko, Goh, Harnik See many talks at this * hep-ph/0609152 Burdman, Chacko, Goh, Harnik 0812.0843 Cai, Cheng, Terning workshop for model details. 1411.7393 Craig, Knapen, Longhi .... Very rich world of models, which we are still exploring. ➾ Old theory biases have to go!
Need a new way to organize our thinking about phenomenology of naturalness.
2 Bottom-Up Phenomenology A calculable theory of the higgs mass requires top partners to stabilize the weak scale beyond O(500 GeV). Classify such theories by top partner spin and gauge charge.
This will organize low-energy signatures of naturalness into a clear pattern.
scalar fermion Other important colored SUSY CH/RS considerations: Structure of hidden sector? Quirky Little EW Folded SUSY (Mirror QCD? Glueballs?) Higgs Scale of UV completion?
hep-ph/0506256 Chacko, Goh, Harnik singlet ? Twin Higgs hep-ph/0609152 Burdman, Chacko, Goh, Harnik 0812.0843 Cai, Cheng, Terning 1411.7393 Craig, Knapen, Longhi .... 3 Bottom-Up Phenomenology • We want to think about the bare-bones signatures of uncolored naturalness as model-independently as possible. • Concentrate on the signatures due to top partners. Other aspects of the theories will also produce signatures (1,2 gen, EWPO of full hidden sector, etc..) • Structure of hidden sector will have important consequences. Hidden QCD’ is theoretically motivated, reduces tuning (higher ΛUV). In absence of light QCD’ matter get hidden glueballs! • Think about signatures in the context of future collider capabilities. What can humanity probe in a lifetime?
4 Bottom-Up Phenomenology Known theories give shifts O(v2/f2) ~ tuning. Completely general? scalar fermion
SUSY CH/RS Decay: EW production & charge in final state. colored top partner production colored
Annihilation into Folded SUSY Quirky Little Higgs glueballs, “displaced jets” EW top partner production EW If hidden QCD. Decay into hidden glueballs Exotic Higgs Decays (spectacular) or invisible (difficult)
higgs portal top partner production Tree-level higgs coupling shifts ~ tuning No hidden singlet glueballs loop-level coupling shifts (Zh, higgs cubic) Fairly modest reach: ? Twin Higgs last resort?
5 Bottom-Up Phenomenology
Always some signatures.
Can gain further insight by splitting discussion according to structure of hidden sector.
6 Hidden QCD with Glueballs
7 Hidden QCD Almost all theories with uncolored top partners feature an gauge symmetry G, which is broken at some multi-TeV scale G→ G1 ⊗ G2 ⊗ Y where hep-ph/0506256 Chacko, Goh, Harnik hep-ph/0609152 Burdman, Chacko, Goh, Harnik G1 ⊃ ‘our’ SU(3)cA , 0812.0843 Cai, Cheng, Terning 1411.7393 Craig, Knapen, Longhi G2 ⊃ ‘mirror’ SU(3)cB , .... Y is a discrete symmetry which ensures that top (sector A) 2 and top partner (sector B) quadratic mh corrections cancel.
This mirror QCD is also preferred in the presence of any (discrete) symmetry which relates the higgs couplings of the top and a top partner. Without mirror QCD, RG effects in the hidden sector impose at least ~10% tuning.
1501.05310 Craig, Katz, Strassler, Sundrum
8 Hidden QCD with Glueballs
The most general hidden sector is some hidden valley with baryons at the bottom of the spectrum. However, if the hidden sector shares SM EW charge, then no states lighter than ~100 GeV can exist (LEP).
If g3A ~ g3B and there are is no light hidden matter ➾ glueballs of mirror QCD are the lightest states in mirror sector!
Spectrum of pure SU(3) known to ~10% from lattice studies. Can calculate some glueball decays, including the lightest state 0++. m0 ≅ 7 ΛQCD’
hep-lat/9901004 Morningstar ; 0903.0883 Juknevich, Melnikov, Strassler; 0911.5616 Juknevich 9 Hidden QCD with Glueballs 0903.0883 Juknevich, Melnikov, Strassler; 0911.5616 Juknevich Top partners connect our Higgs sector to the mirror QCD:
Glueballs mix with the Higgs The Higgs can also decay to via top partner loop. these glueballs: Will decay back to SM! exotic displaced decays!
mirror glueball visible Higgs mirror SM glueball top partners
mirror glueball Key signature of uncolored naturalness! 1501.05310 Craig, Katz, Strassler, Sundrum
10 Hidden QCD with Glueballs
scalar fermion
colored SUSY CH/RS
Quirky Little These models are guaranteed* to have EW Folded SUSY Higgs glueballs.
These models could have hidden singlet ? Twin Higgs glueballs (e.g. MTH) but don’t have to. MTH: 1501.05310 Craig, Katz, Strassler, Sundrum
Mirror glueballs lead to two important signatures: - exotic higgs decays to glueballs - annihilation of produced top partners into glueball jets
11 Hidden QCD with Glueballs
scalar fermion Investigate these benchmark models. colored SUSY CH/RS
Quirky Little These models are guaranteed* to have EW Folded SUSY Higgs glueballs.
These models could have hidden singlet ? Twin Higgs glueballs (e.g. MTH) but don’t have to. MTH: 1501.05310 Craig, Katz, Strassler, Sundrum
Mirror glueballs lead to two important signatures: - exotic higgs decays to glueballs - annihilation of produced top partners into glueball jets
12 Benchmark Models Folded SUSY Twin Higgs EW-charged uncolored stops SM-singlet fermionic top partners 1 v mT = mt cot p2 f ✓ ◆
y 1 m y 1 m = t = t M 2p2 vmt˜ M 2 vmT (for ~ degenerate stops)
Glueball properties given by two parameters: ++ 0 mass m0 and top partner mass(es) “M”
DY stop production Higgs Portal top partner production
Quirky Little Higgs: same higgs coupling as TH, but with DY T production.
13 Benchmark Models Folded SUSY Twin Higgs EW-charged uncolored stops SM-singlet fermionic top partners 1 v mT = mt cot p2 f ✓ ◆ Can serve as placeholders y for 1generalm uncolored top partnery theories1 m = t = t M by2 pimagining2 vmt˜ different top partnerM charges.2 vmT (degenerate stops)
Glueball properties given by two parameters: ++ 0 mass m0 and top partner mass(es) “M”
DY stop production Higgs Portal top partner production
Quirky Little Higgs: same higgs coupling as TH, but with DY T production.
14 Hidden QCD with Glueballs
Exotic Higgs Decays
15 Properties of Mirror Glueballs Glueball Lifetime 0911.5616 Juknevich
++ Log10c (meters) of 0 glueball 2000 1 4 - 7 0 2500 1 Only consider lightest -2 ] 1500 ] glueball state 2000 5 2 with mass m0. Twin Higgs
Folded SUSY 3 6 1500
1000 )[ )[ -3 GeV ( GeV ( T t
1000 m m Displaced 500 -4 decays at 500 -5 colliders!
0 10 20 30 40 50 60
m0 (GeV)
16 Properties of Mirror Glueballs Glueball Spectrum
To estimate the plausible range of glueball masses:
Assume QCD = QCD’ at some multi-TeV scale.
Evolve αQCD’ to find ΛQCD’ ~ m0/7.
More QCD’ matter gives lighter glueballs.
Evolve with ‘lightest’ and ‘heaviest’ hidden spectra to get m0 range as function of lightest hidden sector particle.
17 Properties of Mirror Glueballs Glueball Spectrum Folded Susy
60
11
50 9
7
5 ) 40 11
GeV 9 ( 7 0 3
m 5
30 2 3 2
1 1 Heaviest possible glueball mass 20 Lightest possible glueball mass .. for different scales (TeV) at which QCD = QCD’ 500 1000 1500 2000
mt1 (GeV) plausible 0++ mass range ~ 15 - 55 GeV
18 Properties of Mirror Glueballs Glueball Spectrum Twin Higgs
30
) t m / b m
t B m
2 Glueballs in TH 25 =
B b m ·( 2 11 9
require mirror ) 7 11 9
GeV 20 5 ( 7 0 symmetry to be m 3 5 2 3
2 broken. 15 1 1
10 500 1000 1500 2000 m (GeV) Different possibilities: tB
60
) t ) t m / /m heavy 1,2 gen, or all b b m m t B B t m
m 2 3 = B = b 50 m B ·( gens close to bottom. b 2 m
·( 2 11 11 9 9
) 40 7 7 GeV
( 5 5 0 m ++ 30 3 3 plausible 0 mass range 2 2
1 1 ~ 10 - 45 GeV 20
500 1000 1500 2000
mtB (GeV)
19 Properties of Mirror Glueballs Glueball Spectrum Twin Higgs
30
) t m / b m
t B m
2 Glueballs in TH 25 =
B b m ·( 2 11 9
require mirror ) 7 11 9
GeV 20 5 ( 7 0 symmetry to be m 3 5 2 3
2 broken. 15 1 See1 Andrey’s talk
10 for Bottomonium 500 1000 1500 2000 m (GeV) Different possibilities: Complications.tB 60
) t ) t m / /m heavy 1,2 gen, or all b b m m t B B t m
m 2 3 = B = b 50 m B ·( gens close to bottom. b 2 m
·( 2 11 11 9 9
) 40 7 7 GeV
( 5 5 0 m ++ 30 3 3 plausible 0 mass range 2 2
1 1 ~ 10 - 45 GeV 20
500 1000 1500 2000
mtB (GeV)
20 Properties of Mirror Glueballs Summary
Plausible hidden sector with UV-completion scales up to ~10 TeV give glueball masses in 10 - 60 GeV range.
Lifetimes of those glueballs are are μm - km.
➾ Spectacular Exotic Higgs Decays!
21 Exotic Higgs Decays Can use SM Br(h→gg) ~ 8% to estimate h→0++0++.
↵QCD (mh) For the spectra we consider, 1.05 . 0 . 1.5 ↵QCD(mh)
so to be slightly pessimistic set αQCD’=αQCD. Assume 0++ always preferred. y2 2 4m2 Br(h 0++0++) Br(h gg) 4v2 1 0 Modest reduction 2 2 in Br if all glueball ! ⇡ ! ⇥ M ⇥ s mh ✓ ◆ final states are allowed.) mirror 0.010 glueball 0.001
m0 = 10 GeV Br -4 10 m0 = 40 GeV
m0 = 60 GeV -5 mirror 10 folded SUSY glueball 200 400 600 800 1000 M Recall HL-LHC will make ~ 108 Higgses.
22 Exotic Higgs Decays Estimate expected signal yield of h → 0++ 0++ → 4b (displaced) For displaced decays, backgrounds very minor. Signal yield will give good idea of sensitivity.* *Triggers!? To estimate signal at LHC, HL-LHC and 100 TeV pp collider: • in MG + Pythia + PGS, simulate pp → h + X, with h→ss→4b. ➾ correctly captures kinematics of h → glueballs → SM ➾ Use detector-objects from PGS to compute efficiency of various triggers. • Use known NLO higgs xsec, Br(h→glueballs), Br(glueball→bb) to get signal xsec. • use truth-level info on s (glueballs) to find likelihood of decaying in given detector subsystem event-by-event.
23 Compare LHC, HL-LHC, 100 TeV signal in Tracker
2000 -1 -1 2000 8 TeV, 20fb 1 1 2500 Log10N 2500 ATLAS tracker 2 -1 -1 2 -11
] ] 14 TeV, 3000fb 1500 -1 ] 1500 ] 2000 ggF ATLAS tracker 2000 0 VBF 0 Twin Higgs Twin Higgs
Folded SUSY 1500 Folded SUSY 1500 1000 1000 3 )[ )[
)[ )[ 0 > 10 events 2 GeV GeV ( ( GeV GeV
( 1 ( 1000 T 1000 T t 0 t > 10 events m m m m 4 500 500 3 2 1 500 500 54 3 2 5 6 43 6 7 20 30 40 50 60 20 30 40 50 60
m0 (GeV) m0 (GeV) 2000 1 32 100 TeV, 3000fb-1 2500 -01 2 3
LHC8 might be sensitive to 200 ] ATLAS tracker • 1500 ] GeV top partners. 2 2000 1 0 Twin Higgs
Folded SUSY 3 1500 • HL-LHC will cover most of 1000 4 )[
)[ > 10 events GeV
parameter space for M < 2 TeV. ( GeV (
1000 T t m m 54 • 100 TeV: M ~3 TeV? 500
5 6 500 7 6 Trigger? 8 7 20 30 40 50 60 m0 (GeV) 24 What about other detector systems?
2000 > 10 events -1 0 2500 ]
1500 ] 2000 0 0 -1 2 1 Twin Higgs
Folded SUSY 1 1500 1000 )[ )[ GeV ( GeV
( 1 0
1000 T t m
m 2 4 500 14 TeV, 3000fb-1 3 500 5 ATLAS ECAL 4 3--11 20 30 40 50 60
m0 (GeV) Loose a lot of sensitivity if we can’t use decays in tracker!
How to trigger at LHC?
25 Triggering on Exotic Higgs Decays
With VBF triggers, maintain sensitivity to ~ 1.5 - 2TeV top partners 2000 -1 ATLAS Tracker 14 TeV -1 3000fb-1 2500 at HL-LHC h→bb VBF trigger ]
1500 0 ] scalar fermion 2000
1 > 10 events colored SUSY CH/RS Twin Higgs
Folded SUSY 1500 1000
)[ Folded Quirky )[ EW 1 SUSY Little Higgs GeV ( GeV 0 (
2 1000 T t m m singlet ? Twin Higgs 500 2 3 500 3 4 4 5 5 20 30 40 50 60
m0 (GeV)
26 Hidden QCD with Glueballs
Top Partner Annihilation
PRELIMINARY PRELIMINARY 27 Uncolored (s)quirkonium and Glueball Jets
emission of soft photons / glueballs Some glueballs will decay visbily in detector: EMERGING JETS* SM
T pair production SM via DY or h* (PERTURBATIVE) T slow Ts p p shower & hadronize into two DARK GLUEBALL JETS (s)quirkonium T de-excitation
T annihilation
to hard mirror * see also 1502.05409 Schwaller, Stolarski, Weiler gluons (PERTURBATIVE)
SM
This might allow measurement of top partner masses & couplings.
28 PRELIMINARY Rough Signal Estimate PRELIMINARY • Many aspects of the process are calculable perturbatively • T pair production xsec via DY or h* • for given T velocity distribution, hard mirror gluon spectrum from annihilation • Ignore possible hard decays of T partners for now (OK in e.g. folded SUSY with t1 LSP) • Can attempt to compute velocity spectrum after (s)quirkonium de- excitation, but process is poorly understood. But T’s are non-relativistic when they annihilate, so don’t need details for first estimate. • Could parton shower mirror gluons in pure QCD, but ‘hadronization’ is completely unknown. For first estimate, assume average number of glueballs per dark jet is
29 Scalar Top Partners: Detection -1 -1 Log Nevents for 100 TeV, 3000fb , Ldetector = 1 Log10Nevents for 14 TeV, 3000fb , Ldetector = 1 10 N = number of di-dark-top events with at least one detected glueball IN WHOLE EVENT Nevents = number of di-dark-top events with at least one detected glueball IN WHOLE EVENT events 2000 2000 0 1 2 -3 -1 -2 -6 DY production HL-LHC one detected 100 TeV -4 1500 0 glueball 1500 > 10 events
-5 per event. ) ) 3 GeV GeV ( ( 1 -1 M
M 1000 1000 > 10 events reach (N>10):
2 1 TeV @ HL-LHC 4 500 2+ TeV @ 100 TeV 500 3
4 TRIGGER? 5 10 20 30 40 50 60 10 20 30 40 50 60
m0 (GeV) m0 (GeV)
-1 Log N for 100 TeV, 3000fb-1, Ldetector 1 Log10Nevents for 14 TeV, 3000fb , Ldetector = 1 10 events = Nevents = number of di-dark-top events with at least one detected glueball IN WHOLE EVENT Nevents = number of di-dark-top events with at least one detected glueball IN WHOLE EVENT HIGGS PORTAL VBF ONLY HIGGS PORTAL VBF ONLY 2000 -4 2000 -1 -3 0 1 HL-LHC h* + VBF production -4 -6 100 TeV -2 one detected 1500 glueball 1500 -2 -1 2 ) ) per event GeV GeV ( ( -3 M 1000 M 1000 -5 0 reach (N>10): > 10 events
1 0.6 TeV @ HL-LHC 3 500 > 10 events 2+ TeV @ 100 TeV 500 2 4 3 10 20 30 40 50 60 10 20 30 40 50 60
m0 (GeV) m0 (GeV) 30 Scalar Top Partners: Detection -1 -1 Log Nevents for 100 TeV, 3000fb , Ldetector = 1 Log10Nevents for 14 TeV, 3000fb , Ldetector = 1 10 N = number of di-dark-top events with at least one detected glueball IN WHOLE EVENT Nevents = number of di-dark-top events with at least one detected glueball IN WHOLE EVENT events 2000 2000 0 1 2 -3 -1 -2 -6 DY production HL-LHC one detected 100 TeV -4 1500 0 glueball 1500 > 10 events
-5 per event. ) ) 3 GeV GeV ( ( 1 -1 M
M 1000 1000 > 10 events reach (N>10):
2 1 TeV @ HL-LHC 4 500 2+ TeV @ 100 TeV 500 3
4 TRIGGER? 5 10 20 30 40 50 60 10 20 30 40 50 60
m0 (GeV) m0 (GeV)
Also- 1 allows colorless Log N for 100 TeV, 3000fb-1, Ldetector 1 Log10Nevents for 14 TeV, 3000fb , Ldetector = 1 10 events = Nevents = number of di-dark-top events with at least one detected glueball IN WHOLE EVENT Nevents = number of di-dark-top events with at least one detected glueball IN WHOLE EVENT HIGGS PORTALnaturalness VBF ONLY to be HIGGS PORTAL VBF ONLY 2000 -4 2000 -1 -3 0 1 detectedHL-LHC if glueballsh* + VBF production -4 100 TeV -6 -2 heavier than mh/2!one detected 1500 glueball 1500 -2 -1 2 ) ) per event GeV GeV ( ( -3 M 1000 M 1000 -5 0 reach (N>10): > 10 events
1 0.6 TeV @ HL-LHC 3 500 > 10 events 2+ TeV @ 100 TeV 500 2 4 3 10 20 30 40 50 60 10 20 30 40 50 60
m0 (GeV) m0 (GeV) 31 Measurement
• Annihilation into dark glueball jets allows top partner masses to be measured: • Treat glueball jets as ‘displaced jets’ with unknown (but, on average, constant) fraction of ‘hadrons’ being invisible. • Measure missing fraction event-by-event using ISR pT, then reconstruct missing jet 4-momenta and measure T mass (with enough statistics) • Could also use MET & other kinematic methods see e.g. 1503.0009 Cohen, Lisanti, Lou • If T partners undergo visible beta-decay before annihilation, lepton spectrum could reveal more information about hidden sector spectrum. • In principle, with known T-partner masses and known glueball mass, Br(h→glueballs) reveals T-partner coupling to Higgs.
If we’re lucky, we might be able to experimentally verify the cancellation of higgs mass quadratic divergences.
32 Scalar Top Partners: Measurement -1 -1 Log10Nevents for 14 TeV, 3000fb , Ldetector = 1 Log10Nevents for 100 TeV, 3000fb , Ldetector = 1 Nevents = number of di-dark-top events with two detected glueballs per jet Nevents = number of di-dark-top events with two detected glueballs per jet 2000 -4 -2 2000 DY production -6 100 TeV
two detected -2 -1 0 glueballs 1500 HL-LHC 1500 1
-6 per dark jet.
) ) 2 GeV GeV ( ( 0 -4 M 1000 M 1000 > 100 events measurement (N>100): -1 0.5 TeV @ HL-LHC -3 1.7 TeV @ 100 TeV -3 500 1 500 > 100 events 3 -5 2 TRIGGER -5 4 10 20 30 40 50 60 should be ok 10 20 30 40 50 60 m0 (GeV) m0 (GeV) -1 Log10Nevents for 14 TeV, 3000fb , Ldetector = 1 -1 Nevents = number of di-dark-top events with two detected glueballs per jet Log10Nevents for 100 TeV, 3000fb , Ldetector = 1 HIGGS PORTAL VBF ONLY Nevents = number of di-dark-top events with two detected glueballs per jet 2000 -5 -3 HIGGS PORTAL VBF ONLY 2000 -2 -1 HL-LHC h* + VBF production -6 1500 two detected 1500 0 -2 glueballs 100 TeV 1 ) ) -6 GeV per dark jet. ( GeV (
M 1000
M 1000 -4 -1 measurement (N>100): > 100 events
500 --- @ HL-LHC -3 0 500 0.8 TeV @ 100 TeV 2
-4 1 -5 3 10 20 30 40 50 60 10 20 30 40 50 60 m (GeV) 0 m0 (GeV) 33 No Hidden QCD
34 No Hidden QCD Without hidden QCD, most theories give UV completions that seem very accessible to a 100 TeV collider or even the HL-LHC. e.g. 0808.1290 Thaler, Poland Also, if top partners have EW charge, probably have multi-TeV reach due to DY production and EW charge in decay final state. What about neutral top partners without hidden QCD? What can we learn about such top partners, without assumptions about the UV completion or even IR-theory bias?
scalar fermion Tree-level higgs coupling shifts ~ tuning
colored SUSY CH/RS higgs portal top partner production
coupling shifts (Zh, higgs cubic) Quirky Little EW Folded SUSY Higgs Some models here have exciting singlet ? Twin Higgs signatures (see e.g. Brian’s talk), but we look at ‘worst case scenarios’ here.
35 No Hidden QCD
Neutral Scalar Top Partners
36 Neutral Scalar Top Partners Imagine a set of (wlog real) scalars that solve the little hierarchy problem.
These scalars must have experimental consequences: SS S
h h h SS
Craig, Englert, McCullough, 1305.5251 100 TeV with 30/ab collider has ➾ O(0.5%) σ(Zh) deviations. mass reach of ~ few 100 GeV TLEP could exclude 0.6% via VBF h*→XX production. 1310.8361 Snowmass Higgs 1409.0005 DC, Meade, Yu Working Group Report 1312.4974 Peskin 1412.0258 Craig, Lou, McCullough, Thalapillil
ILC Lumi ILC Up TLEP
37 Probing Naturalness via h3 coupling The h3 coupling is emerging as one of the ‘holy grails’ of a possible 100 TeV collider. Precision measurement at the % level allows sensitive probe of higgs potential, EW phase transition, extra states coupling to higgs ...
1412.7154 Barr, Dolan, Englert, 100 TeV with 30/ab can exclude 10% shift in λ3. de Lima, Spannowsky (5% 1σ precision) [to be released], W. Yao Existing studies point towards exciting possible precision, but this might even be conservative! Top partners also cause 1000
N = 1 (fermions) 3 100 f shift in h coupling! 2 Might end 3 (%) 6 up as most
SM 10 3 N = 1 (real scalars)
r /
h h 3 2
sensitive 4 1 8 probe? 12 24 S 0.10
finite-p effects. h 0.01 See McCullough slides 200 400 600 800 1000 m (GeV)
38 Neutral Scalar Top Partners Imagine a set of (wlog real) scalars that solve the little hierarchy problem.
These scalars must have experimental consequences:
ILC 3 Lumi h δσZh ILC Up TLEP
h*→SS Motivates more work on h3. Also h*→SS production.
Even best-case reach seems a bit bleak. Have to probe UV theory?
39 No Hidden QCD
Neutral Fermionic Top Partners
40 Neutral Fermion Top Partners Same higgs portal measurements available as for the scalar, with same or slightly better mass reach!
However: for fermionic top partners, we’re used to seeing tree-level higgs coupling corrections ~ tuning. i.e. “v2/f2” in CH/MTH/... theories
TLEP gives mT = 2.2 TeV exclusion for e.g. Minimal Twin Higgs model. (corresponds to ~ 1% tuning)
Higgs coupling measurements seem much more powerful than Higgs Portal observables.
Is this completely model-independent?
41 PRELIMINARY PRELIMINARY UV completion for Fermionic T Imagine a set of fermions that solve the little hierarchy problem.
T H t is cancelled by H
By itself, this does not imply tree-level higgs coupling shift. However, consider the two possible UV completions:
Bosonic UV Completion Fermionic UV Completion
m T¯ T +(g HTT¯ + h.c.) L T2 2 2 h12 2
T T
h2 H H T2
Leads to higgs coupling shifts Leads to EW T or T2 production
42 Bosonic UV completion for Fermionic T
T
h2 H
Bosonic UV completion necessarily leads to SM higgs mixing with new dof.
matching, cancellation condition
For given Nf and mT, mixing angle is determined up to unknown h2 TT coupling
PRELIMINARY PRELIMINARY 43 PRELIMINARY PRELIMINARY Bosonic UV completion for Fermionic T 95% CL exclusions 5 Nf = 3
Exclusions on neutral 2 fermionic top partners 2 ILC LumiUp Specific models are 1 ILC 250 TLEP TTh ~MTH can now be expressed g ( ( curves in this plane, e.g. ( Z > Z > 0.32 model-independently in 0.5 2.6 Z > 1. %) %) %) Twin Higgs. the (mT-gTTh2) plane 0.2
0.1 200 500 1000 2000 m (GeV) 95% CL exclusions T 95% CL exclusions 5 5 Nf = 1 For arbitrary Nf = 6
ILC LumiUp ILC 250 TLEP perturbative UV 2 2 ( ( completions, even ( Z > Z > 0.32 2.6 Z > 2 1. %) light fermionic T 2 1 %) %) 1 TTh TTh g can escape g ILC LumiUp 0.5 detection. 0.5 ILC 250 TLEP ( ( ( Z > Z > 0.32 Is this plausible? 2.6 Z > 1. %) 0.2 Scale of UV? 0.2 %) %)
0.1 Other sources of 0.1 200 500 1000 2000 tuning? 200 500 1000 2000 mT (GeV) mT (GeV) 44 PRELIMINARY PRELIMINARY Fermionic UV completion for Fermionic T
T m T¯ T +(g HTT¯ + h.c.) L T2 2 2 h12 2 H T2 (Much more UV structure above mT2!)
T, T 2 or both must carry EW charge. Since we assume T is SM-neutral, T2 is an SU(2) doublet. Matching & imposing cancellation again fixes observable (T2 mass) up to unknown coupling gh12. Large parts of this parameter space should be excludable by T T2 (h*) or T2 T 2 (DY) production. Investigation in progress.... 45 Hidden QCD without Glueballs
46 Hidden QCD without Glueballs Mostly identical phenomenology to case without hidden QCD. Scale of UV completion might be higher for same ‘tuning’. For EW charged top partners, hidden sector would have to be very non-mirror-SM-like to avoid LEP limits (light QCD’ matter < 100 GeV).
Only qualitatively different signature: invisible Higgs decays h→gBgB.
TLEP can exclude mstop < 270 GeV (folded SUSY) Br(h→invis) = 0.4% mT < 380 GeV (TH) Can be most sensitive probe. scalar fermion
colored SUSY CH/RS Tree-level higgs coupling shifts ~ tuning
EW top partner production & decay Quirky Little EW Folded SUSY Higgs NEW: Exotic Higgs Decays higgs portal top partner production singlet ? Twin Higgs 1310.8361 Snowmass Higgs coupling shifts (Zh, higgs cubic) Working Group Report 1312.4974 Peskin 47 Conclusions
48 Conclusions Uncolored Naturalness ≠ avoiding LHC signatures! = considering most general ways that Naturalness could manifest itself experimentally. ➾ could we ever ‘experimentally exclude’ naturalness to a reasonable degree?
Existing models provide valuable guidance, but much can be gained by considering phenomenology in a model-independent way. Organize theories by physical properties of top partners to understand pattern of minimal experimental signatures. For worst-case scenario (singlet top partners), can try to study indirect constraints in a model-independent way.
Twin Higgs smoking gun: Higgs couplings
Folded SUSY smoking gun: glueball signatures!
49 Summary: Top Partner Mass Reach
scalar fermion Tree-level higgs coupling shifts ~ tuning. TLEP reach ~ 2 TeV but theories could be more general? Smoking Gun Exotic Higgs Decays to Glueballs: colored SUSY CH/RS HL-LHC reach ~ 2 TeV, 100 TeV reach ~ 3+ TeV of Folded for most glueball masses SUSY! Quirky Little top partner production & annihilation: EW Folded SUSY Higgs HL-LHC, 100 TeV reach (TeV)
detection (most m0) measurement (some m0) DY: 1 , 2+ 0.5 , 1.5 singlet ? Twin Higgs h*: 0.6 , 2+ --- , 0.8 With Hidden Glueballs Hidden With
scalar fermion Tree-level higgs coupling shifts. TLEP reach ~ 2 TeV, but theories could be more general, some UV completions escape detection at TLEP even for small mT. Express constraints in UV completion parameter plane! colored SUSY CH/RS DY partner production & decay: EW final state, multi-TeV reach. (Studies needed!)
Quirky Little Exotic Higgs Decays (invisible) (if hidden QCD): EW Folded SUSY Higgs ~300 - 400 GeV reach @ TLEP*, but depends on hidden sector. h* top partner production (invisible): ~300 GeV reach @ 100 TeV* singlet ? Twin Higgs σZh shift @ TLEP: ~ 260 GeV reach* h3 shift @ 100 TeV: 200 GeV with current estimated precision, but might be
No Hidden Glueballs as high as ? 400 GeV ?. More studies needed! *for ‘standard’ top partner multiplicities 50 Summary: Top Partner Mass Reach
scalar fermion Tree-level higgs coupling shifts ~ tuning. TLEP reach ~ 2 TeV but theories could be more general? Smoking Gun Exotic Higgs Decays to Glueballs: colored SUSY CH/RS HL-LHC reach ~ 2 TeV, 100 TeV reach ~ 3+ TeV of Folded for most glueball masses SUSY! Quirky Little top partner production & annihilation: EW FoldedGreat SUSY Outlook Higgs HL-LHC, 100 TeV reach (TeV) even @ LHC! detection (most m ) measurement (some m ) Probe ~ 2 TeV 0 0 DY: 1 , 2+Most plausible 0.5 , 1.5 singlet top? partners.Twin Higgs h*: 0.6 , 2+ --- , 0.8 theories discoverable With Hidden Glueballs Hidden With at LHC & lepton colliders scalar fermion Tree-level higgs coupling shifts. TLEP reach ~ 2 TeV, but theories could be more general, some UV completions escape detection at TLEP even for small mT. Express constraints in UV completion parameter plane! colored SUSY CH/RS DY partner production & decay: EW final state, multi-TeV reach. (Studies needed!) Will be able to Great OutlookQuirky even Little Exotic Higgs Decays (invisible) (if hidden QCD): EW Folded SUSY @ LHC!Higgs ~300 - 400 GeV reach @ TLEP*,probe but depends many on hidden sector. h* top partner production UV completions (invisible): ~300 @ GeV reach @ 100 TeV* Maybe only TLEP probes σZh shift @ TLEP: ~ 260 GeV reach* O(100) GeV ~ 2 TeV top 100 TeV. singlet ? Twin Higgs 3 reach... partners h shift @ 100 TeV: 200 GeV with current estimated precision, but might be
No Hidden Glueballs as high as ? 400 GeV ?. More studies needed! *for ‘standard’ top partner multiplicities 51