Feebly coupled Dark Matter and long-lived particles at the LHC - - PowerPoint PPT Presentation
Feebly coupled Dark Matter and long-lived particles at the LHC Alberto Mariotti HEP@ Based on: JHEP 1809 037 with Lorenzo Calibbi, Laura Lopez Honorez, Steven Lowette arXiv:1904.07513 with Sam Junius and Laura Lopez Honorez DESY Theory
DESY Theory Seminar
6 May 2019 Based on: JHEP 1809 037 with Lorenzo Calibbi, Laura Lopez Honorez, Steven Lowette arXiv:1904.07513 with Sam Junius and Laura Lopez Honorez
? Where do we go ?
Many fundamental questions still open …
H i e r a r c h y p r
l e m ? Force Unification ? Dark matter nature? B a r y
e n e s i s ? I n fl a t i
? Flavour hierarchies ?
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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? Where do we go ?
Many fundamental questions still open …
H i e r a r c h y p r
l e m ? Force Unification ? Dark matter nature? B a r y
e n e s i s ? I n fl a t i
? Flavour hierarchies ?
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
3
Typically inspired by the WIMP miracle Assume Dark Matter is a new elementary particle
Useful framework for pheno studies
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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Dark Matter abundance through freeze-out (FO) mechanism
✦Dark Matter annihilates into Standard Model Particles ✦Dark Matter abundance freeze-out during cooling of universe
!"# $"! $"# %"! %"# !$& !$' !$% !$! !( !& !'
10-4 10-6 10-8 10-10 10-12 10-14 10-16 1 10 100
[Bernal et al. 2017]
m/T
Y (= comoving number density)
Yeq
!!! Correct abundance for weakly interacting massive particle !!!
Typical weak coupling cross section Independent on initial conditions
Portal interaction
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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WIMP-like DM is prototype of DM simplified models
IceCube
Three-fold way
Fermi Satellite
Large Hadron Collider
e.g. Neutralino dark matter in SUSY Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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Limits on WIMP DM are improving continuosly
Strong limits from XENON1T
Very sensitive in 5-1000 GeV DM mass range Mediator Dark Matter
MonoJet signature
arXiv:1712.02345
LHC results
Mediator search
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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But possibility for Dark Matter are much vaster
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
✦Evade Direct and Indirect Detection ✦Can be tested @ LHC with exotic signatures (long lived particles (LLP), displaced vertices ...) ✦Explore the unexplored!
Q: Why? In this talk:
Pragmatic Approach: Simplified models to draw lessons about interplay of DM production mechanism and experimental signatures Freeze-In DM and displaced signatures @ LHC Co-annihilation Freeze-Out and LLP @ LHC
A window into the cosmological history?
9
24 April 2017 eather Russell, McGill University
displaced leptons, lepton-jets, or lepton pairs displaced multitrack vertices multitrack vertices in the muon spectrometer quasi-stable charged particles trackless, low-EMF jets emerging jets non-pointing (converted) photons disappearing or kinked tracks
[Figure from Heather Russell]
S M d e c a y s a r e t y p i c a l l y p r
p t N e w P h y s i c s s i g n a t u r e s w i t h l
b a c k g r
n d
Challenging but powerful
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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LLP WG report: arXiv:1903.04497
✴FIMP ✴SuperWIMP ✴Asymmetric DM ✴Pseudo-Dirac DM ✴Conversion driven FO (co-annihilation)
Feng, Rajaraman, Takayama '03 Chang, Luty '09
What are DM models with long-lived signatures? Some explored cases ....
Davoli, De Simone, Jacques, Sanz '17 Garny, Heisig, Lülf, Vogl '17 Hall, Jedamzik, March-Russell, West '09 Co, D'Eramo, Hall, Pappadopulo '15
............................
Hall, March-Russell , West '10 Schwaller, Stolarski, Weiler '15 Hessler, Ibarra, Molinaro, Vogl '16 Buchmueller, De Roeck, McCullough, Hahn, Sung, Schwaller, Yu '17 Stolarski '17 D'Agnolo, Mondino, Ruderman, Wang '18, Ghosh, Mondal, Mukhopadhyaya '18 Davoli, De Simone, Jacques, Morandini '18 D’Eramo, Fernandez, Profumo '18 Garny, Heisig, Hufnagel, Lülf '18 Garny, Heisig '18 Aboubrahim, Nath '19
Typically non thermal production
Kaplan, Luty, Zurek '09 Schwaller, Stolarski, Weiler '15
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
In this talk:
Freeze-In DM and displaced signatures @ LHC Co-annihilation Freeze-Out and LLP @ LHC
12
✦Dark matter not in thermal equilibrium with SM bath ✦Produced via decay or scattering of particles in thermal equilibrium
Hall, Jedamzik, March-Russell, West '09 Blennow, Fernandez-Martinez, Zaldivar '13 Bernal, Heikinheimo, Tenkanen, Tuominen, Vaskonen '17
Standard Model bath Dark Matter
Freeze-in through decay
Bélanger, Cai, Desai, Goudelis, Harz, Lessa, J.No, Pukhov, Sekmen, Sengupta, Zaldivar, Zurita '18 Co, D'Eramo, Hall, Pappadopulo '15
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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Γ
0.0 0.5 1.0 1.5 2.0
log10x log10Y
DM abundance
★Mother (mediator) A in thermal equilibrium ★Mediator A decays to Dark Matter and produce it
Particles in thermal equilibrium Dark Matter
Width (lifetime) of the mediator A determines the DM abundance
1706.07442
Tiny coupling Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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✦What is typical value of portal coupling? ✦Can we probe FIMP DM experimentally?
FIMP Dark Matter abundance
ΓA ∼ y2 8π mA
★Suppressed signal in direct detection ★Suppressed signal in indirect detection
Can LHC probe FIMP?
Ωh2 ∼ 0.12 ✓ ΓA 4 × 10−15 GeV ◆ ✓600 GeV mA ◆2 ⇣ mDM 10 keV ⌘
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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✦Can we probe FIMP DM at LHC? YES ! ✦Mediator has sizeable coupling with SM particles ✦Can be copiously produced at the LHC
To be in thermal equilibrium
Typical mediator decay length is macroscopic: EXOTIC SIGNALS @ LHC !!!
Long-lived
DM
DM
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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Ωh2 ∼ 0.12 ✓5 cm cτA ◆ ✓600 GeV mA ◆2 ⇣ mχ 10 keV ⌘
Mediator accessible at the LHC Macroscopic decay visible at LHC Very light Dark Matter
10-6 10-5 10-4 0.001 0.01 0.1 1 0.01 0.1 1 10 100 1000 mc@GeVD ct @meterD
2
Typical size for detector Standard Cosmology history Light Dark Matter regime
mA = 600 GeV
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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Ωh2 ∼ 0.12 ✓5 cm cτA ◆ ✓600 GeV mA ◆2 ⇣ mχ 10 keV ⌘
Mediator accessible at the LHC Macroscopic decay visible at LHC Very light Dark Matter
10-6 10-5 10-4 0.001 0.01 0.1 1 0.01 0.1 1 10 100 1000 mc@GeVD ct @meterD
2
Typical size for detector Standard Cosmology history Light Dark Matter regime
Displaced dark matter at LHC WDM signatures
mA = 600 GeV
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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( u)2, 1
2 =
✓ +
u
◆ , ( d)2, − 1
2 =
✓ 0
d
− ◆ , ( s)1, 0
✦Minimal model with few extra fermionic states ✦Lagrangian coupling with the Higgs
− L ⊃ µ d · u + yd d · H s + yu H† u s + 1 2ms s s + h.c.
Mahbubani, Senatore '05 Calibbi, Lopez-Honorez, Lowette, AM
yu ≡ y sin ✓, yd ≡ y cos ✓.
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
19 Z 2 s y m m e t r y i m p
e d
( u)2, 1
2 =
✓ +
u
◆ , ( d)2, − 1
2 =
✓ 0
d
− ◆ , ( s)1, 0
✦Minimal model with few extra fermionic states ✦Lagrangian coupling with the Higgs
− L ⊃ µ d · u + yd d · H s + yu H† u s + 1 2ms s s + h.c.
Simple spectrum and decay modes
Similar to Higgsino-Bino with tiny mixing
Long-lived states
Radiative corrections
Mahbubani, Senatore '05 Calibbi, Lopez-Honorez, Lowette, AM
Dark matter
yu ≡ y sin ✓, yd ≡ y cos ✓.
✦Regime for Freeze-in:
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
20 Z 2 s y m m e t r y i m p
e d
( u)2, 1
2 =
✓ +
u
◆ , ( d)2, − 1
2 =
✓ 0
d
− ◆ , ( s)1, 0
✦Minimal model with few extra fermionic states ✦Lagrangian coupling with the Higgs
− L ⊃ µ d · u + yd d · H s + yu H† u s + 1 2ms s s + h.c.
Simple spectrum and decay modes
Similar to Higgsino-Bino with tiny mixing
Long-lived states
Displaced Z/h plus MET
Radiative corrections
Mahbubani, Senatore '05 Calibbi, Lopez-Honorez, Lowette, AM
Disappearing tracks
Dark matter
yu ≡ y sin ✓, yd ≡ y cos ✓.
✦Regime for Freeze-in:
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
21 Z 2 s y m m e t r y i m p
e d
Where is region of parameter space suitable for freeze-in ?
Yχ1 = 270MPl (1.66)8π3g3/2
∗
X
B=Z,h
Γ[χ3 ! Bχ1] m2
χ3
+ X
B=Z,h
Γ[χ2 ! Bχ1] m2
χ2
+ gψ Γ[ψ+ ! W +χ1] m2
ψ
! (1 Dark matter abundance Decay width of heavy doublet components into dark matter
Calibbi, Lopez-Honorez, Lowette, AM
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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Where is region of parameter space suitable for freeze-in ?
Yχ1 = 270MPl (1.66)8π3g3/2
∗
X
B=Z,h
Γ[χ3 ! Bχ1] m2
χ3
+ X
B=Z,h
Γ[χ2 ! Bχ1] m2
χ2
+ gψ Γ[ψ+ ! W +χ1] m2
ψ
! (1 Dark matter abundance Decay width of heavy doublet components into dark matter
Typical coupling size for displacement Doublet mass scale accessible at the LHC
Calibbi, Lopez-Honorez, Lowette, AM
Very light DM mass, cosmological constraints
One can impose the correct relic abundance and reduce the parameter space
Ωχ1h2 ' 0.11 ⇣ y 10−8 ⌘2 ⇣ mχ1 10 keV ⌘ ✓700 GeV µ ◆
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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Calibbi, Lopez-Honorez, Lowette, AM
Fix Dark Matter abundance to correct value
Ωχ1h2 ' 0.11 ⇣ y 10−8 ⌘2 ⇣ mχ1 10 keV ⌘ ✓700 GeV µ ◆
Typical coupling size compatible with DM abundance
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
24 All parameters are fixed
Calibbi, Lopez-Honorez, Lowette, AM
Fix Dark Matter abundance to correct value
Ωχ1h2 ' 0.11 ⇣ y 10−8 ⌘2 ⇣ mχ1 10 keV ⌘ ✓700 GeV µ ◆
Charged fermion decay
Disappearing track limit ~ 150 GeV
Decays mainly to pions and
Typical decay length is ~cm
Γ[ ± ! ⇡±2,3] = χ2,3
ATL-PHYS-PUB-2017-019 ... for pure Higgsino see e.g. Mahbubani, Schwaller, Zurita '17 Fukuda, Nagata, Otono, Shirai '17
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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Calibbi, Lopez-Honorez, Lowette, AM
Fix Dark Matter abundance to correct value
Ωχ1h2 ' 0.11 ⇣ y 10−8 ⌘2 ⇣ mχ1 10 keV ⌘ ✓700 GeV µ ◆
Neutral fermions decay
Decays to Z and h almost democratically Decay length ranges from 0.01 to 1000 meter
χ2,3 → h/Z + χ1
... for Higgsino-gravitino see Meade, Reece, Shih '10 Liu, Tweedie, '15
Displaced Z/h plus MET
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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Production modes at the LHC
pp ! χ2χ3 + X, pp ! ψ+ψ− + X, pp ! χ2,3ψ± + X.
Doublets production modes p p χ2 χ3 h/Z h/Z χ1 j j j j χ1
Displacement in region of parameter space with correct relic abundance (from 1cm to 1Km)
Fixed Dark matter abundance Calibbi, Lopez-Honorez, Lowette, AM
Displaced Z/h+MET is main signature of the model !
Long-lived particles
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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Simplified models with fixed BR into h(+MET) or Z(+MET)
High mass reach
ATLAS arXiv: 1710.04901 CERN-EP-2017-202
Calibbi, Lopez-Honorez, Lowette, AM
8TeV limits
Z.Liu, B.Tweedie, '15 CMS PAS EXO-12-038
Search for Displaced Vertices + MET
We reinterpreted it for
p p χ2 χ3 h/Z h/Z χ1 j j j j χ1
Long-lived particles
Decay distance Long lived particle mass
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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Viable region on parameter space and pheno probes
Fixed Dark matter abundance
Dark Matter Mass Doublet mediator mass
"Warm" Dark Matter constraints (Lyman alpha) ATLAS DV+MET LHC can be competitive in large displacement region!
Disappearing Track searches
Calibbi, Lopez-Honorez, Lowette, AM
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
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Figure from M.Tytgat
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
Interesting phenomena in the co-annihilation regime
✦Dark matter abundance mainly set by annihilation into SM of DM partner
Efficient Conversion
Compressed spectrum
31
Mediator Dark Matter
y gSM
Standard Model
y?
F I ⌧ y ⌧ gSM
Typical Freeze-In value
Large range of couplings
Conversion
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019 Inefficient conversion
∆m mB ⌧ 1 Compressed spectrum
What happens when conversion is not fully efficient?
32
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019 Inefficient conversion
Compressed spectrum
What happens when conversion is not fully efficient?
33
Mediator Dark Matter
y
Typical Freeze-In value
✦Very small couplings, closer to FI regime
F I < y ⌧ gSM
gSM
Standard Model
See e.g. Garny, Heisig, Lülf, Vogl '17 D'Agnolo, Pappadopulo, Ruderman '17
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019 Inefficient conversion
Compressed spectrum
What happens when conversion is not fully efficient?
34
Mediator Dark Matter
y
Typical Freeze-In value
✦Very small couplings, closer to FI regime
F I < y ⌧ gSM
gSM
Standard Model
Very small couplings
1 Γ[B → χA] ∼ cm to meters
D i s p l a c e d s i g n a t u r e s @ L H C
Conversion
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
Consider leptophilic DM as simplified model for conversion driven FO
✦SM + Majorana Dark Matter + Charged Mediator (Z2 symmetry on dark sector)
Dark Matter Charged mediator SM lepton SM Higgs
Similar to slepton-bino with arbitrary couplings
DM interaction
Coupling determining DM production mechanism
(= eR, µR, τR)
Mass spectrum
35
Junius, Lopez-Honorez, AM for FO see e.g. Garny, Ibarra, Vogl '15 and many others ...
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
Consider leptophilic DM as simplified model for conversion driven FO
✦SM + Majorana Dark Matter + Charged Mediator (Z2 symmetry on dark sector)
Dark Matter Charged mediator SM lepton SM Higgs
Similar to slepton-bino with arbitrary couplings
DM interaction
Coupling determining DM production mechanism
(= eR, µR, τR)
Mass spectrum We consider feeble coupling and compressed mass spectrum
∆m ⌧ mχ
36
Junius, Lopez-Honorez, AM
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
Mediator pair production and decay
R
R
But first: solve for Dark Matter + Mediator abundance evolution !!!
★Heavy stable charged particles ★Disappearing tracks ★Displaced (soft) leptons + missing energy ★Prompt (soft) leptons + missing energy
... Depending on mediator lifetime ...
DY production
37
Junius, Lopez-Honorez, AM
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019 DM annihilation Mediator annihilation
gamma's are interaction rates
DM abundance Mediator abundance
co-annihilation co-annihilation
Conversion processes
dYχ dx = 2 Hxs γχχ ✓ Y 2
χ
Y 2
χ,eq
1 ◆ + γχφ ✓ YχYφ Yχ,eqYφ,eq 1 ◆ + γχ→φ ✓ Yχ Yχ,eq Yφ Yφ,eq ◆ + γχχ→φφ† Y 2
χ
Y 2
χ,eq
Y 2
φ
Y 2
φ,eq
!# ,
dYφ dx = 2 Hxs " γφφ† Y 2
φ
Y 2
φ,eq
1 ! + γχφ ✓ YχYφ Yχ,eqYφ,eq 1 ◆ γχ→φ ✓ Yχ Yχ,eq Yφ Yφ,eq ◆ γχχ→φφ† Y 2
χ
Y 2
χ,eq
Y 2
φ
Y 2
φ,eq
!# ,
Conversion processes
38
Junius, Lopez-Honorez, AM
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
10-11 10-9 10-7 10-5 0.001 0.100 0.1 100 105 λχ Ωh2 m=150GeV, Δm=2GeV, λH=0.1
What are the different regimes for the DM production mechanisms?
39
Junius, Lopez-Honorez, AM
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
✦Tiny couplings + Mass Compression ✦Decay and scattering contribute 10-11 10-9 10-7 10-5 0.001 0.100 0.1 100 105 λχ Ωh2 m=150GeV, Δm=2GeV, λH=0.1
Freeze-in
Yχ Yϕ Ωh2=0.12
0.01 0.10 1 10 100 1000 10-14 10-11 10-8 10-5 10-2 x=mχ/T Y mχ=150GeV, Δm=2GeV, λχ=8*10-12, λH=0.1
✦Macroscopically long lived mediator
DM production LHC phenomenology
✦Stable charged particle searches
Γφ ∼ 1 250km ✓ λχ 10−9 ◆2 ✓ ∆m 1GeV ◆2 ✓100GeV mχ ◆
40
Junius, Lopez-Honorez, AM
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
✦Freeze-out of partner (mediator annihilation) ✦Conversion processes always efficient 10-11 10-9 10-7 10-5 0.001 0.100 0.1 100 105 λχ Ωh2 m=150GeV, Δm=2GeV, λH=0.1
Co-annihilation
✦Promptly decaying mediator
DM production LHC phenomenology
✦Very soft leptons + missing energy
Yχ Yϕ Ωh2=0.12
0.01 0.10 1 10 100 1000 10-14 10-11 10-8 10-5 10-2 x=mχ/T Y mχ=150GeV, Δm=2GeV, λχ=10-4, λH=0.1
Γφ ∼ 1 25µm ✓ λχ 10−4 ◆2 ✓ ∆m 1GeV ◆2 ✓100GeV mχ ◆
41
Junius, Lopez-Honorez, AM
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
✦Small but not tiny couplings ✦Conversion processes barely efficient ✦Abundance larger than in "standard" co-annihilation case 10-11 10-9 10-7 10-5 0.001 0.100 0.1 100 105 λχ Ωh2 m=150GeV, Δm=2GeV, λH=0.1
Conversion driven Freeze-Out
✦Mediator decays inside the detector
DM production LHC phenomenology
✦Displaced leptons or disappearing tracks
Yχ Yϕ Ωh2=0.12
0.01 0.10 1 10 100 1000 10-14 10-11 10-8 10-5 10-2 x=mχ/T Y mχ=150GeV, Δm=2GeV, λχ=8*10-7, λH=0.1
Γφ ∼ 1 25cm ✓ λχ 10−6 ◆2 ✓ ∆m 1GeV ◆2 ✓100GeV mχ ◆
42
Junius, Lopez-Honorez, AM
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
4 5 7 10 13 16 19
Ωh2=0.12
100 150 200 250 300 350 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 mΧ [GeV] Δm [GeV]
What is the parameter space for conversion driven Freeze-Out ?
Coupling in units of 10^(-7)
(b) λH = 0.1
Standard Freeze-Out
Region with Conversion Driven FO
Co-annihilation Freeze-Out ✦Solve for coupling leading to correct relic abundance 43
Junius, Lopez-Honorez, AM
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
4 5 7 10 13 16 19
Ωh2=0.12
100 150 200 250 300 350 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 mΧ [GeV] Δm [GeV]
What is the parameter space for conversion driven Freeze-Out ?
Coupling in units of 10^(-7)
(b) λH = 0.1
Standard Freeze-Out
Region with Conversion Driven FO
Co-annihilation Freeze-Out ✦Solve for coupling leading to correct relic abundance 44
Junius, Lopez-Honorez, AM
LEP bound
Δm=3GeV Δm=0.5GeV Δ m = 1 . 5 G e V Mediator FO Conversion FO Ωh2=0.12 DT ATLAS DT CMS HSCP
100 150 200 250 300 350 0.1 1 10 100 1000 mϕ (GeV) cτϕ (cm) λH=0.1
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
✦Weak constraints from LHC ✦Large regions unconstrained ✦No signal expected in direct/indirect detection Heavy Stable Charged Particles D i s a p p e a r i n g t r a c k s ( 1 3 T e V ) Contours of to get correct DM abundance
∆m
Co-annihilation Freeze-Out
45
Junius, Lopez-Honorez, AM
Displace lepton search (8 and 13TeV) no sensitivity
CMS PAS EXO-16-022
ATLAS JHEP 06 (2018) 022 CMS Eur. Phys. J. C75 (2015) 325 CMS-PAS-EXO-16-036 8 TeV 13 TeV
Focus here on Muon case for concreteness D i s a p p e a r i n g t r a c k s ( 1 3 T e V )
CMS JHEP 1808 (2018) 016
Δm=3GeV Δm=0.5GeV Δ m = 1 . 5 G e V Mediator FO Conversion FO Ωh2=0.12 DT ATLAS DT CMS HSCP
100 150 200 250 300 350 0.1 1 10 100 1000 mϕ (GeV) cτϕ (cm) λH=0.1
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
✦Weak constraints from LHC ✦Large regions unconstrained ✦No signal expected in direct/indirect detection Heavy Stable Charged Particles D i s a p p e a r i n g t r a c k s ( 1 3 T e V ) Contours of to get correct DM abundance
∆m
Co-annihilation Freeze-Out
46
Junius, Lopez-Honorez, AM
Displace lepton search (8 and 13TeV) no sensitivity
CMS PAS EXO-16-022
ATLAS JHEP 06 (2018) 022 CMS Eur. Phys. J. C75 (2015) 325 CMS-PAS-EXO-16-036 8 TeV 13 TeV
Focus here on Muon case for concreteness D i s a p p e a r i n g t r a c k s ( 1 3 T e V )
CMS JHEP 1808 (2018) 016
Still much to explore!
★LHC negative results challenge BSM proposals ★Explore alternative DM scenarios! ★FIMP links DM to long-lived/displaced signatures @ LHC ★Interplay with cosmology
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
★LHC can probe Freeze In ! ★Rich pheno in simplified models
Δ Δ Δ Ω
ϕ
τϕ λ
Δm=3GeV Δm=0.5GeV Δm=1.5GeV Mediator FO Conversion FO Ωh2=0.12 DT HSCP
100 150 200 250 300 350 0.1 1 10 100 1000 mϕ (GeV) cτϕ (cm) λH=
Δ Δ Δ Δ Ω
ϕ
τϕ λ
Leptophilic conversion driven FO Singlet-Doublet DM Freeze-In ...Take home messages ...
47 LHC DM production
★Several directions to explore in FIMP phenomenology ★Other FIMP-like models: non-reno operators ... ★Reheating temperature dependence, inflation ... ★Extend collider reach to uncovered lifetime ★Extend collider reach to soft objects as much as possible ★Optimistic: once signal is detected, can we declare is DM?
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
.........................
48
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
49
Simplified models with fixed BR into h(+MET) or Z(+MET)
✦Apply the efficiency grids
DV+MET search has strong reach on EW states in SD-FI
✦Follow object selection of
auxiliary materials
✦Validate recasting with model
in ATLAS paper as advocated in Les Houches 2017
Etruth
T
, d0, nDV
tracks, mDV , Rdecay, zdecay
ATLAS arXiv: 1710.04901 CERN-EP-2017-202
Calibbi, Lopez-Honorez, Lowette, AM
8TeV limits
Z.Liu, B.Tweedie, '15 CMS PAS EXO-12-038
50
✦Missing energy requirement
Simplified models with fixed BR into h(+MET) or Z(+MET)
ET > 200 GeV
4 mm < Rdecay < 300 mm
|zdecay| < 300 mm
ntracks ≥ 5
mDV ≥ 10 GeV
✦Select displaced charged tracks ✦Define displaced vertex (DV) if: ✦Require at least one DV ✦Apply efficiencies provided by ATLAS collaboration ✦Validate your analysis with ATLAS model (gluino Split SUSY)
Steps of the analysis DV+MET search has strong reach on EW states in SD-FI
51
Translate model independent bound on Singlet Doublet DM model
Yukawa coupling Doublet mass
Excluded region
Correct relic density for 12KeV mass DM
Calibbi, Lopez-Honorez, Lowette, AM
52
Translate model independent bound on Singlet Doublet DM model
Yukawa coupling Doublet mass
Excluded region
Correct relic density for 12KeV mass DM Lyman-alpha bound for light DM DM mass Doublet mass
Calibbi, Lopez-Honorez, Lowette, AM
Cosmological constraint!
53
Translate model independent bound on Singlet Doublet DM model
Yukawa coupling Doublet mass
Excluded region
Correct relic density for 12KeV mass DM Lyman-alpha bound for light DM DM mass Doublet mass
Calibbi, Lopez-Honorez, Lowette, AM
Cosmological constraint!
54
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
55
Standard Co-annihilation: to understand shape
4 5 7 10 13 16 19
Ωh2=0.12
100 150 200 250 300 350 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 mΧ [GeV] Δm [GeV]
mχ
✦Assuming that:
hσviφφ† ⇠ 1 m2
φ
⇠ 1 m2
χ
The shape follows
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
56
dYχ dx = s Hx h hσχχvi
χ Y 2 χ,eq
lvi
⇣ YχYe
l Yχ,eqYe l,eq
⌘ + 2Γχ→e
l
s Yχ Ye
l
Yχ,eq Ye
l,eq
! 2Γe
l
s ✓ Ye
l Yχ
Ye
l,eq
Yχ,eq ◆ + hσχχ→e
le l†vi
Y 2
χ Y 2 e l
Y 2
χ,eq
Y 2
e l,eq
!# ,
l
dx = s Hx h hσe
le l†vi
⇣ Y 2
e l Y 2 e l,eq
⌘ + 2hσχe
lvi
⇣ YχYe
l Yχ,eqYe l,eq
⌘
l
s Yχ Ye
l
Yχ,eq Ye
l,eq
! + 2Γe
l
s ✓ Ye
l Yχ
Ye
l,eq
Yχ,eq ◆ hσχχ→e
le l†vi
Y 2
χ Y 2 e l
Y 2
χ,eq
Y 2
e l,eq
!# ,
X
i,j
hσχχ→ijvi,
lvi =
X
i,j
hσχe
l→ijvi,
le lvi =
X
i,j
hσe
le l→ijvi,
l =
X
i,j
hσχi→e
ljvini,eq,
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
57
γij→kl = Z Z dφidφjf eq
i f eq j
Z Z dφkdφl(2π)4δ4(pi + pj pk pl)|Mij→kl|2 = neq
i neq j hσij→klviji
Z Z Z
h
→
i γij→k = Z Z dφidφj Z dφkf eq
k (2π)4δ4(pi + pj pk)|Mk→ij|2 = neq k Γk→ij
K1(x) K2(x) (6
be Γij→k(l) = γij→k(l)/neq
χ , e
γ /neq. In addition le
are taken to be
ij→k(l)
Γφφ†→SM SM = γφφ†/neq
φ . I
driven freeze-out, the DM
χχ ! l¯ l : Γ = hσχχ→l¯
lvineq χ neq χ
neq
χ
,
l ! SMSM : Γ = Σi,jhσχe
l→ijvineq χ neq e l
neq
e l
,
le l† ! SMSM : Γ = Σi,jhσe
le l†→ijvineq e l neq e l
neq
e l
,
lSM : Γ = Σi,jhσχi→e
ljvineq χ neq i
neq
χ
,
l ! χl : Γ = Γe
l→χb
K1
l/T
l/T
neq
e l
neq
χ ,
le l† : Γ = hσχχ→e
le l†vineq χ neq χ
neq
χ
.
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
58
0.01 0.10 1 10 100 1000 10-24 10-14 10-4 106 x=mχ/T Γ/H mχ=150GeV, Δm=2GeV, λχ=8*10-7, λH=0.1
ϕϕ†→SM SM χχ→ll χϕ→SM SM χl→ϕ χSM→ϕSM χχ→ϕϕ†
(a)
Yχ Yϕ Ωh2=0.12
0.01 0.10 1 10 100 1000 10-14 10-11 10-8 10-5 10-2 x=mχ/T Y mχ=150GeV, Δm=2GeV, λχ=8*10-7, λH=0.1
(b)
0.01 0.10 1 10 100 1000 10-24 10-14 10-4 106 x=mχ/T Γ/H mχ=150GeV, Δm=2GeV, λχ=8*10-12, λH=0.1
ϕϕ†→SM SM χχ→ll χϕ→SM SM χl→ϕ χSM→ϕSM χχ→ϕϕ†
(c)
Yχ Yϕ Ωh2=0.12
0.01 0.10 1 10 100 1000 10-14 10-11 10-8 10-5 10-2 x=mχ/T Y mχ=150GeV, Δm=2GeV, λχ=8*10-12, λH=0.1
(d)
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
59
3 5 10 15 20 25 30
Ωh2=0.12
200 400 600 800 1000 1200 2 4 6 8 10 12 14 mΧ [GeV] Δm [GeV]
(c) λH = 0.5
4 5 7 10 13 16
Ωh2=0.12
100 150 200 250 0.5 1.0 1.5 2.0 2.5 3.0 mΧ [GeV] Δm [GeV]
(a) λH = 0.01
Alberto Mariotti (VUB) FIMP DM and LLP @ LHC 06-05-2019
60
10-11 10-9 10-7 10-5 0.001 0.100 0.1 100 105 λχ Ωh2
m=300GeV, Δm=2GeV, λH=0.5 m=150GeV, Δm=2GeV, λH=0.5 m=150GeV, Δm=8GeV, λH=0.5 m=150GeV, Δm=2GeV, λH=0.1
Figure 8: DM abundance as a function of the Yukawa coupling (as in Fig. 2) for different values of the parameters mχ, ∆m and λH