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Alexander Belyaev 1
Minimal Vector (Isotriplet) Dark Matter
Alexander Belyaev
Southampton University & Rutherford Appleton Laboratory
Minimal Vector (Isotriplet) Dark Matter
G.Cacciapaglia, J.McKay, D. Marin, A.Zerwekh, AB – arXiv:1808.10464, PRD
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Alexander Belyaev 2
Minimal Vector (Isotriplet) Dark Matter
Why we are so keen to study DM?
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Alexander Belyaev 3
Decoding the nature of DM
CMB: WMAP and PLANCK
Large Scale Structures
Gravitational lensing
Bullet cluster
Galactic rotation curves
Because the existence of DM is the strongest evidence for BSM!
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Alexander Belyaev 4
Minimal Vector (Isotriplet) Dark Matter
Mass range for thermal DM
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Alexander Belyaev 5
Decoding DM at the LHC
T.Tait
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Alexander Belyaev 6
Decoding DM at the LHC
Minimal Consistentmodels
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Alexander Belyaev 7
Minimal Vector (Isotriplet) Dark Matter
Correct Relic density: efficient (co) annihilation at the time
of early Universe
Dark Matter (DM)
Signatures
Efficient annihilation now:Indirect Detection
Efficient scattering off nuclei: Direct Detection
Efficient productionat colliders
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Alexander Belyaev 8
Minimal Vector (Isotriplet) Dark Matter
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Efficient scattering off nuclei: DM Direct Detection (DD)
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Complementarity of DM searches
Important: there is no 100%correlation between signatures above. E.g. the high rate of annihilation does not always guarantee high rate for DD!
Actually there is a great complementarity in this:● In case of NO DM Signal – we can efficiently exclude DM models● In case of DM signal – we have a way to determine the nature of DM
Example of DM interactions with negligible/suppressed DD rates
DM DM DM DM
W/ZW/ZW/ZW/Z
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Alexander Belyaev 9
Minimal Vector (Isotriplet) Dark Matter
General Lagrangian with massless gauge field and massive vector (matter) field
A. Zerwekh Int.J.Mod.Phys. A28 (2013)1350054arXiv:1207.5233
transforms homogeniusly under the gauge transformations,heaving the properties of the matter field
is the gauge field, while
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Alexander Belyaev 10
Minimal Vector (Isotriplet) Dark Matter
It turns out that this theory can be unitary!
A. Zerwekh Int.J.Mod.Phys. A28 (2013)1350054arXiv:1207.5233
transforms homogeniusly under the gauge transformations,heaving the properties of the matter field
is the gauge field, while
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Alexander Belyaev 11
Minimal Vector (Isotriplet) Dark Matter
Theory with massive vector field in the adjoint representation interacting with non-abelian gauge field
there is a consistent gauge theory for a massive spin-1 field without scalar degrees of freedom
Unitarity requires no trilinear V interactions:the massive spin-1 field is odd under a new Z
2 symmetry
The massive vector is not a force carrier but a true matter filed
The theory has bi-gauge origin (see backup slides for details)
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Alexander Belyaev 12
Minimal Vector (Isotriplet) Dark Matter
The Minimal Isotriplet Vector Dark Matter Model (MI VDM)
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Alexander Belyaev 13
Minimal Vector (Isotriplet) Dark Matter
we must add interactions with Higgs doublet
only two parameters: a and M
The Minimal Isotriplet Vector Dark Matter Model (MI VDM)
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Alexander Belyaev 14
Minimal Vector (Isotriplet) Dark Matter
we must add interactions with Higgs doublet
due to the V-H interaction,Unitarity became an issue:
only two parameters: a and M
The Minimal Isotriplet Vector Dark Matter Model (MI VDM)
For MV > 2TeV, unitarity violation occurs at sufficiently high scales
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Alexander Belyaev 15
Minimal Vector (Isotriplet) Dark Matter
Phenomenology of MI VDM
The model is implemented into CalcHEP package using LanHEPDM observables with micrOMEGAsDM Collider phenomenology with CalcHEPAvailable at HEPMDB (hepmdb.soton.ac.uk) as hepmdb:0118.0283 model
Main relevant observables/constraints:DM relic densityDM direct detection (XENON1T)Collider observables
● disappearing charged tracks from V+ due to the small V0-V+ mass split
● from decay branching ratio
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Alexander Belyaev 16
Minimal Vector (Isotriplet) Dark Matter
The probe of MI VDM parameter space
The relic density map in MV-a parameter space
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Alexander Belyaev 17
Minimal Vector (Isotriplet) Dark Matter
The probe of MI VDM parameter spaceThe relic density map in M
V-a parameter space
DM DD constraints from XENON1T: limiting HVV interactions
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Alexander Belyaev 18
Minimal Vector (Isotriplet) Dark Matter
The probe of MI VDM parameter spaceThe relic density map in M
V-a parameter space
Relic density constraints from PLANCK: an upper limit on DM mass
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Alexander Belyaev 19
Minimal Vector (Isotriplet) Dark Matter
The probe of MI VDM parameter spaceThe relic density map in M
V-a parameter space
constraints from LHC: eliminates large a & low MV region
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Alexander Belyaev 20
Minimal Vector (Isotriplet) Dark Matter
Upper and lower limit on DM mass!application of upper and lower PLANCK limits on relic density
we have found narrow region for viable DM mass: 2.8-3.8 TeVCan we probe it?
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Alexander Belyaev 21
Minimal Vector (Isotriplet) Dark Matter
Disappearing Charged tracks from MI VDM
The small mass gap due to radiative mass corrections (~200MeV ~ pion mass) between DM and its charged partner will lead to the disappearing charge tracks signatures
The life-time should be properly evaluated using W-pion mixing (otherwise overestimated by factor of 10)
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Alexander Belyaev 22
Minimal Vector (Isotriplet) Dark Matter
Collider sensitivity to VDM massusing ATLAS arXiv:1712.02118 for LHC interpretation andMahbubani,Schwaller, ZuritaarXiv:1703.05327 for 100 TeV FCC projections
AB, Cacciapaglia, McKay, Martin, Zerwekh arXiv:1808.10464
Current bound from LHC on DM mass from the minimal vector triplet model: 1.3 TeV !
100 TeV FCC will cover DM mass beyond 4 TeV: will discover or close the model
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Alexander Belyaev 23
Minimal Vector (Isotriplet) Dark Matter
➪we have build an extension of the SM with the new massive spin-one isotriplet field with only two new parameters: M
V and V coupling to H
➪perturbative unitarity, requires new Z2 symmetry (so it is motivated by
theory and not imposed by hand), making V0 a DM candidate
➪If DM has a mass in the range 2.8-3.8TeV, the model explains the measured DM relic density and simultaneously satisfies complementary current experimental constraints
➪Spectacular feature of V+ – long lifetime due to a small (radiative) mass split with V0 , providing disappearing tracks signature
➪ future hadron collider with a centre-of-mass energy of 100TeV will probe masses beyond 4TeV – completely covering the allowed parameter space of the model with disappearing tracks signature.
So, we have an opportunity to discover or exclude the model
Summary
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Alexander Belyaev 24
Minimal Vector (Isotriplet) Dark Matter
Thank you!
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Alexander Belyaev 25
Decoding the nature of DM
Backup Slides
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Minimal Vector (Isotriplet) Dark Matter
A simple rotation
Same coupling constant
A bi-gauge origin of the theory with massive vector field
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Alexander Belyaev 27
Minimal Vector (Isotriplet) Dark Matter
Power of DM DD to rule out theory spaceVector DM Model
ZENON 1T excludes both large HVDM
VDM
couplings and large MDM
The lower masses (rest of space) can be covered at future colliders
AB,Cacciapaglia, McKay, Martin, Zerwekh
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Alexander Belyaev 28
Minimal Vector (Isotriplet) Dark Matter
Disappearing Charged Tracks from DMThe small mass gap between (~ pion mass) DM and its charged partner will lead to the disappearing charge tracks
The life-time should be properly evaluated using W-pion mixing