Lisa Randall Harvard University lirarandall What do we know about dark matter It has gravitational interactionsof matter Gravitational lensing Rotation curves in galaxies Detailed measurements of energy abundancestotal and normal matter ID: 547286
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Slide1
What is dark Matter?
Lisa Randall
Harvard University
@
lirarandall
Slide2
What do we know about dark matter?It has gravitational interactions—of matter!
Gravitational
lensing
Rotation curves in galaxies
Detailed measurements of energy abundances—total and normal matter
It has no other discernible interactions
It’s not dark—it’s effectively transparent!
Hopes to see it based on it being a little opaque…Slide3
So…What Is It?Clearly we don’t yet knowFor a long time WIMP “miracle” has been the reigning paradigm
Now in position to test it fairly well
So far no sign…
We need to consider all possibilities
Does it interact as we might hope?Slide4
Dark MatterFor a long time WIMP “miracle” has been the reigning paradigmNow in position to test it fairly well
So far not looking promising
Though some hints…
Also particular models challenging to make fit
SUSY heavy?
Worth asking if we really understand dark matter
Does it interact as we might hope?Slide5
WIMP “Miracle”Slide6
How to search?Searches based on somewhat optimistic assumptionsNamely dark matter does interact with our matter at some level
In principle could be purely gravity coupling
We see that already!
But does it have other interactions?
Talk today: reasons to think it might
And alternatives to standard WIMP paradigm
Asymmetric dark matter/
Xogenesis
Partially interacting dark matter Slide7
Lampposts for Dark Matter?
Existence of dark matter not necessarily so mysterious
Why should everything be like our matter?
What is mysterious is that energy stored in dark matter and ordinary matter so similar
But how to find what it is?
Look under the lamppost
Find theoretical, experimental clues
What are the right lampposts?Slide8
Experimental Lampposts: Direct DetectionLook for low probability dark matter interactions with large detectors
Look for small nuclear recoil
Good way to look for a well-motivated class of candidates (WIMPs)
We haven’t seen it yet
Waiting for more sensitive searchesSlide9
Experimental Lampposts: LHCLHC: Look for evidence of a stable particle with weak scale mass
Remarkably, has the right energy density to constitute dark matter
Such a particle likely in ANY weak scale model that supplements Higgs theory
WIMP not necessarily
supersymmetric
!
Any stable weak scale particle can be a candidate
We haven’t yet seen beyond Higgs
Waiting for higher energies, more intensity
Don’t yet know if this lamppost in the right regionSlide10
Experimental Lampposts: Indirect SearchesIndirect SearchesRather than directly interact with nuclei,
Dark matter particle hits another dark matter particle and annihilates
Hope is
This happens often enough
Annihilation produces Standard Model particles
The kind we can detect
Not dark!
Focus on any signal that is distinguishable from astrophysical backgroundSlide11
Indirect SearchesFocus on what is less likely to occur in ordinary astrophysical settings
Antiparticles
AMS:
antideuteron
Gamma ray signals
Particularly gamma ray lines
Continuum from stars
Lines direct consequence of annihilation
Observations have seen a lot!
Need to determine
What really is not background
What models of dark matter can produce such signalsSlide12
Indirect DetectionExciting thing about Indirect Detection Is the many signals
Has precipitated better understanding of astrophysics
And of range of dark matter models
I’ll talk about one motivated by Fermi satellite “signal” soon
Again, general lessons whether or not signal survives
Important to understand range of reasonable models
Part of art is deciding what is reasonable
Interesting
Has consequencesSlide13
Status of WIMP searches?Direct dark matter detectionLook for feeble interactions
LHC searches
Look for missing energy indicating
noninteracting
weak-mass particle produced
Neither has seen anything yet
But both are increasing sensitivity
Dark matter “vats” becoming bigger
LHC exploring higher energy and higher intensity (sensitive to lower probability)
Both are importantSlide14
Lampposts: theoreticalMost-researched candidates are WIMPS
WIMPS have weak-scale mass
That is mass such that it can be produced at LHC
Doesn’t have to have anything to do with
supersymmetry
Any weak mass stable particle could yield correct abundance
And if connected to weak scale have reason to believe will be produced
WIMP—coincidence that weak mass particle has measured abundance?Slide15
But another theoretical lamppost?Similarity of amount of energy in dark matter and ordinary matter
Maybe matter and dark matter are produced in similar ways?
Excess “matter” over “antimatter”Slide16
Xogenesis/Asymmetric Dark Matter ModelsKey observation:
r
X
~6
r
B
Why should dark matter and ordinary matter energy densities be at all comparable?
Could just be independently generated—
baryogenesis
somehow and weak miracle
On other hand, maybe clue their origin is in fact relatedSlide17
Three Papers
Xogenesis
w/ Matthew Buckley
Asymmetric Dark Matter
Dark matter produced first
Weak scale dark matter still natural
Emergent Dark Matter and Baryon/Lepton Numbers
w/
Yanou
Cui, Brian
Shuve
Natural models explaining ADM
Alternative explanation:
WIMPy
Baryogenesis
w/
Yanou
Cui, Brian
Shuve
WIMP annihilation trigger for
baryogenesis
WIMPs annihilate and lepton/baryon number created togetherSlide18
All Sorts of Miracles PossibleAsymmetric Dark MatterMake B, Transfer B to X,
n
B
~n
X
, light DM
Zurek,Luty,Kaplan
Hylogenesis
Make B, X together
n
B
~n
X
, light DM
Morrissey,
Tulin
, Hall, March-Russell
Darkogenesis
, Dark Genesis
Make X, Transfer X to B
n
B
~n
X
, light DM
Shelton,
Zurek
Xogenesis
Make X, Transfer X to B,
n
B
<
n
X
, weak scale DM
Buckley, LR
Xogenesis
’
Make X, B,
nB<nX, weak scale DMCui, Kahawala,LR, Shuve
Weak Scale Dark Matter
Light Dark MatterSlide19
Xogenesis: New Class of Models
Asymmetric Dark Matter
Create dark matter first
Then transfer asymmetry from dark matter to matter
Can be weak scale
Can be light
Baryon number and Dark matter number could be connected in early universe
Produce both at the same timeSlide20
Asymmetric Dark Matter
Explain connection dark matter and ordinary matter energy densities
Dark matter energy similar in spirit to that of baryons
Asymmetry in dark matter density; not thermal
Need interactions between baryons and dark matter to explain the similar relative size
Chemical potentials related
Number densities are too
nB~nX
;
Nonrelativistic
solution allows more general possibilities
Xogenesis
And DM created firstSlide21
Can nature do better?ADM compellingBut origin of operators that mix two sectors?
Higher-dimensional operators can violate both L (or B) and DM numbers
Don’t necessarily expect L, X conservation in early universeSlide22
Light Dark Matter: “Relativistic Solution”Chemical equilibrium between B or L and X
Net asymmetry
Ratio chemical
potential~ratio
number
density~ratio
energy densitySlide23
Weak Scale (or Heavy) Dark Matter“Nonrelativistic Solution”
More generally
Number density suppressed for m>>TSlide24
Nonrelativistic SolutionNeed to solve
Number density of X less than B
Chemical, but no longer thermal equilibrium
Allows for different massesSlide25
Naturalness allows hierarchy of order 10Right ratio of densities found for wide range of m/T
Usually need m/T~10, which is quite reasonable
Expect comparable densities over the whole rangeSlide26
Emergent Lepton and Dark matter NumbersAre B and X conserved? Maybe not in early universe
Transfer and then restore
Two
Higgses
, Modulus decay, higher-dimensional operators
w/Cui,
ShuveSlide27
Another OptionWIMPy baryogenesis
Creates dark matter density inversely proportional to annihilation cross section
As conventional
Baryon density proportional to dark matter density AT WASHOUT FREEZEOUTSlide28
Detection ProspectsSlide29
Other interesting possibilities?Lots of attention devoted to dark matterBoth theory and detection
Sometimes signals are unexpected
They might be wrong
They might lead to interesting unexplored options
Surprisingly, unexplored option:
Interacting dark matter
But rather than assume all dark matter
Assume it’s only a fraction (maybe like baryons?)
w/
fan,katz,reeceSlide30
Since we don’t know what dark matter isShould keep an open mindEspecially in light of abundance of astronomical data
Today talk about Self-interacting dark matter
But rather than assume all dark matter
Assume it’s only a fraction
maybe like baryons?
Nonminimal
assumption
But one with significant consequences
Will be tested
In any case leads to rethinking of implications of almost all dark matter, astronomical, cosmological measurementsSlide31
On the surface surprising…Dark matter thought to be non-interactingOr at best very weakly interacting
First piece of evidence is spherical halo
No means of cooling down
Second piece of evidence is some
nonsphericity
in core
Interactions would make it more uniform
Third piece of evidence is Bullet Cluster
Gas left behind on merger but dark matter passes right through
Finally: lack of detection
That of course just refers to interactions with ordinary matter
Doesn’t tell about self-interactionsSlide32
This changes everything!Almost all constraints on interacting dark matter assume it is the dominant component
If it’s only a fraction, we’ll see most bounds generally don’t apply
structure
Galaxy or cluster interactions
But if a fraction, you’d expect even smaller signals!
However, not necessarily true…Slide33
Turns out none of these two serious anyway
But for us even less so
Clearly Bullet Cluster okay if only a fraction –most dark matter would pass through
Shapes
tricker
—but even if the fraction very strongly interacting, can smooth out only that fraction at first
Maybe? This is something that could be interesting to better understandSlide34
Strongest Bound (for us)Just comes from matter accountingGravitational potential measuredBoth in and out of plane of galaxy
Measured from star velocities
Baryonic matter independently constrained
Ordinary dark matter constrained
Extrapolate halo
Total constraint on matter
Constrains any new (
nonhalo
) component
Slide35
Strongest bound (when paper written):Oort LimitSlide36
ImplicationIf dark matter interacts, eitherReasonably strong constraintsActually not all that strong…
Or it’s not all the dark matter!
At most about baryonic energy density or fraction thereofSlide37
Why would we care?Implications of a subdominant componentCan be relevant for signals if it is denser
Can be relevant for structure (to be done…)
Depends on “shape”
Baryons matter because formed in a dense disk
Perhaps same for
componen
t of dark matter
Perhaps dark disk inside galactic plane
However, to generate a disk, cooling required
Baryons cool because they radiate
They thereby lower kinetic energy and velocity
Get confined to small vertical region
Disk because angular momentum conservedSlide38
Could interacting dark matter also cool into a disk?Requires a means of dissipating energyAssume interacting component has the requisite interaction
Simplest option perhaps independent gauge symmetry
“Dark light”
Could be U(1) or a
nonabelian
group
U(1) has fewer DOF: good for “neutrino constraint”
Nonabelian
permits formation of stable dark atoms
Also good for U(1) mixing constraint
Check when enough cooling can occur to form a disk
Most interesting possibilitySlide39
Simple PIDM ModelU(1)D,
α
D
Two matter fields: a heavy
fermion
X and a light
fermion
C
For “coolant” as we will see
q
X
=1,
q
C
=-1
(In principle, X and C could also be scalars)
Also interesting will be
nonabelian
generalization SU(N)
D
X fundamental, C
antifundamental
Assume confinement scale below relevant cooling tempsSlide40
Relic Density X
Won’t violate
Oort
Limit with big enough alpha—reasonable valuesSlide41
Density of C?Thermal abundance of C will however be too smallWill expect both thermal and
nonthermal
contributions to X
Nonthermal
to CSlide42
Thermal and NonthermalIn principle other processes to produce CStill would annihilate away
Unless bound with X
Possible in
nonabelian
scenarios
We make simpler assumption of
nonthermal
component
Interesting that thermal component of X naturally survives as wellSlide43
Cooling: Three cooling processes can be relevant
Bremsstrahlung
Compton scattering off dark photons
Recombination cooling (only relevant when an additional light species, which we will need)
Heating processes (since that’s when cooling stops!)
For normal matter,
photoionization
Gravitational heating (small)
Compton heating can be relevant for us
At very least will be recombination, which stops
brehmstrahllung
and Compton
We make assumption that cooling stops when recombination can occurSlide44
Cooling for reasonable parametersSlide45
When does it stop?Presumably when dense enough no longer ionizedCooling very suppressed at that point (?)
This would be nice to simulate
How thickened will disk become?Slide46
Cooling temp determines disk height And therefore density of new componentSlide47
Disk HeightIn reality, gravitational heating can occurReasonable to assume disk height betweenm
P
/
m
X
---1 times baryonic disk height
Can be very narrow disk
For 100
GeV
particle, can get boost factor of 10,000!Slide48
ConsequenceCan have dark atomsDark disk
Could be much denser and possibly titled with respect to plane of our galaxy
Very significant implications
Even though subdominant component
Velocity distributions in or near galactic plane constrain fraction to be comparable or less to that of baryons
But because it is in disk and dense signals can be richSlide49
Implication?Photons from plane of galaxy!Not only center but unassociated sources throughout plane would be expectedSeems rather specific to this type of model
Component of dark matter sitting in small disk in plane of galaxy
Furthermore will affect structure
formatoin
Work not yet in progress….Slide50
I:Interacting Dark Matter and Indirect SignalsAn enormous boost factor is needed to account for any indirect signal so farEg
Of order 1000 for reasonable parameters for Fermi signal
Too high to assume clumping
But what if dark matter actually had structure?
Like baryons for example!
Consider interacting dark matter
Dissipative dark matter in particular
Idea is to have more collapsed component of dark matter
Even if only a fraction of dark matter, will be most important for signalsSlide51
Distinctive Shape to SignalSlide52
IIIMany Other ConsequencesThings to think about
New species (Planck can detect)
Possibly small scale structure
Atomic
physicbs
Numerical simulations (structure, alignment)
Velocity distributions,
lensing
(look for structure)
Large scale structure
Acoustic Oscillations
galaxy-galaxy correlation
funcionts
Indirect detection
Direct detection (at very low threshold)
Aside:
anthropic
limitsSlide53
ConclusionsWhether or not 130 GeV signal survives,
Very interesting new possibility for dark matter
That one might expect to see signals from
Since in some sense only minor modification (just a fraction of dark matter)
hard to know whether or not it’s likely
But presumably would affect structure
Just like baryons do
Research area
Rich arena: lots of questions to answerSlide54
AlsoInteresting to explore slightly more complex dark matter sectorsEven if not dominant component, new species can have significant observable signals to distinguish it
I know what everyone wants to know is when we will see dark matter
Answer could be sooner--or later--than we think!Slide55
Extra slidesSlide56
Motivation: Gamma Ray Signal
Neal Weiner’s talkSlide57
Motivation: Fermi LinesFinkbeiner
,
SugSlide58
Motivation: Fermi 130 GeV line
Suppose you want to explain Fermi signal with dark matter
If you also assume relic thermal abundance want annihilation into something to be about an order of magnitude bigger
However can’t annihilate into charged particles since the signal would already rule it out
One option is to annihilate to photons through a loop of charged particle that is
kinematically
inaccessibleSlide59
Can Dark Matter Explain Signal?Clearly an enormous boost factor is needed
Of order 100-1000 for reasonable parameters
Too high to assume clumping
But what if dark matter actually had structure?
Like baryons for example!
So we consider interacting dark matter
Dissipative dark matter in particular
Idea is to have more collapsed component of dark matter
Even if only a fraction of dark matter, will be most important for signalsSlide60
Density enhancementConsider possibility that due to interactions, portion of dark matter (like baryons) collapses into a disk
Involves
Dark force (we take U(1)
D
)
Additional light particles in dark sector
Necessary for cooling in time
Even if new component a fraction of dark matter, if it collapsed to baryonic disk (
eg
) enhancement factors ~100—10,000Slide61
Disk HeightReasonable to assume disk height between
m
P
/
m
X
---1 times baryonic disk height
Can be very narrow disk
For 100
GeV
particle, can get boost factor of 10,000!Slide62
Implication?Photons from plane of galaxy!Not only center but unassociated sources throughout plane would be expected
Seems rather specific to this type of model
Component of dark matter sitting in small disk in plane of galaxy
Furthermore will affect structure formationSlide63
Many Other ConsequencesNew species (Planck can detect)Possibly small scale structure
Velocity distributions,
lensing
(look for structure)
Acoustic Oscillations
Indirect detection
Direct detection (at very low threshold)
Many ways to search and constrainSlide64
StatusWhether or not 130 GeV
signal survives,
Very interesting new possibility for dark matter
That one might expect to see signals from
Since in some sense only minor modification (just a fraction of dark matter)
hard to know whether or not it’s likely
But presumably would affect structure
Just like baryons do
Research area
Rich arena: lots of questions to answerSlide65
Summary
Clearly dark matter experiments telling us something
If we find evidence soon could be great vindication of WIMP scenario
If we don’t we’ll still want to know what it means
Perhaps we have been too focused on conventional WIMPs?
Other coincidences worth exploring and explaining
ADM
Xogenesis
(weak scale)
Emergent
WIMP annihilation connected to
leptogenesis
Usually tradeoff between
genericness
of model and parameter space
Admittedly much more challenging for experiment
But nature ultimately decides…