Title: State of the dark universe report
1State of the (dark) universe report
- Uros Seljak
- Zurich/ICTP/Princeton
- Heidelberg, november 7, 2006
2Outline
- Methods to investigate dark energy and dark
matter SN, CMB, galaxy clustering, cluster
counts, weak lensing, Lya forest - Current constraints what have we learned so far,
controversies - 3) What can we expect in the future?
3Context
- Conclusive evidence for acceleration of the
Universe. - Standard cosmological framework ? dark energy
(70 of mass-energy). - Possibility Dark Energy constant in space time
(Einsteins L). - Possibility Dark Energy varies with time (or
redshift z or a (1z)-1). - Impact of dark energy can be expressed in terms
of equation of state - w(a) p(a) / r(a) with w(a) -1 for L.
- Possibility GR or standard cosmological model
incorrect. - Whatever the possibility, exploration of the
acceleration of the Universe - will profoundly change our understanding of the
composition and nature - of the Universe.
4Contents of the universe (from current
observations)
Baryons (4) Dark matter (23) Dark energy 73
Massive neutrinos 0.1 Spatial curvature very
close to 0
5How to test dark energy/matter?
- Classical tests redshift- luminosity distance
relation (SN1A etc), redshift-angular diameter
distance, redshift-Hubble parameter relation
6Classical cosmological tests (in a new form)
Friedmanns (Einsteins) equation
7How to test dark energy/matter?
- Classical tests redshift-distance relation (SN1A
etc) - Growth of structure CMB, Ly-alpha, weak lensing,
clusters, galaxy clustering
8Growth of structure by gravity
- Perturbations can be measured at different
epochs - CMB z1000
- 21cm z10-20 (?)
- Ly-alpha forest z2-4
- Weak lensing z0.3-2
- Galaxy clustering z0-1 (3?)
- Sensitive to dark energy, neutrinos
9How to test dark energy/matter?
- Classical tests redshift-distance relation (SN1A
etc) - Growth of structure CMB, Ly-alpha, weak lensing,
clusters, galaxy clustering - Scale dependence of structure
10Scale dependence of cosmological probes
WMAP
CBI
ACBAR
Lyman alpha forest
SDSS
Complementary in scales and redshift
11Sound Waves from the Early Universe
- Before recombination
- Universe is ionized.
- Photons provide enormous pressure and restoring
force. - Perturbations oscillate as acoustic waves.
- After recombination
- Universe is neutral.
- Photons can travel freely past the baryons.
- Phase of oscillation at trec affects late-time
amplitude.
12This is how the Wilkinson Microwave Anisotropy
Probe (WMAP) sees the CMB
13Determining Basic Parameters
Angular Diameter Distance w -1.8,..,-0.2 When
combined with measurement of matter density
constrains data to a line in Wm-w space
14Determining Basic Parameters
Matter Density Wmh2 0.16,..,0.33
15Determining Basic Parameters
Baryon Density Wbh2 0.015,0.017..0.031 also
measured through D/H
16Current 3 year WMAP analysis/data situation
Current data favor the simplest scale invariant
model
17Galaxy and quasar survey
400,000 galaxies with redshifts
18Sloan Digital Sky Survey (SDSS)
- 2.5 m aperture
- 5 colors ugriz
- 6 CCDs per color, 2048x2048, 0.396/pixel
- Integration time 50 sec per color
- Typical seeing 1.5
- Limiting mag r23
- current 7000 deg2 of imaging data, 40 million
galaxies - 400,000 spectra (rlt17.77 main sample, 19.1
QSO,LRG)
Image Credit Sloan Digital Sky Survey
19Galaxy power spectrum shape analysis
Galaxy clustering traces dark matter on large
scales Current results redshift space power
spectrum analysis based on 200,000 galaxies
(Tegmark etal, Pope etal), comparable to 2dF
(Cole etal) Padmanabhan etal LRG power spectrum
analysis, 10 times larger volume, 2 million
galaxies Amplitude not useful (bias unknown)
Nonlinear scales
20Are galaxy surveys consistent with each other?
Some claims that SDSS main sample gives more than
2 sigma larger value of W
Fixing h0.7
SDSS LRG photo 2dF SDSS main spectro
Bottom line no evidence for discrepancy, new
analyses improve upon SDSS main
21Acoustic Oscillations in the Matter Power Spectrum
- Peaks are weak suppressed by a factor of the
baryon fraction. - Higher harmonics suffer from diffusion damping.
- Requires large surveys to detect!
Linear regime matter power spectrum
22A Standard Ruler
- The acoustic oscillation scale depends on the
matter-to-radiation ratio (Wmh2) and the
baryon-to-photon ratio (Wbh2). - The CMB anisotropies measure these and fix the
oscillation scale. - In a redshift survey, we can measure this along
and across the line of sight. - Yields H(z) and DA(z)!
23Baryonic wiggles
Best evidence SDSS LRG spectroscopic sample
(Eisenstein etal 2005), about 3.5 sigma
evidence SDSS LRG photometric sample
(Padmanabhan, Schlegel, US etal 2005) 2.5 sigma
evidence
24To perturb or not to perturb dark energy
- Should one include perturbations in dark energy?
- For w-1 no perturbations
- For wgt-1 perturbations in a single scalar field
model with canonical kinetic energy, speed of
sound c - Non-canonical fields may give speed of sound ltltc
- For wlt-1 (phantom model) one can formally adopt
the same, but the model has instabilities - For w crossing from lt-1 to gt-1 it has been argued
that the perturbations diverge however, no
self-consistent model based on Lagrangian exists - There is a self-consistent ghost condensate model
that gives wlt-1 (Creminelli etal 2006) and
predicts no perturbations in DE sector
25Weak Gravitational Lensing
Distortion of background images by foreground
matter
Unlensed Lensed
26Weak Lensing Large-scale shear
Convergence Power Spectrum 1000 sq. deg.
to R 27 Huterer
27Gravitational Lensing
Refregier et al. 2002
- Advantage directly measures mass
- Disadvantages
- Technically more difficult
- Only measures projected mass-distribution
- Intrinsic alignments?
Tereno et al. 2004
28Possible sources of systematic error
- PSF induced errors rounding (need to calibrate),
ellipticity (use stars) - Shear selection bias rounder objects can be
preferentially selected - Noise induced bias conversion from intensity to
shear nonlinear - Intrinsic correlations
- STEP2 project bottom line current acccuracy at
5 level, plenty of work to do to reach 1 level,
not clear 0.1 even possible
29Shear-intrinsic (GI) correlation
Hirata and US 2004
- Same field shearing is also tidally distorting,
opposite sign - What was is now , possibly an order of
magnitude increase - Cross-correlations between redshift bins does not
eliminate it - B-mode test useless (parity conservation)
- Vanishes in quadratic models
Lensing shear
Tidal stretch
30Intrinsic correlations in SDSS
Mandelbaum, Hirata, Ishak, US etal 2005
300,000 spectroscopic galaxies No evidence for
II correlations Clear evidence for GI
correlations on all scales up to 60Mpc/h Gg
lensing not sensitive to GI
31Implications for future surveys Mandelbaum etal
2005, Hirata and US 2004
Up to 30 for shallow survey at z0.5 10 for
deep survey at z1 current surveys underestimate
s8 More important for cross-redshift bins
32Galaxy clustering power spectrum shape
Galaxy clustering traces dark matter on large
scales Current results redshift space power
spectrum analysis based on 200,000 galaxies
(Tegmark etal, Pope etal, 2dF (Cole
etal) Padmanabhan etal LRG photometric power
spectrum analysis, 10 times larger volume, 2
million galaxies LRG spectro analysis Tegmark
etal, Eisenstein etal, Percival etal Amplitude
not useful (bias)
Nonlinear scales
33Galaxy bias determination
- Galaxies are biased tracers of dark matter the
bias is believed to be scale independent on large
scales (klt0.1-0.2/Mpc) - If we can determine the bias we can use galaxy
power spectrum to determine amplitude of dark
matter spectrum s8 - High accuracy determination of s8 is important
for dark energy constraints - Weak lensing is the most direct method
34galaxy-galaxy lensing
- dark matter around galaxies induces tangential
distortion of background galaxies extremely
small, 0.1 - Useful to have redshifts of foreground galaxies
SDSS Express signal in terms of projected surface
density and transverse r - Signal as a function of galaxy luminosity, type
35Galaxy-galaxy lensing measures galaxy-dark matter
correlations
Goal lensing determines halo masses (in fact,
full mass distribution, since galaxy of a given L
can be in halos of different mass) Halo mass
increases with galaxy luminosity SDSS gg 300,000
foreground galaxies, 20 million background,
S/N30, the strongest weak lensing signal to date
testing ground for future surveys such as
LSST,SNAP
Seljak etal 2004
36dark matter corr function
On large scales galaxies trace dark matter
G-g lensing in combination with
autocorrelation analysis gives projected dark
matter corr. function Mandelbaum, US etal,
in prep
37WMAP-LSS cross-correlation ISW
- Detection of a signal indicates time changing
gravitational potential evidence of dark energy
if the universe IS flat. - Many existing analyses (Boughn and Crittenden,
Nolta etal, Afshordi etal, Scranton etal,
Padmanabhan etal) - Results controversial, often non-reproducible and
evidence is weak - Future detections could be up to 6(10?) sigma,
not clear if this probe can play any role in
cosmological parameter determination
38WMAP-SDSS cross-correlation ISW N. Padmanabhan,
C. Hirata, US etal 2005
- 4000 degree overlap
- Unlike previous analyses we combine with
auto-correlation bias determination (well known
redshifts)
39Consistent with other probes
40Counting Clusters of Galaxies
Sunyaev Zeldovich effect X-ray emission from
cluster gas Weak Lensing
Simulations
growth factor
41Cosmic complementarity Supernovae, CMB, and
Clusters
42Ly-alpha forest as a tracer of dark matter
Basic model neutral hydrogen (HI) is determined
by ionization balance between recombination of e
and p and HI ionization from UV photons (in
denser regions collisional ionization also plays
a role), this gives Recombination coefficient
depends on gas temperature Neutral hydrogen
traces overall gas distribution, which traces
dark matter on large scales, with additional
pressure effects on small scales (parametrized
with filtering scale kF) Fully specified within
the model, no bias issues
43SDSS Lya power spectrum analysis McDonald, US
etal 2005
- Combined statistical power is better than 1 in
amplitude, comparable to WMAP - 2ltzlt4 in 11 bins
- ?2 129 for 104 d.o.f.
- A single model fits the data over a wide range of
redshift and scale
Ly-alpha helps by reducing degeneracies between
dark energy and other parameters that Lya
determines well (amplitude, slope) Direct
search for dark energy at 2ltzlt4 reveals no
evidence for it
44The amplitude controversy
- Some probes, Ly-alpha, weak lensing, SZ clusters
prefer high amplitude (sigma_8gt0.85) - Other probes, WMAP, X-ray cluster abundance,
group abundance prefer low amplitude
(sigma_8lt0.75) - Statistical significance of discrepancy is
2.5?-sigma or less - For the moment assume this is a statistical
fluctuation among different probes and not a sign
of a systematic error in one or more probes
45Putting it all together
- Dark matter fluctuations on 0.1-10Mpc scale
amplitude, slope, running of the slope - Growth of fluctuations between 2ltzlt4 from Lya
- Lya very powerful when combined with CMB or
galaxy clustering for inflation (slope, running
of the slope), not directly measuring dark energy
unless DE is significant for zgt2 - still important because it is breaking
degeneracies with other parameters and because it
is determining amplitude at z3.
US etal 04, 06
46Dark energy constraints complementarity of
tracers
US, Slosar, McDonald 2006
47 DE constraints degeneracies and dimension of
parameter space
48Time evolution of equation of state w
Individual parameters very degenerate
49Time evolution of equation of state
- w remarkably close to -1
- Best constraints at pivot z0.2-0.3, robust
against adding more terms - error at pivot the same as for constant w
- Perturbations switched off
50What if GR is wrong?
- Friedman equation (measured through distance) and
growth rate equation are probing different parts
of the theory - For any distance measurement, there exists a w(z)
that will fit it. However, the theory can not
fit growth rate of structure - Upcoming measurements can distinguish Dvali et
al. DGP from GR (Ishak, Spergel, Upadye 2005) - (But DGP is already ruled out)
51A look at neutrinos
- Neutrino mass is of great importance in particle
physics (are masses degenerate? Is mass hierarchy
inverted?) large next generation experiments
proposed (KATRIN) - Neutrino free streaming inhibits growth of
structure on scales smaller than free streaming
distance - If neutrinos have mass they are dynamically
important and suppress dark matter as well, 50
suppression for 1eV mass - For m0.1-1eV free-streaming scale is gt10Mpc
- Neutrinos are quasi-relativistic at z1000 CMB
is also important, opposite sign
m0.15x3, 0.3x3, 0.6x3, 0.9x1 eV
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56New limits on neutrino mass
- WMAP3SDSS LyaSDSS2dFSN 6p
- Together with SK and solar limits
- Lifting the degeneracy of neutrino mass
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58Neutrino as dark matter
- Initial conditions set by inflation (or something
similar) - Neutrino free streaming erases structure on
scales smaller than free streaming distance - For neutrino to be dark matter it must have short
free streaming length low temperature or high
mass - We can put lower limit on mass given T model
- One possibility to postulate a sterile neutrino
that is created through mixing from active
neutrinos. This is natural in a 3 right handed
neutrinos setting, two are used to generate mass
for LH, 3rd can be dark matter. To act like CDM
need high mass, gtkeV. To suppress its abundance
need small mixing angle, Qlt0.001, never
thermalized
59Sterile neutrino as dark matter
- A sterile neutrino in keV range could be the dark
matter and could also explain baryogenesis,
pulsar kicks, seems very natural as we need
sterile neutrinos anyways (Dodelson and Widrow,
Asaka, Shaposhnikov, Kusenko, Dolgov and Hansen) - However, a massive neutrino decays and in keV
range its radiative decays can be searched for in
X-rays. If the same mixing process is responsible
for sterile neutrino generation and decay then
the physics is understood (almost, most of the
production happens at 100MeV scale and is close
or above QCD phase transition) - Strongest limits come from X-ray background and
COMA/Virgo cluster X-rays and our own galaxy,
absence of signal gives mlt3.5-8keV (Abazajian
2005, Boyarsky etal 2005)
60Sterile neutrino as dark matter
- To proceed we need to specify the model assume
no generation of sterile neutrinos above GeV, no
lepton asymmetry enhancements, only production
through mixing - First approximation production independent of
momentum - calculations in Abazajian (2005) give more
accurate momentum distribution 10 weaker mass
constraints relative to previous calculations
which assume momentum distribution is the same as
active - The limits for this model can be easily modified
to other models (mirror, thermal, entropy
injection from massive steriles etc)
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63Results and implications
- Combined with the 6keV (COMA), 8-9keV (Virgo,
X-ray background) upper limit from radiative
decays THIS model is excluded - How do the constraints change with possible
entropy injection that dilutes sterile neutrinos
relative to CMB photons/active neutrinos? - T is decreased relative to CMB, neutrinos are
colder - Dilution requires larger mixing angle for same
matter density, so decay rate higher, which
makes X-ray constraints tighter - This does not open up the window
- To solve the model need to generate neutrinos
with additional interactions at high energies
above GeV
64Future Dark Energy Prospects
Based on dark energy task force
65Future as seen by the dark side of the universe
task force
- Members
- Andy Albrecht, Davis
- Gary Bernstein, Penn
- Bob Cahn, LBNL
- Wendy Freedman, OCIW
- Jackie Hewitt, MIT
- Wayne Hu, Chicago
- John Huth, Harvard
- Mark Kamionkowski, Caltech
- Rocky Kolb, Fermilab/Chicago
- Lloyd Knox, Davis
- John Mather, GSFC
- Suzanne Staggs, Princeton
- Nick Suntzeff, NOAO
66Goals and Methodology
- The goal of dark-energy science is to determine
the very nature of the dark - energy that causes the Universe to accelerate
and seems to comprise - most of the mass-energy of the Universe.
- Toward this goal, our observational program must
- Determine as well as possible whether the
accelerated expansion is - consistent with being due to a cosmological
constant. - If it is not due to a constant, probe the
underlying dynamics by - measuring as well as possible the time evolution
of dark energy, for - example by measuring w(a) our parameterization
is w(a) w0 wa(1 - a). - Search for a possible failure of GR through
comparison of cosmic - expansion with growth of structure.
- Goals of dark-energy observational program
through measurement of - expansion history of Universe dL(z) , dA(z) ,
V(z), and through measurement - of growth rate of structure. All described by
w(a). If failure of GR, possible - difference in w(a) inferred from different types
of data.
67Goals and Methodology
- To quantify progress in measuring properties of
dark energy we define - dark energy figure-of-merit from combination of
uncertainties in w0 and wa. - Use of statistical (Fisher-matrix) techniques
- incorporating CMB and H0 information to predict
future performance. - Our considerations follow developments in Stages
- What is known now (12/31/05).
- Anticipated state upon completion of ongoing
projects. - Near-term, medium-cost, currently proposed
projects. - Large-Survey Telescope (LST) and/or Square
Kilometer Array (SKA), - and/or Joint Dark Energy (Space) Mission (JDEM).
- Dark-energy science has far-reaching implications
for other fields of - physics ? discoveries in other fields may point
the way to understanding - nature of dark energy (e.g., evidence for
modification of GR).
68Fifteen Findings
- Four observational techniques dominate future
proposals - Baryon Acoustic Oscillations (BAO) large-scale
surveys measure features in distribution of
galaxies. BAO dA(z) and H(z). - Cluster (CL) surveys measure spatial distribution
of galaxy clusters. CL dA(z), H(z), growth of
structure. - Supernovae (SN) surveys measure flux and redshift
of Type Ia SNe. SN dL(z). - Weak Lensing (WL) surveys measure distortion of
background images due to garavitational lensing.
WL dA(z), growth of structure. - Different techniques have different strengths and
weaknesses and sensitive in different ways to
dark energy and other cosmo. parameters. - Each of the four techniques can be pursued by
multiple observational approaches (radio,
visible, NIR, x-ray observations), and a single
experiment can study dark energy with multiple
techniques. Not all missions necessarily cover
all techniques in principle different
combinations of projects can accomplish the same
overall goals.
69Techniques
- Four techniques at different levels of maturity
- BAO only recently established. Less affected by
astrophysical uncertainties than other
techniques. - CL least developed. Eventual accuracy very
difficult to predict. Application to the study of
dark energy would have to be built upon a strong
case that systematics due to non-linear
astrophysical processes are under control. - SN presently most powerful and best proven
technique. If photo-zs are used, the power of
the supernova technique depends critically on
accuracy achieved for photo-zs. If
spectroscopically measured redshifts are used,
the power as reflected in the figure-of-merit is
much better known, with the outcome depending on
the ultimate systematic uncertainties. - WL also emerging technique. Eventual accuracy
will be limited by systematic errors that are
difficult to predict. If the systematic errors
are at or below the level proposed by the
proponents, it is likely to be the most powerful
individual technique and also the most powerful
component in a multi-technique program.
70Systematics, Systematics, Systematics
A sample WL fiducial model
StatisticalSystematics
Statistical
71Fifteen Findings
- A program that includes multiple techniques at
Stage IV can provide an order-of-magnitude
increase in our figure-of-merit. This would be a
major advance in our understanding of dark
energy. - No single technique is sufficiently powerful and
well established that it is guaranteed to address
the order-of-magnitude increase in our
figure-of-merit alone. Combinations of the
principal techniques have substantially more
statistical power, much more ability to
discriminate among dark energy models, and more
robustness to systematic errors than any single
technique. Also, the case for multiple techniques
is supported by the critical need for
confirmation of results from any single method.
72w(a) w0 wa(1-a)
wa
- The ability to exclude L is better than
- it appears
- There is some z where limits on
- Dw are better than limits on Dw0
- Call this zp (p pivot) corresponding
- to Dwp
0
w0
-1
73wp
w(a) w0 wa(1-a)
Our figure of merit s (wp) ? s (wa)
-1.0
wa
0
74The Power of Two (or Three, or Four)
75Fifteen Findings
- Results on structure growth, obtainable from weak
lensing or cluster observations, are essential
program components in order to check for a
possible failure of general relativity.
76Fifteen Findings
- In our modeling we assume constraints on H0 from
current data and constraints on other
cosmological parameters expected to come from
measurement of CMB temperature and polarization
anisotropies. - These data, though insensitive to w(a) on their
own, contribute to our knowledge of w(a) when
combined with any of the dark energy techniques
we have considered. - Different techniques most sensitive to different
cosmo. parameters. - Increased precision in a particular cosmological
parameter may benefit one or more techniques.
Increased precision in a single technique is
valuable for the important procedure of comparing
dark energy results from different techniques. - Since different techniques have different
dependences on cosmological parameters, increased
precision in a particular cosmological parameter
tends to not improve the figure-of-merit from a
multi-technique program significantly. Indeed, a
multi-technique program would itself provide
powerful new constraints on cosmological
parameters.
77Fifteen Findings
- In our modeling we do not assume a spatially flat
Universe. Setting the spatial curvature of the
Universe to zero greatly helps the SN technique,
but has little impact on the other techniques.
When combining techniques, setting the spatial
curvature of the Universe to zero makes little
difference because the curvature is one of the
parameters well determined by a multi-technique
approach. - Experiments with very large number of objects
will rely on photometrically determined
redshifts. The ultimate precision that can be
attained for photo-zs is likely to determine the
power of such measurements.
78Systematics
- Our inability to forecast reliably systematic
error levels is the biggest impediment to judging
the future capabilities of the techniques. We
need - BAO Theoretical investigations of how far into
the non-linear regime the data can be modeled
with sufficient reliability and further
understanding of galaxy bias on the galaxy power
spectrum. - CL Combined lensing and Sunyaev-Zeldovich and/or
X-ray observations of large numbers of galaxy
clusters to constrain the relationship between
galaxy cluster mass and observables. - SN Detailed spectroscopic and photometric
observations of about 500 nearby supernovae to
study the variety of peak explosion magnitudes
and any associated observational signatures of
effects of evolution, metallicity, or reddening,
as well as improvements in the system of
photometric calibrations. - WL Spectroscopic observations and narrow-band
imaging of tens to hundreds of thousands of
galaxies out to high redshifts and faint
magnitudes in order to calibrate the photometric
redshift technique and understand its
limitations. It is also necessary to establish
how well corrections can be made for the
intrinsic shapes and alignments of galaxies,
removal of the effects of optics (and from the
ground) the atmosphere and to characterize the
anisotropies in the point-spread function.
79Future Probes
- Four types of next-generation projects have been
considered - an optical Large Survey Telescope (LST), using
one or more of the four techniques - an optical/NIR JDEM satellite, using one or more
of four techniques - an x-ray JDEM satellite, which would study dark
energy by the cluster technique - a Square Kilometer Array, which could probe dark
energy by weak lensing and/or the BAO technique
through a hemisphere-scale survey of 21-cm
emission - Each of these projects is in the 0.3-1B range,
but dark energy is not the only (in some cases
not even the primary) science that would be done
by these projects. - Each of these projects considered (LST, JDEM, and
SKA) offers compelling potential for advancing
our knowledge of dark energy as part of a
multi-technique program. The technical
capabilities needed to execute LST and JDEM are
largely in hand.
80Findings
- The Stage IV experiments have different risk
profiles - SKA would likely have very low systematic errors,
but needs technical advances to reduce its cost.
The performance of SKA would depend on the
number of galaxies it could detect, which is
uncertain. - Optical/NIR JDEM can mitigate systematics because
it will likely obtain a wider spectrum of
diagnostic data for SN, CL, and WL than possible
from ground, incurring the usual risks of a space
mission. - LST would have higher systematic-error risk, but
can in many respects match the statistical power
of JDEM if systematic errors, especially those
due to photo-z measurements, are small. An LST
Stage IV program can be effective only if photo-z
uncertainties on very large samples of galaxies
can be made smaller than what has been achieved
to date. - A mix of techniques is essential for a fully
effective Stage IV program. No unique mix of
techniques is optimal (aside from doing them
all), but the absence of weak lensing would be
the most damaging provided this technique proves
as effective as projections suggest. Combining
all information can lead to a factor of 3
improvement on w, w each.
81Conclusions
- Dark energy remarkably similar to cosmological
constant, w-1.04/- 0.06, no
evidence for w evolution or modified gravity - Best constraints achieved by combining multiple
techniques this is also needed to test
robustness of the results against systematics. - Dark matter best described as cold and
collisionless no evidence for warm dark matter
(sterile neutrinos) - Neutrinos not yet detected cosmologically, but
getting really close to limits from mixing
experiments unlikely to be degenerate and
inverted hieararchy is mildly disfavored (at one
sigma) - Future prospects many planned space and ground
based missions, this will lead to a factor of
several improvements in dark energy parameters
like w, w.