Upload
others
View
1
Download
0
Embed Size (px)
Citation preview
Galaxy Clusters as Tele-ALP-scopes
Joseph Conlon, Oxford University
Bethe Institute,Bonn , 16th March 2016
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Thanks to my collaborators
This talk is based on fun and ongoing collaborations over the last 3years on a variety of topics concerning ALP-photon conversion invarious astrophysics environments (particularly galaxy clusters),with
Pedro Alvarez, Stephen Angus, Igor Buchberger, Michele Cicoli,Francesca Day, Nick Jennings, David Kraljic, Sven Krippendorf, M.C. David Marsh, Andrew Powell, Markus Rummel, LukasWitkowski
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Talk Structure
1. Axion-like Particles
2. Galaxy Clusters, and a → γ interconversion
3. The 3.5 keV line
4. Bounding ALPs via spectral distortions of cluster thermalbremsstrahlung spectrum
5. Dark Radiation and the Cluster Soft Excess
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
IAXION-LIKE PARTICLES
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Axion-Like Particles
Light, weakly coupled particles represent one of the mostinteresting ways to extend the Standard Model
◮ Search strategies entirely decoupled from collider physics
◮ Such particles (axion-like particles, hidden photons...) arisegenerically in string compactifications
◮ No immediate technological obstruction to searches
◮ Ability to probe the far UV using low energy experiments
◮ Plenty of (theoretical) low-lying fruit
◮ Several current interesting hints exist
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Axion-Like Particles
Basic ALP Lagrangian is
La−γ = −1
4FµνF
µν − 14M
aFµν F̃µν +
1
2∂µa∂
µa − 12m2aa
2.
For general axion-like particles M ≡ g−1aγγ and ma are unspecified.Will assume ma . 10
−12eV in this talk.
Coupling to electromagnetism is
1
MaE ·B
Direct bounds (ALP production in supernovae) areM & 2× 1011GeV.review Ringwald 1210.5081
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Bounds on ALP parameter space
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Axion-Like Particles
ALPs and photons interconvert in coherent magnetic fields.
In small angle limit,
P(a → γ) ∼ B2L2
4M2
Conversion
◮ Grows with B2 - big fields◮ Grows with L2 - coherent over large distances◮ Drops off with M2 - suppressed by weak couplings
Note heavy suppression (M−4) for any physics based onγ → a → γ - eg light shining through walls, solar axionproduction.....
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Seeing ALPs
ALP-to-photon conversion probability for ALP energy Ea intransverse magnetic field B⊥ of domain size L is:
P(a → γ) = sin2(2θ) sin2(
∆
cos 2θ
)
where
θ ≈ 2.8·10−5×(
10−3cm−3
ne
)(
B⊥
1 µG
)(
Ea
200 eV
)(
1014 GeV
M
)
,
∆ = 0.27×( ne
10−3cm−3
)
(
200 eV
Ea
)(
L
1 kpc
)
.
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Seeing ALPs
‘Astrophysical parameters’ at X-ray energies:
Small angle:Pa→γ ≡ 2Pγ→a = 2.0·10−5×(
B⊥
3 µG
L
10 kpc
1013 GeV
M
)2
.
‘Terrestrial parameters’ at X-ray energies:
Small angle:Pa→γ ≡ 2Pγ→a ≃ 2.0·10−23×(
B⊥
10T
L
10m
1013 GeV
M
)2
.
Astrophysical sources have more efficient conversion
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
IIGALAXY CLUSTERS
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Galaxy Clusters
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Galaxy Clusters
Galaxy clusters are:
◮ The largest virialised structures in the universe
◮ Typical size 1 Mpc, 100-1000 galaxies, total mass1014 ÷ 1015Msun.
◮ By mass 1 per cent galaxies, 10 per cent gas, 90 per cent darkmatter.
◮ Suffused by magneto-ionic plasma with Tgas ∼ 2÷ 10keV,emitting in X-rays via thermal bremsstrahlung
◮ Plasma is magnetised with B ∼ 1÷ 10µG(1÷ 10 · 10−10T )with coherence scales L ∼ 1÷ 10 kpc.
◮ Sit at the ‘large magnetic fields over large volumes’ frontier ofparticle physics.
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
The Coma Cluster in IR/Visible
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
The Coma Cluster in X-rays
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
The Coma Cluster in Gamma Rays
(Ando + Zandanel, 1312.1493)
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Seeing ALPs
ALPs convert to photons in coherent magnetic field domain: wantlarge magnetic fields supported over large volumes.
The cluster magnetic field B ∼ 1− 10µG is more thancompensated by coherence lengths L ∼ 1− 10kpc ∼ 1034GeV−1.Quantum mechanical coherence:
A(a → γ) ∝ L
P(a → γ) ∝ L2
For Ea ∼ 1keV and M ∼ 1013GeV, a relativistic ALP hasP(a → γ) ∼ 10−3 passing through a cluster.Converts energy to light 1000 times more efficiently than the sun....
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
ALP Propagation through Centre of Coma Cluster
Magnetic field model is best fit to Faraday rotation (Bonafede et al1002.0594):
◮ Magnetic field has Kolmogorov spectrum, |B(k)| ∼ k−11/3, generated betweenkmax =
2π2kpc
and kmin =2π
34kpc.
◮ Spatial magnetic field has Gaussian statistics.
◮ Central magnetic field 〈B〉r
ALP Propagation through Centre of Coma Cluster
100 200 300 400 500 600
0.1
1
10
Impact parameter @ Dkpc
XPa
ý\
@10
-4D
1 keV
600 eV
400 eV
200 eV
150 eV
100 eV
50 eV
25 eV
a → γ conversion probabilities for different ALP energies as afunction of radius from the centre of Coma with M = 1013GeV
Note the high suppression for Ea < 100eV
Angus JC Marsh Powell Witkowski 1312.3947
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
ALP Propagation through Clusters
Main Point: Even at M & 1011GeV, ALP-photon
interconversion in a cluster is unsuppressed.
Any primary population of relativistic ALPs will givea large photon signal
The population of X-ray photons can also‘disappear’ into ALPs
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
The inter-conversion of ALPs and photon inside galaxy clustersleads to interesting physics applications. Three studied so far are:
◮ An explanation of the Cluster Soft Excess through a primordialCosmic Axion Background, generated at the time of reheating,
converting to photons in the cluster magnetic field. (3)◮ A model for the 3.5 keV line (Bulbul et al) consistent with all
data and explaining why signal would be stronger in clusters(especially Perseus) and much weaker/absent in galaxies.
(1)◮ A method of searching for/ improving bounds on ALPs
through hunting for small-scale deviations of cluster X-ray
spectrum from thermal bremsstrahlung. (2)
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
IIIAPPLICATIONS ITHE 3.5 KEV LINE
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Dark Matter in X-rays?
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Dark Matter in X-rays?
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Dark Matter in X-rays?
Small signal on a large background...
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Dark Matter in X-rays?
Most detailed evidence for signal comes from analyses involvinggalaxy clusters
◮ Stacked sample of 73 clusters in Bulbul et al. paper
◮ Two XMM instruments - MOS and PN
◮ Individual subsamples of Perseus,Coma+Ophiuchus+Centaurus, All Others
◮ Perseus reconfirmed with deep Chandra observations, bothACIS-S and ACIS-I
◮ Boyarsk et al finds line in outskirts of Perseus cluster(XMM-MOS, XMM-PN)
◮ Line also found in M31 by Boyarsky et al
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Significance Counting
Sample Instrument ∆χ2 N
Bulbul et al.
Perseus XMM-MOS 15.7 1Coma + Centaurus + Ophiuchus XMM-MOS 17.1 1All others stacked (69 clusters) XMM-MOS 16.5 1All others stacked (69 clusters) XMM-PN 15.8 1
Perseus Chandra ACIS-I 11.8 2Perseus Chandra ACIS-S 6.2 1
Boyarsky et al.
Perseus outskirts XMM-MOS 9.1 2Perseus outskirts XMM-PN 8.0 2Andromeda galaxy XMM-MOS 13.0 2
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Data Evaluation
◮ (+) Line seen by four instruments (XMM-MOS, XMM-PN,Chandra ACIS-I, Chandra ACIS-S)
◮ (+) Line seen independently by two separate collaborations
◮ (+) Collaborations do not consist of BSM theorists
◮ (+) Line seen from at least five different sources at consistentenergy
◮ (+) Line absent in deep 16Ms blank sky observations
However - need excellent control over backgrounds:
◮ (-) Signal one percent above continuum
◮ (-) X-ray atomic lines from hot gas at similar energies
◮ (-) Detector backgrounds also generate X-ray lines
◮ (-) Effective area wiggles can mimic signal
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Dark Matter in X-rays?
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Dark Matter in X-rays?
Subsequently:
◮ No 3.5 keV line in Chandra data of Milky Way centre(1405.7943)
◮ 3.5 keV line in XMM-Newton data of Milky Way centre(1408.1699, 1408.2503) - K XVIII or dark matter?
◮ No line in M31 from 3-4 keV fit, bananas in clusters(1408.1699)
◮ No 3.5 keV line in dwarf spheroidals, stacked galaxies(1408.3531, 1408.4115)
◮ Yes line in M31, 3-4 keV fit lacks precision (1408.4388)
◮ No bananas in clusters - use correct atomic data instead(1409.4143)
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Dark Matter in X-rays?
Subsequently:
◮ Suzaku data also show line in Perseus, no line in Coma, Virgo,Ophiuchus (1411.0050)
◮ Perseus line strongest in centre of the cluster (1411.0050)
◮ XMM-Newton line in Perseus concentrated in cool core,galactic centre morphology incompatible with dark matter(1411.1758)
◮ Reply to comment on comment on..... (1411.1759)
◮ No/highly suppressed line in Draco
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Sterile Neutrino?
Sample Instrument sin2 2θ×10−11
All others stacked (69 clusters) XMM-MOS 6.0+1.1−1.4All others stacked (69 clusters) XMM-PN 5.4+0.8−1.3
Perseus XMM-MOS 23.3+7.6−8.9Perseus XMM-PN < 18 (90 %)
Coma + Centaurus + Ophiuchus XMM-MOS 18.2+4.4−5.9Coma + Centaurus + Ophiuchus XMM-PN < 11(90%)
Perseus Chandra ACIS-I 28.3+11.8−12.1Perseus Chandra ACIS-S 40.1+14.5−13.7
M31 on-centre XMM-Newton 2–20Stacked galaxies XMM-Newton < 2.5 (99%)Stacked galaxies Chandra < 5 (99%)Stacked dwarves XMM-Newton < 4 (95%)
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Sterile Neutrino?
Models of form DM → γ + X do not seem to fit the data.Challenges for BSM explanations:
◮ Clusters are special: signal stronger in clusters than in galaxies
◮ Nearby / cool-core clusters are special: signal is stronger thanin distant stacked sample
◮ Among galaxies, M31 is special
◮ Milky Way centre: dark matter or atomic physics?
Focus here on the DM → a → γ explanation (1403.2370 Cicoli, JC,Marsh, Rummel) that can explain all these features.
Model is DM → a + X followed by a → γ in transverse magneticfield
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
DM → a → γ
Proposal: DM decays to a monoenergetic 3.5 keV ALP, whichconverts to a 3.5 keV photon in astrophysical magnetic field.
Signal traces both magnetic field and the dark matter distribution
1. Clusters are special because magnetic field extends over 1Mpc compared to 30 kpc for galaxies.
2. Nearby clusters are special because field of view covers centralregion with largest B fields.
3. Cool-core clusters are special because they have large centralB fields.
4. M31 is special because it is an edge-on spiral galaxy with anunusually coherent regular magnetic field.
5. MW centre may/may not give observable signal
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
DM → a → γ pre-dictions
From 1403.2370: Cicoli, JC, Marsh, Rummel
‘In environments with high dark matter densities but low magnetic fields, such as
dwarf galaxies, the line should be suppressed.....’
From 1404.7741 JC, Day
‘We note that - within the DM → a → γ scenario - the above points make M31 an
unusually favourable galaxy for observing a 3.55 keV line. For general galaxies in this
scenario, the signal strength of the 3.55 keV would be much lower than for galaxy
clusters, and the fact that for M31 these can be comparable is rather uncommon.’
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
DM → a → γ
Among clusters, Perseus is a nearby cool core cluster:
◮ Stronger magnetic field in the centre of the cluster
◮ Nearby cluster, so only central region of cluster fits intelescope field of view
Ophiuchus (cool core), Centaurus (cool core), Coma(non-cool-core) also nearby, and XMM-Newton FoV only coverscentral region
We also expect stronger signals for these
We can quantify differences between cool-core and non-cool-coreclusters JC, Powell
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Non-Cool-Core Clusters - ‘Coma’
Coma eta = 1Coma eta = 0.5
0 200 400 600 800 1000Extraction Radius kpc
1
2
3
4
5
Relative signal strength
Relative signal strength as function of extraction radius
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Cool Core Clusters - ‘Perseus’
Perseus eta = 1Perseus eta = 0.5
0 200 400 600 800 1000Extraction Radius kpc
1
2
3
4
5
Relative signal strength
Relative signal strength as function of extraction radius
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Non-Cool-Core Clusters - ‘Coma’
Coma eta = 1Coma eta = 0.5
200 400 600 800 1000Offset Radius kpc
0.5
1.0
1.5
2.0
Relative signal strength
Relative signal strength as function of offset radius (250kpcextraction radius)
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Cool Core Clusters - ‘Perseus’
Perseus eta = 1Perseus eta = 0.5
200 400 600 800 1000Offset Radius kpc
2
4
6
8
10Relative signal strength
Relative signal strength as function of offset radius (250kpcextraction radius)
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
The Future of the 3.5 KeV Line
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
The Future of the 3.5 KeV Line
Japanese satellite ASTRO-H was launched less than one month ago
Now renamed Hitomi following the successful launch
It has unprecendented spectroscopic resolution (7eV compared to100eV for traditional CCD technology)
This will determine definitively whether 3.5 keV line exists andwhether it corresponds to dark matter decay
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
IVAPPLICATIONS II:
DISTORTIONS OFTHERMAL
BREMSSTRAHLUNG
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Thermal Bremsstrahlung
As we have seen, it is long understood that the dominant X-rayemission from galaxy clusters is from thermal bremsstrahlung.
Emission comes not from the galaxies but from the intra-clustergas.
This intracluster medium is heated to temperatures of 2-10 keV;the ICM is an ionised plasma and emits a continuum thermalemission supplemented by X-ray atomic lines.
The structure of this emission can be used to determine thetemperature, metallicity, electron density, and many otherproperties of the ICM.
We focus mostly here on the Coma cluster, which is a hot nearbycluster with temperatures around T ∼ 8keV.
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Thermal Bremsstrahlung
Continuum emission of thermal bremsstrahlung is approximatelydescribed by
I (ν) = AZ 2NionNeg(ν,T ) exp
(
− hνkBT
)
√kBT
,
with A constant, g(ν,T ) the Gaunt factor, h Planck’s constant,kB Boltzmann constant.
There is also X-ray atomic line emission: full spectrum calculatedby codes such as apec ,mekal .
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Thermal bremsstrahlung is excellent fit to Coma spectrum
Arnaud et al, fit from XMM-Newton observations of Coma
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Thermal bremsstrahlung is excellent fit to Coma spectrum
fit from NuStar observations of Coma
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
What can happen if ALPs exist?
If ALPs exists, X-ray photons can oscillate into ALPs anddisappear from the spectrum.
Along any given line of sight, photons experience a singlerealisation of the turbulent, tangled magnetic field of the cluster.
Passing through this, they have a finite, energy-dependent chanceof converting into an ALP.
Survival probability is quasi-sinusoidal with varying frequency.
Easiest to illustrate through examples:
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Distortion along line of sight I, M = 1012GeV
2 4 6 8 10Energy in keV
0.90
0.92
0.94
0.96
0.98
1.00Photon survival probability
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Distortion along line of sight II, M = 1012GeV
2 4 6 8 10Energy in keV
0.92
0.94
0.96
0.98
1.00Photon survival probability
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Distortion along line of sight III, M = 1012GeV
2 4 6 8 10Energy in keV
0.85
0.90
0.95
1.00Photon survival probability
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Distortion along line of sight IV, M = 1012GeV
2 4 6 8 10Energy in keV
0.85
0.90
0.95
1.00
Photon survival probability
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Distortion along line of sight V, M = 1012GeV
2 4 6 8 10Energy in keV
0.90
0.92
0.94
0.96
0.98
1.00Photon survival probability
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Distortion along line of sight I, M = 3 · 1011GeV
2 4 6 8 10Energy in keV
0.6
0.7
0.8
0.9
1.0
Photon survival probability
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Distortion along line of sight II, M = 3 · 1011GeV
2 4 6 8 10Energy in keV
0.70
0.75
0.80
0.85
0.90
0.95
Photon survival probability
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Distortion along line of sight III, M = 3 · 1011GeV
0 2 4 6 8 10Energy in keV
0.65
0.70
0.75
0.80
0.85
0.90
0.95
Photon survival probability
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Distortion along line of sight IV, M = 3 · 1011GeV
2 4 6 8 10Energy in keV
0.6
0.7
0.8
0.9
1.0Photon survival probability
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Distortion along line of sight V, M = 3 · 1011GeV
2 4 6 8 10Energy in keV
0.70
0.75
0.80
0.85
0.90
0.95
1.00Photon survival probability
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Properties of distorted spectra
These previous plots have showed the characteristic behaviour ofALP-photon conversion:
◮ For allowed values of M, the photon-ALP conversion rate islarge.
◮ The photon-ALP conversion rate increases with energy
◮ There are quasi-sinusoidal oscillations whose frequencydecreases with energy
◮ The actual structure of conversion differs with each realisationof the magnetic field
◮ It is easiest to observe these characteristic oscillations onsmall physical scales
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Distortion on 5kpc field of view, M = 4 · 1011GeV
from 1509.06748 , JC, D. Marsh, A. Powell
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Distortion on 100kpc field of view, M = 4 · 1011GeV
from 1509.06748 , JC, D. Marsh, A. Powell
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Searching for / Improving bounds on ALPs
Effects are most pronounced on small scales, but average out onlarge scales.
As current bounds on ALPs restrict M > 2 · 1011GeV, it should bepossible to improve this significantly through analysing thesmall-scale X-ray spectrum from galaxy clusters.
Huge quantities of archival data available of cluster X-rayobservations.
For this purpose, Chandra is the optimal X-ray telescope - it hasthe highest (arcsecond) angular resolution and so the best abilityto resolve the smallest physical scales.
This is current work in progress using archival 500ks Chandraobservations of Coma cluster.
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Polarised X-ray emission
Only one photon polarisation converts into ALPs within a singledomain.
The result is that the same physics that leads to spectraldistortions also makes the X-ray emission polarised.
If ALP-photon conversion is significant, the thermal ICM X-rayspectrum could also be highly polarised.
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Polarised X-ray emission: single line of sight
from 1509.06748 , JC, D. Marsh, A. Powell
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
VAPPLICATIONS III:
DARK RADIATION ANDTHE CLUSTER SOFT
EXCESS
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
The Standard Cosmology
The Standard Cosmology:
INFLATION
inflationaryexpansion
OSCILLATIONS
AND REHEATI|NG
matter dominationby inflaton quanta
gg, qq, e+ e-, ......
VISIBLE SECTORREHEATING
Decay of inflaton
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
The Cosmological Moduli Opportunity
In any string model we expect reheating to be driven by thelate-time decays of massive Planck-coupled particles.
gg, qq, e+ e-, ...... aa
VISIBLESECTOR REHEATING
DARK RADIATION
Last decaying scalar
Hidden sector decays of moduli give rise to dark radiation.
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
The Cosmological Moduli Opportunity
INFLATION
inflationaryexpansion
OSCILLATIONS
AND REHEATI|NG
matter dominationby inflaton quanta
gg, qq, e+ e-, ...... aa
VISIBLE SECTORREHEATING
DARK RADIATION
Decay of inflaton
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
The Cosmological Moduli Opportunity
As gravitationally coupled particles, moduli generally couple toeverything with M−1P couplings and there is no reason to expectvanishing couplings to hidden sectors.
Visible sector :Φ
4MPF colorµν F
color ,µν ,∂µ∂
µΦ
MPHuHd , . . .
Hidden sector :Φ
2MP∂µa∂
µa,Φ
4MPF hiddenµν F
hidden,µν . . .
This is supported by explicit studies of string effective field theories
In particular, axionic decay modes naturally arise withBR(Φ → aa) ∼ 0.01 → 1.1208.3562 Cicoli JC Quevedo, 1208.3563 Higaki Takahashi, 1304.7987 Higaki
Nakayama Takahashi
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
A Cosmic ALP Background
gg, qq, e+ e-, ...... aa
VISIBLE SECTOR DARK RADIATION
Decay of inflaton
THERMALISEDFREE STREAMING
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
A Cosmic ALP Background
Φ → gg , . . . : Decays thermalise Tγ ∼ Treheat ∼m
3/2Φ
M12P
Φ → aa : ALPs never thermalise Ea =mΦ
2
Thermal bath cools into the CMB while ALPs never thermalise andfreestream to the present day:
Ratio of ALP energy to photon temperature is
Ea
Tγ∼
(
MP
mΦ
)12
∼ 106(
106GeV
mΦ
)
12
Retained through cosmic history!
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
A Cosmic ALP Background
ALPs originate at z ∼ 1012(t ∼ 10−6 s) and freestream to today.
PREDICTION: Cosmic ALP Background
Energy: E ∼ 0.1 ÷ 1keV Flux: ∼(
∆Neff0.57
)
106cm−2s−1.
200 400 600 800
1
2
2
4
6
8
EeV
dF
dE@1
03cm-
2s-
1eV-
1 D
#ax
ions@1
057
kpc-
3eV-
1 D
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
The Cluster Soft Excess
In fact there exists a long-standing (since 1996) EUV/soft x-rayexcess from galaxy clusters (Lieu 1996, review Durret 2008). E.g Comahas
Lexcess ∼ 1043erg s−1
Observed by different satellites - principally EUVE and soft bandsof ROSAT.
Has been studied for a large number (∼ 40) of clusters, present in∼ 15.Difficulties with astrophysical explanations - see backup slides.
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
The Cluster Soft Excess
from Bonamente et al 2002, fractional soft excess in ROSAT 0.14 - 0.28 keV R2 band
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
The Cluster Soft Excess
from Bonamente et al 2002, fractional soft excess with radius
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
The Cluster Soft Excess: Coma
Soft excess extends well beyond hot gas and cluster virial radius:
from 0903.3067 Bonamente et al, ROSAT R2 band (0.14-0.28keV) observations of
Coma
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
The Cluster Soft Excess and a CAB
Proposal: cluster soft excess generated by a → γ conversion incluster magnetic field.
Basic predictions:
◮ Magnitude and morphology of soft excess fully determined bycluster magnetic field and electron density
◮ Spatial extent of excess conterminous with magnetic field
◮ No thermal emission lines (e.g. OVII ) associated to excess
◮ Energy of excess is constant across clusters, varying withredshift as Ea ∼ (1 + z).
Test by propagating ALPs through simulated cluster magneticfields
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
A Cosmic ALP Background
a → γ conversion generates a soft X-ray luminosity
LMpc3 = 3.6 · 1041 erg Mpc−3s−1 ×
×(
∆Neff0.57
)(
B√2 µG
1013 GeV
M
)2 (L
1 kpc
)
,
Extremely luminous - for ∆Neff ∼ 0.5 and M ∼ 1011GeV, a → γluminosity outshines entire cluster!
Counterpart - for M ∼ 1011GeV observable signal can remain even with ∆Neff ∼ 10−4.
ALPs that are everywhere are much easier to detect than ALPsthat must be first produced in stars or supernovae.
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
ALP Propagation through Centre of Coma
100 200 300 400 500 600
0.1
1
10
Impact parameter @ Dkpc
XPa
ý\
@10
-4D
1 keV
600 eV
400 eV
200 eV
150 eV
100 eV
50 eV
25 eV
a → γ conversion probabilities for different ALP energies as afunction of radius from the centre of Coma
Note the high suppression for Ea < 100eV
Angus JC Marsh Powell Witkowski 1312.3947
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
ALP Propagation through Centre of Coma
0 100 200 300 400 500
Energy @ DeV
Axions
Photons
Comparison of original ALP spectrum and spectrum of convertedphotons
Photon spectrum falls off rapidly at both low and high energies
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
ALP Propagation through Centre of Coma
0
0.5
1
1.5
2
0 3 6 9 12 15 18
Rat
io [L
sim
/Lob
s]
1
5
25
Lum
inos
ity [1
041
erg
s-1
Model 1Model 2Model 3
Radial distance [arcminutes]
Data
Morphology fits reasonably well for M ∼ 7× 1012GeV
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
ALP Propagation through Outskirts of Coma
0.10 0.15 0.20 0.25 0.30 0.35
0
5.0 1012
1.0 1013
1.5 1013
2.0 1013
2.5 1013
3.0 1013
M÷
Ge
V ModelB
centre
ModelA
centre
ModelB
ModelA
/keV
M
Fit to the outskirts gives a compatible value of M ∼ 1013GeV.Kraljic, Rummel, JC 1406.5188
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
ALP Propagation through Other Clusters
(Plots assume the Coma best fit value of M ∼ 7× 1012GeV)Powell, to appear
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Cluster Soft Excess: Astrophysical Explanations
Two main proposals for astrophysical explanations:
1. A warm thermal gas with T ∼ 0.2keV.Interpret soft excess as thermal bremmstrahlung emissionfrom this warm gas.
2. A large non-thermal relativistic electron population withE ∼ 200 − 300 MeV.Interpret soft excess as inverse Compton scattering ofelectrons on CMB.
Both have problems (in back-up slides).
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Astrophysics: T ∼ 0.2keV warm gas
The original proposal. However:
1. Such a gas is pressure unstable against the hot ICM gas.
It rapidly cools away on a timescale much shorter than clustertimescales.
2. A thermal T ∼ 0.2keV gas would also have thermal emissionlines - particularly OVII at 560 eV.
No such lines have been observed - some early claimeddetections have gone away.
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Astrophysics: non-thermal E ∼ 150 MeV electrons
A more promising propsal: a large population of non-thermalelectrons scattering off the CMB. However:
1. If this population continues to E ∼ 2GeV, its synchrotronradio emission is above level of Coma radio halo.
This necessitates a sharp spectral cutoff between ∼ 200MeVand ∼ 2GeV.
2. This population necessarily produces gamma rays throughnon-thermal bremmstrahlung.
It was predicted that these gamma rays would be easilyobservable by Fermi (Atoyan + Volk 2000)
But - Fermi does not see any clusters:
FComa>100 MeV < 1.1 × 10
−9ph cm−2 s−1
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Astrophysics: non-thermal E ∼ 150 MeV electrons
from Atoyan + Volk, 2000
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes
Conclusions
◮ Galaxy clusters are highly efficient converters of axion-likeparticles (m . 10−12eV) to photons - that nature hasprovided for free
◮ a → γ conversion probabilities are O(1) for M ∼ 1011GeV,and primary ALP signals turn into an easily visible photonsignal correlated with cluster magnetic field
◮ By searching for and bounding small-scale distortions from thecluster thermal bremsstrahlung spectrum, it should be possibleto improve bounds on M by an order of magnitude.
Joseph Conlon, Oxford University Galaxy Clusters as Tele-ALP-scopes