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Astrophysical neutrinos
Michael Kachelrieß
NTNU, Trondheim
Introduction
Outline of the talk
1 Introduction
2 IceCube events
◮ implications
3 Astrophysical sources
◮ point sources versus diffuse flux
◮ Galactic sources versus extragalactic
4 PeV dark matter
5 Summary
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 2 / 31
Introduction
Outline of the talk
1 Introduction
2 IceCube events
◮ implications
◮ or better speculations. . .
3 Astrophysical sources
◮ point sources versus diffuse flux
◮ Galactic sources versus extragalactic
4 PeV dark matter
5 Summary
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 2 / 31
Introduction
Outline of the talk
1 Introduction
2 IceCube events
◮ implications
◮ or better speculations. . .
3 Astrophysical sources
◮ point sources versus diffuse flux
◮ Galactic sources versus extragalactic
4 PeV dark matter
5 Summary
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 2 / 31
Introduction
Outline of the talk
1 Introduction
2 IceCube events
◮ implications
◮ or better speculations. . .
3 Astrophysical sources
◮ point sources versus diffuse flux
◮ Galactic sources versus extragalactic
4 PeV dark matter
5 Summary
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 2 / 31
Introduction
Outline of the talk
1 Introduction
2 IceCube events
◮ implications
◮ or better speculations. . .
3 Astrophysical sources
◮ point sources versus diffuse flux
◮ Galactic sources versus extragalactic
4 PeV dark matter
5 Summary
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 2 / 31
Introduction
The CR–γ–ν connection:
HE neutrinos and photons are unavoidable byproducts of HECRs
astrophysical models, cosmogenic flux:◮ ratio Iν/Ip determined by nuclear composition of UHECRs and source
evolution◮ ratio Eν/Eγ determined by isospin
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 3 / 31
Introduction
The CR–γ–ν connection:
HE neutrinos and photons are unavoidable byproducts of HECRs
astrophysical models, cosmogenic flux:◮ ratio Iν/Ip determined by nuclear composition of UHECRs and source
evolution◮ ratio Eν/Eγ determined by isospin
astrophysical models, direct flux:◮ strongly model dependent fluxes: unknown target density, . . .
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 3 / 31
Introduction
The CR–γ–ν connection:
HE neutrinos and photons are unavoidable byproducts of HECRs
astrophysical models, cosmogenic flux:◮ ratio Iν/Ip determined by nuclear composition of UHECRs and source
evolution◮ ratio Eν/Eγ determined by isospin
astrophysical models, direct flux:◮ strongly model dependent fluxes: unknown target density, . . .
top-down DM models:◮ large fluxes with Iν ≫ Ip
◮ ratio Iν/Ip fixed by fragmentation
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 3 / 31
Introduction
The CR–γ–ν connection:
HE neutrinos and photons are unavoidable byproducts of HECRs
astrophysical models, cosmogenic flux:◮ ratio Iν/Ip determined by nuclear composition of UHECRs and source
evolution◮ ratio Eν/Eγ determined by isospin
astrophysical models, direct flux:◮ strongly model dependent fluxes: unknown target density, . . .
top-down DM models:◮ large fluxes with Iν ≫ Ip
◮ ratio Iν/Ip fixed by fragmentation
prizes to win:◮ astronomy above 100 TeV◮ identification of CR sources◮ determination galactic–extragalactic transition of CRs◮ test/discover new particle physics
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 3 / 31
Introduction
What is the bonus of HE neutrino astronomy?astronomy with VHE photons restricted to few Mpc:
10
12
14
16
18
20
22
Gpc100Mpc10MpcMpc100kpc10kpckpc
log1
0(E
/eV
)
photon horizon γγ → e+e− CMB
IR
radio
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 4 / 31
Introduction
What is the bonus of HE neutrino astronomy?astronomy with VHE photons restricted to few Mpc:
10
12
14
16
18
20
22
Gpc100Mpc10MpcMpc100kpc10kpckpc
log1
0(E
/eV
)
photon horizon γγ → e+e− CMB
IR
radio
ambiguity: leptonic/hadronic origin
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 4 / 31
Introduction
HE neutrino astronomy vs UHECRs?
10
12
14
16
18
20
22
Gpc100Mpc10MpcMpc100kpc10kpckpc
log1
0(E
/eV
)proton horizon
photon horizon γγ → e+e− CMB
IR
Virgo ⇓
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 5 / 31
Introduction
HE neutrino astronomy vs UHECRs?
10
12
14
16
18
20
22
Gpc100Mpc10MpcMpc100kpc10kpckpc
log1
0(E
/eV
)proton horizon
photon horizon γγ → e+e− CMB
IR
Virgo ⇓
◮ large statistics of UHECRs, well-suited horizon scale
◮ but no conclusive evidence that qB is small enough
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 5 / 31
Introduction
What is the bonus of HE neutrino astronomy?Neutrino astronomy:
large λν but also “large” uncertainty 〈δϑ〉 >∼ 0.1◦ − 1◦
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 6 / 31
Introduction
What is the bonus of HE neutrino astronomy?Neutrino astronomy:
large λν but also “large” uncertainty 〈δϑ〉 >∼ 0.1◦ − 1◦
small event numbers: <∼ 1/yr for PAO or ICECUBE
103
102
10
1
10-1
1022102110201019101810171016
j(E)
E2 [e
V c
m-2
s-1
sr-1
]
E [eV]
WB
max
0.2
CR flux
⇒ identification of steady sources challenging
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 6 / 31
Introduction
What is the bonus of HE neutrino astronomy?Neutrino astronomy:
large λν but also “large” uncertainty 〈δϑ〉 >∼ 0.1◦ − 1◦
small event numbers: <∼ 1/yr for PAO or ICECUBE
103
102
10
1
10-1
1022102110201019101810171016
j(E)
E2 [e
V c
m-2
s-1
sr-1
]
E [eV]
WB
max
0.2
CR flux
⇒ identification of steady sources challenging
correlation with AGN flares, GRBs
which AGNs? GeV/TeV photon sources?
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 6 / 31
Icecube events
Icecube: 2 events presented at Neutrino 20122 cascade events close to Emin = 1015 eV, bg = 0.14
Two events passed the selection criteria
8
Run119316-Event36556705 Jan 3rd 2012 NPE 9.628x104
Number of Optical Sensors 312
Run118545-Event63733662 August 9th 2011 NPE 6.9928x104
Number of Optical Sensors 354
CC/NC interactions in the detector
MC
2 events / 672.7 days - background (atm. m + conventional atm. n) expectation 0.14 events
preliminary p-value: 0.0094 (2.36s)
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 7 / 31
Icecube events
Icecube: prompt neutrino analysis [A. Schukraft, NOW2012 ]
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L��� � ��;�� '�� ��� ����''� ����������� ��� �� ���;��
����� ��� �����;����'�� ��� ����
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L��� ����;����''��!FN������ ��� �
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 8 / 31
Icecube events
Icecube: prompt neutrino analysis [A. Schukraft, NOW2012 ]
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� ����8�� ��8�0/�������'� ��
'� ������ ������������$���� ��
� ��$������;����� ��� &����'� ����'�����8�0
/
� ����������� ����� �����&� �����B$�� � ����
!#I%2����� �
*���� ������������8�� ���
��� �����B$�� � ���4�
#8Q�S
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 8 / 31
Icecube events
Icecube: prompt neutrino analysis [A. Schukraft, NOW2012 ]
����������0/����;���$�� ���J�A�� ���
�� �$��������0/4
"82�7�#"-Q�)-!���=-#���-!��-#��-#
3��$ �0/4
"
G�� ���;������� H
A�� ��� A�� ���
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 8 / 31
Icecube events
IceCube events
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 9 / 31
Icecube events
IceCube events: specifications for candidate sources
28 events with ∼ 10 bg: flukes are possible. . .
flux is large, close to◮ Waxman-Bahcall estimate◮ cascade limit
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 10 / 31
Icecube events
IceCube events: specifications for candidate sources
28 events with ∼ 10 bg: flukes are possible. . .
flux is large, close to◮ Waxman-Bahcall estimate◮ cascade limit
anisotropies◮ event cluster around GC, enhancement close to Galactic plane?⇒ mainly Galactic origin
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 10 / 31
Icecube events
IceCube events: specifications for candidate sources
28 events with ∼ 10 bg: flukes are possible. . .
flux is large, close to◮ Waxman-Bahcall estimate◮ cascade limit
anisotropies◮ event cluster around GC, enhancement close to Galactic plane?⇒ mainly Galactic origin
CR energies Ep ∼ 20Eν ⇒ few×1016 eV◮ high for Galactic CRs◮ lowish for cosmogenic, AGN, GRB
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 10 / 31
Icecube events
IceCube events: specifications for candidate sources
28 events with ∼ 10 bg: flukes are possible. . .
flux is large, close to◮ Waxman-Bahcall estimate◮ cascade limit
anisotropies◮ event cluster around GC, enhancement close to Galactic plane?⇒ mainly Galactic origin
CR energies Ep ∼ 20Eν ⇒ few×1016 eV◮ high for Galactic CRs◮ lowish for cosmogenic, AGN, GRB
flavor ratio consistent with 1:1:1
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 10 / 31
Astrophysical sources
Astrophysical sources of high-energy neutrinos
Galactic sources:
Galactic plane and bulge
SNR
Sun
hypernova, GRB
micro-quasar
. . .
Extragalactic sources:
diffuse flux from normal/starburst galaxies
cosmogenic neutrinos
diffuse flux from AGN
GRB
single AGN
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 11 / 31
Astrophysical sources Galactic point sources
Galactic CRs: KASCADE-Grande 2013
primary energy E/eV
1510
1610 1710
1810
)1
.5 e
V-1
s-1
sr
-2 / (
m2
.5 E
dif
f. f
lux
dJ
/dE
·
1510
1610
1710
Akeno (J.Phys.G18(1992)423)AGASA (ICRC 2003)HiResI (PRL100(2008)101101)HiResII (PRL100(2008)101101)AUGER (arXiv:1107:4809)AUGER AMIGA infill (ICRC 2011)
EAS-TOP (Astrop.Phys.10(1999)1)Tibet-III, QGSJET 01 (ApJ678(2008)1165)GAMMA (ICRC 2011)IceTop (arXiv:1202.3039v1)TUNKA-133 (ICRC 2011)Yakutsk (NewJ.Phys11(2008)065008)KASCADE-Grande, QGSJET II (Astrop.Phys.36(2012)183)
KASCADE-Grande, all-part., QGSJET II (this work)KASCADE-Grande, light (p), QGSJET II (this work)KASCADE-Grande, medium (He+C+Si), QGSJET II (this work)KASCADE-Grande, heavy (Fe), QGSJET II (this work)
KASCADE, all-part., QGSJET II (see Appendix A)KASCADE, light (p), QGSJET II (see Appendix A)
KASCADE, medium (He+C+Si), QGSJET II (see Appendix A)KASCADE, heavy (Fe), QGSJET II (see Appendix A)
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 12 / 31
Astrophysical sources Galactic point sources
Galactic sources
at low energies:
◮ many sources, large confinement times
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 13 / 31
Astrophysical sources Galactic point sources
Galactic sources
at low energies:
◮ many sources, large confinement times
⇒ average CR sea plus few recent sources
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 13 / 31
Astrophysical sources Galactic point sources
Galactic sources
at low energies:
◮ many sources, large confinement times
⇒ average CR sea plus few recent sources
close to the knee:
◮ CRs in PeV range spread fast
◮ few extreme sources
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 13 / 31
Astrophysical sources Galactic point sources
Galactic sources
at low energies:
◮ many sources, large confinement times
⇒ average CR sea plus few recent sources
close to the knee:
◮ CRs in PeV range spread fast
◮ few extreme sources
⇒ inhomogenous CR sea, extended sources
⇒ no clear distinction between point sourcesvs. Galactic bulge + plane cases
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 13 / 31
Astrophysical sources Galactic point sources
E = 100 TeV → 1 PeV → 10 PeV t = 500 yr ↓ 2000 yr ↓ 7000 yr
S S S
S S S
S S
0 0.2 0.4 0.6 0.8 1
S
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 14 / 31
Astrophysical sources Galactic point sources
Point source in gamma-ray
source HESS J1825-137 [Neronov, Semikoz, Tchernin ’13 ]
0.00100
0.00150
0.00200
0.00250
0.00300
0.00350
0.00400
0.00450
0.00500
0.00550
0.00600
180.000225.000270.000315.000 0.00045.00090.000135.000
-90.000
-60.000
-30.000
0.00
0
30.000
60.000
90.000
Kookaburra region
HESS J1632 region
Galactic Center
HESS J1825 region
Cygnus region
Vela region
Crab
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 15 / 31
Astrophysical sources Galactic point sources
Gamma-ray point sourcesflux from HESS J1825-137, GC and GP
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 16 / 31
Astrophysical sources Galactic point sources
(Isotropic) photon limits
101 102 103 104
Eγ [TeV]
10−10
10−9
10−8
10−7
10−6
10−5
10−4
E2J
γ[G
eVcm
−2
s−1
sr−
1]
8.5kpc
20kpc
30kpc
GRAPES-3
UMC
HEGRA
EAS-TOP
IC-40 (γ)
KASCADE
GAMMA
CASA-MIA
[Ahlers, Murase ’13 ]
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 17 / 31
Astrophysical sources CR sea interactions in bulge and plane
Galactic plane
gas is concentrated as n(z) ∼ n0 exp[−(z|/z12)2] with z12 ∼ 0.2 kpc
n0 decreases with ρ – events at GAC?
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 18 / 31
Astrophysical sources CR sea interactions in bulge and plane
Column density of gas
[Evoli, Grasso, Maccione ’07 ]
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 19 / 31
Astrophysical sources CR sea interactions in bulge and plane
Diffuse ν flux from Galactic plane
[Evoli, Grasso, Maccione ’07 ]
averaged over 1,2,5 degrees
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 20 / 31
Astrophysical sources Diffuse extragalactic flux
Diffuse ν flux from normal and starburst galaxies
103
105
107
109
1011
10−9
10−8
10−7
10−6
10−5
Eν [GeV]
E2 ν Φ
ν [G
eV/c
m2 s
sr]
0.1 km2
1 km2
WB Bound
Star Bursts
AMANDA( νµ); Baikal(νe)
Atmospheric→← GZK
[Loeb, Waxman ’06 ]
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 21 / 31
Astrophysical sources Diffuse extragalactic flux
Diffuse ν flux from normal and starburst galaxies
103
105
107
109
1011
10−9
10−8
10−7
10−6
10−5
Eν [GeV]
E2 ν Φ
ν [G
eV/c
m2 s
sr]
0.1 km2
1 km2
WB Bound
Star Bursts
AMANDA( νµ); Baikal(νe)
Atmospheric→← GZK
[Loeb, Waxman ’06 ]
too optimistic?◮ fraction of starbust galaxies?◮ all calorimetric?
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 21 / 31
Astrophysical sources Cosmogenic neutrinos
Reminder: The photon horizon
10
12
14
16
18
20
22
Gpc100Mpc10MpcMpc100kpc10kpckpc
log1
0(E
/eV
)
photon horizon γγ → e+e− CMB
IR
radio
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 22 / 31
Astrophysical sources Cascade spectrum
Development of the elmag. cascade:
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 23 / 31
Astrophysical sources Cascade spectrum
Development of the elmag. cascade:
analytical estimate: [Strong ’74, Berezinsky, Smirnov ’75 ]
Jγ(E) =
K(E/εX)−3/2 at E ≤ εX
K(E/εX)−2 at εX ≤ E ≤ εa
0 at E > εa
three regimes:◮ Thomson cooling:
Eγ =4
3
εbbE2
e
m2e
≈ 100 MeV
(
Ee
1TeV
)2
◮ plateau region: ICS Eγ ∼ Ee
◮ above pair-creation threshold smin = 4Eγεbb = 4m2
e:
flux exponentially suppressed
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 23 / 31
Astrophysical sources Cascade spectrum
Fermi limit for cosmogenic neutrinos: [Berezinsky et al. ’10, Ahlers et al. ’10,. . . ]
E, eV1810 1910 2010 2110
-1st
er-1
sec
-2m2
J(E
) eV
3E
2310
2410
2510eV; m=021=10
max=2; Emaxz
HiRes II HiRes I
p
iνΣ
2.7
2.0
2.7
2.0
2.0
2.7
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 24 / 31
Astrophysical sources Cascade spectrum
Fermi limit for cosmogenic neutrinos: [Berezinsky et al. ’10, . . . ]
0 1 2 3 4 5 610-8
10-7
10-6
10-5
10-4
cas(m
), eV
/cm
3 5
5
6
6
4
4
2
m
5.8x10-7
Emax=1021eV
2
g=2.6g=2.0
n(z)L(z) ∝ (1 + z)m , zmax
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 24 / 31
Astrophysical sources Cascade spectrum
Fermi limit for cosmogenic neutrinos: [Berezinsky et al. ’10, . . . ]
1016 1017 1018 1019 1020 1021 102210-1
100
101
102
103
104
105
106
1021
1020
IceCube 5yr tilted
2.0
RICE
Auger diff.
E-2 cascade
ANITA
E2 J(
E), e
Vcm
-2s-1
sr-1
E, eV
ANITA-liteAuger
2.6
nadirJEM-EUSOBAIKAL
e =
1022
m=3
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 24 / 31
Astrophysical sources Gamma-Ray Burst
IceCube limit on GRBs
215 optically detected GRBs stacked
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 25 / 31
Astrophysical sources Gamma-Ray Burst
IceCube limit on GRBs
215 optically detected GRBs stacked
10
4
10
5
10
6
10
7
Neutrino Energy (GeV)
10
-9
10
-8
E
2
Φ
ν
(GeV cm
−2
s
−1
sr
−1
)
Waxman & BahcallIC40 limitIC40 Guetta et al.IC40+59 Combined limitIC40+59 Guetta et al.
10
-1
10
0
E
2
F
ν
(GeV cm
−2
)
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 25 / 31
Astrophysical sources AGN
Flux from a single AGN: Cen A+ 2 events correlated with Cen A within 3.1◦
+ more events close-by [Gorbunov et al. ’07, Fargione ’08, Rachen ’08 ]
+ general correlation with AGN
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 26 / 31
Astrophysical sources AGN
Flux from a single AGN: Cen A+ 2 events correlated with Cen A within 3.1◦
+ more events close-by [Gorbunov et al. ’07, Fargione ’08, Rachen ’08 ]
+ general correlation with AGN
− confusion with LSS?− no confirmation by HiRes− tension to PAO chemical composition− Emax for most AGN (incl. Cen A) high enough?
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 26 / 31
Astrophysical sources AGN
Acceleration close to the core: α = 2
initial protonsfinal protons
totalneutrinosγ
γ
HESS
FERMI
PAO
8 10 12 14 16 18 2014
15
16
17
18
19
log10(E/eV)
log10
(E2 Φ
/eV km
-2 yr-1 )
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 27 / 31
Astrophysical sources AGN
Acceleration close to the core: α = 2
initial protonsfinal protons
totalneutrinosγ
γ
HESS
FERMI
PAO
8 10 12 14 16 18 2014
15
16
17
18
19
log10(E/eV)
log10
(E2 Φ
/eV km
-2 yr-1 )
compatible with HESS and Fermi
GeV emission may be of e/m origin(electron synchrotron/ICS)
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 27 / 31
Astrophysical sources AGN
Diffuse flux from AGN - normalized to Cen A
assume Cen A is a “typical source” with injection spectrum j(E)
diffuse flux from all Cen A-like sources
Φdiff(E) =cn0
4π
∫
∞
0
dz
∣
∣
∣
∣
dt
dz
∣
∣
∣
∣
dE0(E, z)
dEε(z)j(E0) ,
enhancement between O(10) (no evolution) and O(100) (strongevolution) [Koers, Tinyakov (’08) ]
Halzen, O’Murchadha (’08): all FR-I radio galaxies: 5 events/yr
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 28 / 31
Astrophysical sources AGN
Diffuse flux from AGN - normalized to Cen A
assume Cen A is a “typical source” with injection spectrum j(E)
diffuse flux from all Cen A-like sources
Φdiff(E) =cn0
4π
∫
∞
0
dz
∣
∣
∣
∣
dt
dz
∣
∣
∣
∣
dE0(E, z)
dEε(z)j(E0) ,
enhancement between O(10) (no evolution) and O(100) (strongevolution) [Koers, Tinyakov (’08) ]
Halzen, O’Murchadha (’08): all FR-I radio galaxies: 5 events/yr
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 28 / 31
Astrophysical sources AGN
Diffuse flux from AGN - normalized to Cen A
assume Cen A is a “typical source” with injection spectrum j(E)
diffuse flux from all Cen A-like sources
Φdiff(E) =cn0
4π
∫
∞
0
dz
∣
∣
∣
∣
dt
dz
∣
∣
∣
∣
dE0(E, z)
dEε(z)j(E0) ,
enhancement between O(10) (no evolution) and O(100) (strongevolution) [Koers, Tinyakov (’08) ]
Halzen, O’Murchadha (’08): all FR-I radio galaxies: 5 events/yr
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 28 / 31
PeV dark matter
Signatures of SHDM decays
flat spectra dE/E1.9 up to mX/2
E3J(E
)/m
−2s−
1eV
2
E/eV
1e+23
1e+24
1e+25
1e+26
1e+18 1e+19 1e+20 1e+21
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 29 / 31
PeV dark matter
Signatures of SHDM decays
flat spectra dE/E1.9 up to mX/2
composition: γ/p ≫ 1, large neutrino fluxes, no nuclei
threshold energy [eV]
1910 2010
ph
oto
n f
ract
ion
−210
−110
1
threshold energy [eV]
1910 2010
phot
on fr
actio
n
−210
−110
1
SHDM
SHDM’
TD
Z Burst
GZK
HP HP
A1
A1 A2
AY
Y
Y
Auger SD
Auger SD
Auger SD
Auger HYB
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 29 / 31
PeV dark matter
Signatures of SHDM decays
flat spectra dE/E1.9 up to mX/2
composition: γ/p ≫ 1, large neutrino fluxes, no nuclei
galactic anisotropy:
0 20 401
10
NFW
1020 eV 6x1019 eV 3x1019 eV 1019 ev
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 29 / 31
PeV dark matter
PeV dark matter
DM ® ΝeΝ e H15%L, bb H85%L
DM ® ΝeΝ e H12%L, cc H88%L
DM ® e-e+ H40%L, qq H60%L
1 10 102 103
10-11
10-10
EΝ HTeVL
EΝ2 dJ�d
EΝHT
eVcm-
2s-
1sr-
1 L
[Esmaili, Serpico ’13 ]
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 30 / 31
PeV dark matter
PeV dark matter
102 103
0.1
1
10
EΝ HTeVL
even
ts�b
in
DM ® ΝΝ , qqE-2 spec.
data
[Esmaili, Serpico ’13 ]
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 30 / 31
PeV dark matter
Summary
1 excess towards GC, consistent with γ-ray data
⇒ at least partly Galactic origin
2 enhancement towards Galactic plane:
◮ gas too narrow, flux too low
3 some tension with (Northern) γ-ray limits
4 extragalactic: (only additional?) isotropic component,diffuse, difficult to identify
5 PeV dark matter: angular distibution follows DM profile
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 31 / 31
PeV dark matter
Summary
1 excess towards GC, consistent with γ-ray data
⇒ at least partly Galactic origin
2 enhancement towards Galactic plane:
◮ gas too narrow, flux too low
3 some tension with (Northern) γ-ray limits
4 extragalactic: (only additional?) isotropic component,diffuse, difficult to identify
5 PeV dark matter: angular distibution follows DM profile
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 31 / 31
PeV dark matter
Summary
1 excess towards GC, consistent with γ-ray data
⇒ at least partly Galactic origin
2 enhancement towards Galactic plane:
◮ gas too narrow, flux too low
3 some tension with (Northern) γ-ray limits
4 extragalactic: (only additional?) isotropic component,diffuse, difficult to identify
5 PeV dark matter: angular distibution follows DM profile
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 31 / 31
PeV dark matter
Summary
1 excess towards GC, consistent with γ-ray data
⇒ at least partly Galactic origin
2 enhancement towards Galactic plane:
◮ gas too narrow, flux too low
3 some tension with (Northern) γ-ray limits
4 extragalactic: (only additional?) isotropic component,diffuse, difficult to identify
5 PeV dark matter: angular distibution follows DM profile
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 31 / 31
PeV dark matter
Summary
1 excess towards GC, consistent with γ-ray data
⇒ at least partly Galactic origin
2 enhancement towards Galactic plane:
◮ gas too narrow, flux too low
3 some tension with (Northern) γ-ray limits
4 extragalactic: (only additional?) isotropic component,diffuse, difficult to identify
5 PeV dark matter: angular distibution follows DM profile
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 31 / 31
PeV dark matter
Summary
1 excess towards GC, consistent with γ-ray data
⇒ at least partly Galactic origin
2 enhancement towards Galactic plane:
◮ gas too narrow, flux too low
3 some tension with (Northern) γ-ray limits
4 extragalactic: (only additional?) isotropic component,diffuse, difficult to identify
5 PeV dark matter: angular distibution follows DM profile
Michael Kachelrieß (NTNU Trondheim) Astrophysical neutrinos NBI 2014 31 / 31