Measurement of the UHECRs flux and composition with Pierre Auger - - PowerPoint PPT Presentation

measurement of the uhecrs flux and composition with
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Measurement of the UHECRs flux and composition with Pierre Auger - - PowerPoint PPT Presentation

Measurement of the UHECRs flux and composition with Pierre Auger Observatory OBSERVATORY Ioana C. Mari s for the Pierre Auger Collaboration Outline Ultra high energy cosmic rays Pierre Auger Observatory Energy spectrum


slide-1
SLIDE 1

OBSERVATORY

Measurement of the UHECRs flux and composition with Pierre Auger Observatory

Ioana C. Mari¸ s for the Pierre Auger Collaboration

slide-2
SLIDE 2

Outline

  • Ultra high energy cosmic rays
  • Pierre Auger Observatory
  • Energy spectrum

(calibration, combined spectrum)

  • Composition

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 2

slide-3
SLIDE 3

Introduction: Cosmic rays energy spectrum

Energy [eV]

11

10

12

10

13

10

14

10

15

10

16

10

17

10

18

10

19

10

20

10

]

  • 1

sr

  • 1

sec

  • 2

E J(E) [m

  • 16

10

  • 14

10

  • 12

10

  • 10

10

  • 8

10

  • 6

10

  • 4

10

  • 2

10 1

2

10

(GeV)

pp

s Equivalent c.m. energy

10

2

10

3

10

4

10

5

10

6

10 ATIC PROTON RUNJOB KASCADE Fly’s Eye Stereo MSU Akeno HiRes I HiRes II AGASA Auger 2007

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 3

slide-4
SLIDE 4

Introduction: Cosmic rays energy spectrum

Energy [eV]

15

10

16

10

17

10

18

10

19

10

20

10

]

1.5

eV

  • 1

sr

  • 1

sec

  • 2

J(E) [m

2.5

Scaled flux E

14

10

15

10

16

10

17

10

(GeV)

pp

s Equivalent c.m. energy

3

10

4

10

5

10

6

10

Tevatron (p-p) LHC (p-p) PROTON RUNJOB KASCADE Fly’s Eye Stereo Akeno

HiRes I HiRes II AGASA Auger 2007- combined

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 3

slide-5
SLIDE 5

Introduction: Cosmic rays energy spectrum

Energy [eV]

15

10

16

10

17

10

18

10

19

10

20

10

]

1.5

eV

  • 1

sr

  • 1

sec

  • 2

J(E) [m

2.5

Scaled flux E

14

10

15

10

16

10

17

10

(GeV)

pp

s Equivalent c.m. energy

3

10

4

10

5

10

6

10

Tevatron (p-p) LHC (p-p) PROTON RUNJOB KASCADE Fly’s Eye Stereo Akeno

HiRes I HiRes II AGASA Auger 2007- combined

spectral features: change in composition nature of the sources transition from galactic to extragalactic origin

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 3

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SLIDE 6

Introduction: Cosmic rays energy spectrum

Energy [eV]

15

10

16

10

17

10

18

10

19

10

20

10

]

1.5

eV

  • 1

sr

  • 1

sec

  • 2

J(E) [m

2.5

Scaled flux E

14

10

15

10

16

10

17

10

(GeV)

pp

s Equivalent c.m. energy

3

10

4

10

5

10

6

10

Tevatron (p-p) LHC (p-p) PROTON RUNJOB KASCADE Fly’s Eye Stereo Akeno

HiRes I HiRes II AGASA Auger 2007- combined

Greisen Zatsepin Kuzmin effect

  • p + γCMB → ∆+(1232)

→ p + π0 → pγγ → n + π+ → pe+ν 15% energy loss / interaction ⇒ only nearby universe visible

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 3

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SLIDE 7

Introduction: Cosmic rays energy spectrum

Energy [eV]

15

10

16

10

17

10

18

10

19

10

20

10

]

1.5

eV

  • 1

sr

  • 1

sec

  • 2

J(E) [m

2.5

Scaled flux E

14

10

15

10

16

10

17

10

(GeV)

pp

s Equivalent c.m. energy

3

10

4

10

5

10

6

10

Tevatron (p-p) LHC (p-p) PROTON RUNJOB KASCADE Fly’s Eye Stereo Akeno

HiRes I HiRes II AGASA Auger 2007- combined

UHECRs Challenges

  • energy spectrum
  • reduce stat. and syst.

uncertainties

  • composition
  • arrival directions

Pierre Auger Observatory

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 3

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SLIDE 8

Introduction: Measurement Techniques

Surface detector(SD)

  • acceptance geometric
  • energy scale from air shower

simulations

  • duty cycle ≈ 100%

Fluorescence detector(FD)

  • energies from longitudinal energy

deposit, nearly calorimetric

  • acceptance from detector and

atmosphere simulation

  • duty cycle ≈ 10%

Pierre Auger Observatory: acceptance and energy from data !

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 4

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SLIDE 9

Pierre Auger Observatory: hybrid detector

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 5

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SLIDE 10

Surface detector (SD)

3000 km2, 1612 tanks deployed, 1584 with water, 1526 working

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 5

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SLIDE 11

Surface detector (SD)

three 9 inch PMTs 12 tons of water electronics battery solar panel GPS antenna communications antenna XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 5

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SLIDE 12

Fluorescence detector (FD)

Atmosphere monitoring

  • radio soundings (h, T, P), LED for end to end

calibration, LASER shots, horizontal attenuation, IR cloud cameras, star light monitor XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 5

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SLIDE 13

Pierre Auger Observatory: event example

azimuth [deg] 150 155 160 165 170 175 180 elevation [deg] 5 10 15 20 25 30

t [25 ns] 150 200 250 300 350 400 450 S [VEM peak] 100 200 300 400 500 t [25 ns] 150 200 250 300 350 400 450 S [VEM peak] 2 4 6 8 10 12 14 t [25 ns] 150 200 250 300 350 400 450 S [VEM peak] 2 4 6 8 10 t [25 ns] 150 200 250 300 350 400 450 S [VEM peak] 0.5 1 1.5 2 2.5 3 3.5 4 t [25 ns] 150 200 250 300 350 400 450 S [VEM peak] 0.5 1 1.5 2 2.5 3 3.5 t [25 ns] 150 200 250 300 350 400 450 S [VEM peak] 1 2 3 4 5 t [25 ns] 150 200 250 300 350 400 450 S [VEM peak] 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 t [25 ns] 150 200 250 300 350 400 450 S [VEM peak] 0.5 1 1.5 2 2.5 3 3.5 4 t [25 ns] 150 200 250 300 350 400 450 S [VEM peak] 0.5 1 1.5 2 2.5 3 3.5 t [25 ns] 150 200 250 300 350 400 450 S [VEM peak] 0.2 0.4 0.6 0.8 1 1.2

x [km] 63.5 63.6 63.7 63.8 63.9 y [km] 47.1 47.2 47.3 47.4 47.5

FADC traces (25 ns) Detector signal (VEM) vs time Golden hybrid events: SD and FD Footprint on the camera

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 6

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SLIDE 14

Pierre Auger Observatory: event example

r [m] 500 1000 1500 2000 2500 3000 Signal [VEM] 1 10

2

10

3

10

4

10 / NDoF: 6.833/ 7

2

χ

S(1000 m) ]

2

slant depth [g/cm

400 600 800

)]

2

dE/dX [PeV/(g/cm

10 20 30 40 50

/Ndf= 167.37/217

2

χ

Lateral distribution: S(1000 m) Longitudinal profile: energy

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 6

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SLIDE 15

Pierre Auger Observatory: event example

r [m] 500 1000 1500 2000 2500 3000 Signal [VEM] 1 10

2

10

3

10

4

10 / NDoF: 6.833/ 7

2

χ

S(1000 m) ]

2

slant depth [g/cm

400 600 800

)]

2

dE/dX [PeV/(g/cm

10 20 30 40 50

/Ndf= 167.37/217

2

χ

Xmax⇒ composition Transfer the FD energy to the SD high statistics data! (no simulations needed) Lateral distribution: S(1000 m) Longitudinal profile: energy

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 6

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SLIDE 16

S(1000 m) to Energy

From ’Golden Hybrids’ (FD+SD) lateral particle distribution ↓ S(1000m) ↓ zenith angle correction (constant intensity cut method) ↓ S38 ↓ FD energy ↓ ESD

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 7

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SLIDE 17

S(1000 m)- Attenuation in the atmosphere

ground level inclined shower vertical shower

inclined S(1000m) < vertical S(1000m)

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 8

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SLIDE 18

Zenith angle correction: S(1000m) ⇒ S38

θ

2

cos

0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 S(1000 m) [VEM] 25 30 35 40 45 50 55 60

polynomial exponential

S38 S38(1000 m) = S(1000 m)/f(θ)

f(θ) = 1 + a · x + b · x2 , x = cos2 θ − cos2 38◦

  • correct all shower sizes to the same angle 38◦

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 9

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SLIDE 19

Energy Calibration

  • Stat. uncertainties:

S38◦ (≈ 16%)

  • shower to shower

fluctuations

  • reconstruction

EFD(≈ 8%)

  • reconstruction
  • atmosphere

E = A · SB

38◦

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 10

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SLIDE 20

Energy Scale Systematics

Absolute Fluorescence Yield 14% Pressure dependence of Fluorescence Yield 1% Humidity dependence of Fluorescence Yield 1% Temperature dependence of Fluorescence Yield 5% FD absolute calibration 11% FD wavelength dependence response 3% Rayleigh scattering in atmosphere 1% Wavelength dependence of aerosol scattering 1% FD reconstruction method 10% Invisible energy 5% Total: 22% experimental uncertainties to be improved

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 11

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SLIDE 21

Vertical Energy Spectrum

lg(E/eV) 18.5 19 19.5 20 20.5 ))

  • 1

sr

  • 1

s

  • 2

J /(m lg( E

  • 17
  • 16
  • 15
  • 14
  • 13

E[eV]

18

10 × 3

19

10

19

10 × 2

20

10

20

10 × 2

4128 2450 1631 1185

761 560 367 284 178 125 79 54 25 14 5 5 1 1

Auger ICRC 2007, vertical

5165 km2 sr year until ICRC 2007

0.8 × one year complete observatory

Events (observed/expected) above 4 · 1019 eV: 51/(132 ± 9) above 1020 eV: 2/(30 ± 2.5)

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 12

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SLIDE 22

Horizontal and Hybrid Energy Spectra

lg(E/eV) 18 18.5 19 19.5 20 20.5 ))

2

eV

  • 1

sr

  • 1

s

  • 2

J /(m

3

lg( E 23.5 24 24.5

E[eV]

18

10 × 2

19

10

19

10 × 2

20

10

20

10 × 2

Auger ICRC 2007, horizontal

lg(E/eV) 18 18.5 19 19.5 20 20.5 ))

2

eV

  • 1

sr

  • 1

s

  • 2

J /(m

3

lg( E 23.5 24 24.5

E[eV]

18

10 × 2

19

10

19

10 × 2

20

10

20

10 × 2

Auger ICRC 2007, hybrid

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 13

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SLIDE 23

Auger Energy Spectrum

lg(E/eV) 18 18.5 19 19.5 20 20.5 ))

2

eV

  • 1

sr

  • 1

s

  • 2

J /(m

3

lg( E 23.5 24 24.5

E[eV]

18

10 × 2

19

10

19

10 × 2

20

10

20

10 × 2

vertical hybrid horizontal combined

Very good agreement between the three spectra (< 3%)

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 14

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SLIDE 24

Auger Energy Spectrum: Spectral features

lg(E/eV) 18 18.5 19 19.5 20 20.5

  • 1

2.62

E × J/ A

  • 1
  • 0.5

0.5 1 1.5 2

E[eV]

18

10

18

10 × 2

19

10

19

10 × 2

20

10

20

10 × 2 Auger ICRC 2007, combined

γ1 = 3.30 ± 0.06 γ2 = 2.62 ± 0.03 γ3 = 4.14 ± 0.42

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 15

slide-25
SLIDE 25

Auger Energy Spectrum: Spectral features

lg(E/eV) 18 18.5 19 19.5 20 20.5

  • 1

2.62

E × J/ A

  • 1
  • 0.5

0.5 1 1.5 2

E[eV]

18

10

18

10 × 2

19

10

19

10 × 2

20

10

20

10 × 2 Auger ICRC 2007, combined

ankle: (4.46 ± 0.4) · 1018 eV flux suppression: (56 ± 8) · 1018 eV

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 15

slide-26
SLIDE 26

Anisotropies- energy spectrum

lg(E/eV) 18 18.5 19 19.5 20 20.5

  • 1

2.62

E × J/ A

  • 1
  • 0.5

0.5 1 1.5 2

E[eV]

18

10

18

10 × 2

19

10

19

10 × 2

20

10

20

10 × 2 Auger ICRC 2007, combined

  • the energy and redshift that maximise the signal are compatible

with the GZK horizon

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 16

slide-27
SLIDE 27

Anisotropies- energy spectrum

lg(E/eV) 18 18.5 19 19.5 20 20.5

  • 1

2.62

E × J/ A

  • 1
  • 0.5

0.5 1 1.5 2

E[eV]

18

10

18

10 × 2

19

10

19

10 × 2

20

10

20

10 × 2 Auger ICRC 2007, combined

Next talk by Raffaella Bonino

  • the energy and redshift that maximise the signal are compatible

with the GZK horizon

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 16

slide-28
SLIDE 28

Mass composition- energy spectrum

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 17

slide-29
SLIDE 29

Mass composition- energy spectrum

)

2

Slant depth (g/cm 200 300 400 500 600 700 800 900 1000 )

9

Number of charged particles (x10 1 2 3 4 5 6 7 8 Height a.s.l. (km) 2 4 6 8 10 12 eV

19

proton, E=10 Auger shower )

2

Slant depth (g/cm 200 300 400 500 600 700 800 900 1000 )

9

Number of charged particles (x10 1 2 3 4 5 6 7 8 Height a.s.l. (m) 2000 4000 6000 8000 10000 12000 eV

19

iron, E=10 Auger shower )

2

Slant depth (g/cm 200 300 400 500 600 700 800 900 1000 )

9

Number of charged particles (x10 1 2 3 4 5 6 7 8 Height a.s.l. (km) 2 4 6 8 10 12 eV

19

  • ray, E=10

γ Auger shower

  • Xmax

⇒ FD composition

  • shower front properties

⇒ SD composition

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 18

slide-30
SLIDE 30

Mass composition- energy spectrum

E [eV]

18

10

19

10

]

2

> [g/cm

max

<X

650 700 750 800 850

QGSJETII-03 QGSJET01 SIBYLL2.1 EPOS1.6

p r

  • t
  • n

i r

  • n

A

A: Allard et al. B: Berezinsky et al.

B

PAO-Hybrid HiRes-Stereo

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 19

slide-31
SLIDE 31

Conclusions

Auger energy spectrum

  • vertical SD spectrum acceptance: 5165 km2 sr year (02.2007)
  • good agreement between the three energy spectra
  • 6σ evidence for flux suppression at high energies
  • combined with the anisotropies studies ⇒ GZK effect

Composition

  • mean Xmax ⇒ mixed composition
  • (strong photon limits from SD+ independent FD: TD & SHDM

excluded)

  • (neutrino limits)
  • ....

Outlook

  • (soon) updated energy spectrum: 8000 km2 sr year
  • high statistics above 1019.8 eV needed to constrain models

⇒ Auger North

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 20

slide-32
SLIDE 32

Extra slides

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 21

slide-33
SLIDE 33

Neutrino limit

Neutrino Energy [eV]

14

10

16

10

18

10

20

10

22

10

24

10

26

10 ]

  • 1

sr

  • 1

s

  • 2

f(E) [GeV cm

2

E

  • 8

10

  • 7

10

  • 6

10

  • 5

10

  • 4

10

  • 3

10 AMANDA II HiRes HiRes HiRes Baikal RICE’06 GLUE’04 ANITA-lite FORTE’04 GZK neutrinos

Auger differential Auger integrated TD (Kal. 02) XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 22

slide-34
SLIDE 34

Auger Energy Spectrum: Extra slide 1

23 23.4 23.8 24.2 24.6 25 18 18.5 19 19.5 20 20.5 log(E/eV) log(J(E)*E3 (/m2 s sr eV-2)

HR-I (mono) HR-II (mono) AGASA Auger (2007)

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 23

slide-35
SLIDE 35

Auger Energy Spectrum: Extra slide 1

23 23.4 23.8 24.2 24.6 25 18 18.5 19 19.5 20 20.5 log(E/eV) log(J(E)*E3 (/m2 s sr eV-2)

Auger (2007, +17%) HR-I (mono) HR-II (mono) AGASA (-25%)

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 23

slide-36
SLIDE 36

Method of Constant Intensity

Hypothesis: cosmic ray flux is isotropic (at least in local coordinates) Φ = dN dΩdEdAeffdt SD data: projection on flat array geometry Aeff = A · cos θ intensity: events above a certain energy dI d cos2 θ = const

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 24

slide-37
SLIDE 37

Method of Constant Intensity

aim: find S(θ) from I = const, ∆ cos2 θ = const

lg( S(1000 m) /VEM) 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4 # 1 10

2

10

3

10

4

10

° < 0 θ < ° 25 ° < 25 θ < ° 37 ° < 37 θ < ° 47 ° < 47 θ < ° 59

/VEM)

38

lg( S 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4 # 1 10

2

10

3

10

4

10

° < 0 θ < ° 25 ° < 25 θ < ° 37 ° < 37 θ < ° 47 ° < 47 θ < ° 59

  • ’correct’ all shower sizes to same zenith angle 38◦

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 25

slide-38
SLIDE 38

Acceptance

iron

θ

2

cos 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 lg(E/eV) 17.6 17.8 18 18.2 18.4 18.6 18.8 19 19.2 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

proton

θ

2

cos 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 lg(E/eV) 17.6 17.8 18 18.2 18.4 18.6 18.8 19 19.2 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

  • trigger efficiency= 1 for E>4 EeV

(independent of primary mass, core position , etc)

  • cross-checked with hybrid events!
  • reconstruct any T5 event
  • aperture is sum of elementary hexagons

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 26

slide-39
SLIDE 39

Acceptance

  • trigger efficiency= 1 for E>4 EeV

(independent of primary mass, core position , etc)

  • cross-checked with hybrid events!
  • reconstruct any T5 event
  • aperture is sum of elementary hexagons

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 26

slide-40
SLIDE 40

Energy Calibration

  • Stat. uncertainties:

S38◦ (≈ 16%)

  • shower to shower

fluctuations

  • reconstruction

EFD(≈ 8%)

  • reconstruction
  • atmosphere

E = A · SB

38◦

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 27

slide-41
SLIDE 41

Photon limit

[eV] E

19

10

20

10 [%] Photon Fraction for E>E 1 10 100

SHDM SHDM’ TD Z Burst GZK Photons) Limit (E>E

A A A2 HP HP AY Y Y FD

limits at 95% CL

SHDM & TD: astro-ph/0506128 SHDM’: C.T. Hill Nucl.Phys. B224, 469(1983), T.W.B.Kibble, Rep. Prog.Phys. 58, 477(1995)

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 28

slide-42
SLIDE 42

Photon limit

[eV] E

19

10

20

10 ]

  • 1

yr

  • 1

sr

  • 2

[km Photon Flux for E>E

  • 3

10

  • 2

10

  • 1

10

SHDM SHDM’ TD Z Burst GZK Photons ) Limit (E>E

A

limits at 95% CL

SHDM & TD: astro-ph/0506128 SHDM’: C.T. Hill Nucl.Phys. B224, 469(1983), T.W.B.Kibble, Rep. Prog.Phys. 58, 477(1995)

XLIII nd Rencontres de Moriond- EW, 2008

  • I. C. Mari¸

s for the Pierre Auger Collaboration 28