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The energy spectrum from the KASCADE-Grande muon data Juan Carlos Arteaga-Velázquez for the KASCADE-Grande Collaboration Institute of Physics and Mathematics Universidad Michoacana Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

The energy spectrum from the KASCADE-Grande muon data

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The energy spectrum from the KASCADE-Grande muon data. Juan Carlos Arteaga-Velázquez for the KASCADE-Grande Collaboration. Institute of Physics and Mathematics Universidad Michoacana. - PowerPoint PPT Presentation

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Page 1: The energy spectrum from the KASCADE-Grande muon data

The energy spectrum from the KASCADE-Grande muon data

Juan Carlos Arteaga-Velázquezfor the KASCADE-Grande Collaboration

Institute of Physics and MathematicsUniversidad Michoacana

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Page 2: The energy spectrum from the KASCADE-Grande muon data

Outline

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Structure of the talk

1) Quality cuts

2) Efficiency studies

3) Muon correction functions

4) The muon spectra

5) The Integral flux

6) Attenuation curves

7) Adding muon data with the CIC method

8) Conversion into Energy

9) Energy spectrum

10) Summary

Page 3: The energy spectrum from the KASCADE-Grande muon data

Data sets:

MC data: Kreta v1.18.03

KG data: Kreta v1.18.04

Quality cuts:

0 < 40o

Rectangle: A 1.924 x 105 m2

Ndtg > 19

Successfully reconstructed

Nctot

log10(Nctot/8.5) > 2.9 log10(Ne/3.5) -10/3.5

N ≥ 2 105

Ne ≥ 1 105

Sven´s data quality base - No hardware, clock problems - Anka cut - No missing muon clusters

Iact & 1

Fanka < 4

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

1) Quality cuts

Page 4: The energy spectrum from the KASCADE-Grande muon data

2) Efficiency studies

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Working in region of maximum efficiency (E 2.5 1016 eV)

Page 5: The energy spectrum from the KASCADE-Grande muon data

3) Muon correction functions

N corrected for systematic effects:

N correctedN no corrected

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Page 6: The energy spectrum from the KASCADE-Grande muon data

3) Muon correction functions

N correctedN no corrected

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Page 7: The energy spectrum from the KASCADE-Grande muon data

3) Muon correction functions

N correctedN no corrected

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Page 8: The energy spectrum from the KASCADE-Grande muon data

3) Muon correction functions

Distribution of the systematic error of corrected N

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Width ~ 0.14 Use bin log10(N) = 0.1

Page 9: The energy spectrum from the KASCADE-Grande muon data

4) The muon spectra

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

teff = 754.3 days

Page 10: The energy spectrum from the KASCADE-Grande muon data

4) The muon spectra

Importance of the N correction function

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

p1 = -2.19 0.02

p1 = -2.43 0.02

Page 11: The energy spectrum from the KASCADE-Grande muon data

5) The integral flux

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Apply cut at constant J(>N)

For a given J, get N()

Work in region of maximum efficiency and statistics

Page 12: The energy spectrum from the KASCADE-Grande muon data

6) Attenuation curves

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Get attenuation curves Choose the closest curve to N()

Page 13: The energy spectrum from the KASCADE-Grande muon data

6) Attenuation curves

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Page 14: The energy spectrum from the KASCADE-Grande muon data

6) Attenuation curves

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

2 per degree of freedom when using a polynomial of 2nd and 1st degree in Sec for the fit

In general, lower values for Pol. 2nd degree

Page 15: The energy spectrum from the KASCADE-Grande muon data

7) Adding muon data with CIC method

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Find reference angle ref for normalization:

ref = mean = 23.7o

Page 16: The energy spectrum from the KASCADE-Grande muon data

7) Adding muon data with CIC method

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Muon spectra after applying CIC method

Good agreement: Difference from vertical spectrum is less than 3σ

Page 17: The energy spectrum from the KASCADE-Grande muon data

7) Adding muon data with CIC method

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Adding all muon spectra after applying CIC method

Page 18: The energy spectrum from the KASCADE-Grande muon data

8) Conversion into Energy

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Fit in region of maximum efficiency and statistics

FLUKA/QGSJET II

Page 19: The energy spectrum from the KASCADE-Grande muon data

8) Conversion into Energy

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Systematic error in reconstruction of energy:

Page 20: The energy spectrum from the KASCADE-Grande muon data

9) Energy spectrum

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Assuming mixed composition

Page 21: The energy spectrum from the KASCADE-Grande muon data

9) Energy spectrum

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Change Ne cut to access region of lower energies?

Page 22: The energy spectrum from the KASCADE-Grande muon data

9) Energy spectrum

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Systematics due to uncertainty in primary composition

H

Fe

Page 23: The energy spectrum from the KASCADE-Grande muon data

9) Energy spectrum

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Kreta v1.18/04 vs v1.18/02

Good agreement!

Page 24: The energy spectrum from the KASCADE-Grande muon data

9) Energy spectrum

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

Page 25: The energy spectrum from the KASCADE-Grande muon data

9) Summary

Energy spectrum from muon data – J.C. Arteaga Karlsruhe, December 2008

A preliminary all-particle primary energy spectrum was obtained from the muon data of KASCADE-Grande using the CIC method.

Agreement between results from Kreta v1.18/04 and v1.18/02.

According to CIC method, muon spectra corresponding to different are in good agreement.

By taking into account muon correction functions a change in slope of muon spectra is observed.

Calculation of systematics with new Kreta version are under way.