Muon energy reconstruction with rime

Dmitry Chirkin, LBNL

Energy reconstruction

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From Gary’s talk:

usual hit positional/timing likelihood energy density terms

From Chrisopher W. reconstruction paper:

Therefore, w=1

Muon energy reconstruction

Energy can then be reconstructed using

Area . Nc [m] = 32440 [m-1] (1.22+1.36 . 10-3 E/[GeV]) . 81 cm2

The number of photons vs. distance to the track is constructed by merging 2 approximations: for the near and far (diffuse) regions. It works remarkably well (e.g., compared to similar approach for cascades).

The reconstructed parameter is number of photons per unit length of the muon track times the effective PMT area.

Dataset

Dataset used for energy calibration is nugen simulation, at cut level of A=4 (corresponding to the angular resolution of 4 degrees)

Energy proxies

Energy is estimated of the muon at the point of the closest approach to the COG of hits

Energy resolution plots

Energy proxy parameterization

Energy exact vs. reconstructed

Energy: exact vs. reconstructed

Energy resolution plots

Linearity/precision (rms)

Linearity holds and rms is 0.3 at log10(E) from 4.4 to 7.4

Linearity/precision (rms)For MC weighted with Honda spectrum

Linearity holds and rms is 0.3 at log10(E) from 3.6 to 7.6

Applying muon energy reconstruction to CORSIKA simultated data

Applying muon energy reconstruction to CORSIKA simultated data

Using only events with 1 contributing muon

No cuts/basic cuts

No cuts/basic cuts – Honda weighted

Summary

• Muon energy reconstruction with rime works very well and is a results of a joint reconstruction

• at the final upgoing muon signal cut level energy reconstruction works well in over 4 orders of magnitude of energies from 103.6 to 107.6 GeV with rms of 0.3.

• energy reconstruction appears to be functional at lower cut levels as well as for the downgoing shower data, with reduced resolution and narrower energy range.