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## Muon energy reconstruction with rime

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**Muon energy reconstruction with rime**Dmitry Chirkin, LBNL**From Gary’s talk:**usual hit positional/timing likelihood energy density terms Energy reconstruction From Chrisopher W. reconstruction paper: Therefore, w=1**Muon energy reconstruction**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. Energy can then be reconstructed using Area . Nc[m] = 32440 [m-1] (1.22+1.36 . 10-3 E/[GeV]) . 81 cm2**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**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**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.