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Primary Energy Reconstruction Method for Air Shower Array Experiments

Primary Energy Reconstruction Method for Air Shower Array Experiments. Samvel Ter-Antonyan and Ali Fazely. Inverse Problem for All-particle energy spectrum . Event-by-event method. Unfolding. Advantage: simplicity Solution: analytical or numerical integration

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Primary Energy Reconstruction Method for Air Shower Array Experiments

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  1. Primary Energy Reconstruction Method for Air Shower Array Experiments SamvelTer-Antonyanand Ali Fazely

  2. Inverse Problem for All-particle energy spectrum Event-by-event method Unfolding Advantage: simplicity Solution: analytical or numerical integration [J. Phys. G: Nucl. Part. Phys. 35 (2008) 115] Disadvantage: ? The most experiments ignore the methodic errors. Advantage: general formulation Solutions: a) regularized unfolding iterative algorithm [KASCADE Collaboration , Astropart.Phys. 24 (2005) 1] b) parameterization of inverse problem + + a priory spectral info. [GAMMA Collaboration, Astropart.Phys. 28 (2007) 169] Disadvantage: Pseudo solutions for elemental spectra and undefined systematic errors for unfolding algorithms (KASCADE). [S. Ter-Antonyan, Astropart.Phys. 28 (2007) 321]

  3. Event-by-eventanalysis [GAMMA_09] [KASCADE-GRANDE] Energy estimator: [ICETOP_09] This work is ill-posed problem for F(E0)due to A  H, He, … Fe Redefinition of inverse problem:  =2.9 0.25 for 1 PeV  E0 < 500 PeV • a priori: • Let and and , for ,  - constant

  4. Solution for primary spectrum  2% , and |a|<< 0.1 where • Spectral errors: Statistic Errors Methodic Errors

  5. Multi-parametric energy estimator for ICETOP Array: • CORSIKA EAS SIMULATION • + • ICETOP DETECTOR RESPONSE • + • LDF RECONSTRUCTION min{2(a1,a2,…a6,(Ei)| E0,i)} i=1,…104, AH, He, O, Fe

  6. Expected biases and uncertainties of primary energy ICETOP • GAMMA Experiment <Ln(E1/E0)> if then Log(E0/GeV) (Ln(E1/E0)) Log(E0/GeV)

  7. Distribution of errors (~ Gaussian)

  8. Verification of method Expected reconstructed all-particle spectrum for ICETOP Primary energy spectra for p, He, O, Fefrom GAMMA Experiment data [GAMMA Collaboration, Astropart.Phys. 28 (2007) 169]

  9. Expected (red symbols) all-particle spectrum for ICETOP

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