Abstract

Currently the uncertainty in the prediction of shower observables for different primary particles and energies is dominated by differences between hadronic interaction models. The LHC data on minimum bias measurements can be used to test Monte Carlo generators and these new constrains will help to reduce the uncertainties in air shower predictions. In this article, after a short introduction on air showers we will show the results of the comparison between the updated version of high energy hadronic interaction models with LHC data. Results for air shower simulations and their consequence on the comparison with air shower data will be discussed. Most of the Astronomy and Astrophysics is done using electromagnetic signals from radio to gamma rays. It gives precious informations on the various objects observed in the Universe and their history. In fact a part of these signals is produced by elementary charged particles like electrons or nuclei which can escape the source and reach the Earth after a long propagation through the (extra)galactic medium. Eventually these charged particles may cross the path of the Earth and enter our field of view: they are cosmic rays. Due to the steeply falling energy spectrum of cosmic rays, direct detection by satellite- or balloon-borne instruments is only possible up to about ∼10 14 eV. Fortunately, at such high energies, the cascades of secondary particles produced by cosmic rays reach the ground and can be detected in coincidence experiments. The cascades are called extensive air showers (EAS) and are routinely used to make indirect measurements of high energy cosmic rays. The upper limit of the detectable energy is given by the area and exposure time of the detector. For instance, the Pierre Auger Observatory (PAO) (1), which is currently taking data in Argentina, is designed to detect particles of ∼10 20 eV for which the flux is less than one particle per km 2 and century. Air showers can be observed using different detection techniques. The most frequently employed technique is the measurement of secondary particles reaching ground. Using an array of particle detectors (for example, sensitive to e ± and ± ), the arrival direction and information on mass and energy of the primary cosmic ray can be reconstructed. The main observables are the number and the lateral (Fig. 2 left-hand side) and temporal distributions of the different secondary particles. At energies above ∼10 17 eV, the longitudinal development of a shower can be directly observed by measuring the fluorescence light induced by the charged particles traversing the atmosphere. Two main observables can be extracted from the longitudinal shower profile: the energy deposit or the number of particles, Nmax, at the shower maximum and Xmax, the atmospheric depth of the maximum (see Fig. 2 right-hand side). Again, these quantities can be used to estimate the energy and mass of the primary particles. Shower-to-shower fluctuations of all observables also provide very useful composition information.

Highlights

  • Most of the Astronomy and Astrophysics is done using electromagnetic signals from radio to gamma rays

  • Using a simple cascade model, it is possible to find the main parameters of hadronic interactions that influence air shower predictions

  • Using recent LHC data at 7 TeV it is possible to reduce the uncertainty in the extrapolation of the hadronic interaction models used for extensive air showers (EAS) simulations

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Summary

INTRODUCTION

Most of the Astronomy and Astrophysics is done using electromagnetic signals from radio to gamma rays. Two main observables can be extracted from the longitudinal shower profile: the energy deposit or the number of particles, Nmax, at the shower maximum and Xmax, the atmospheric depth of the maximum (see Fig. 2 right-hand side). These quantities can be used to estimate the energy and mass of the primary particles. Differences in modelling hadronic interactions, which cannot be resolved by current accelerator data, are the main source of uncertainty of air shower predictions [3, 4]. Using detailed Monte Carlo simulations done with conex [5], the new predictions for Xmax, for the number of muons and for the missing energy will be presented

HEITLER’S MODEL
Electromagnetic showers
Hadronic showers
Energy transfer
Muon component
HADRONIC INTERACTION MODELS AND LHC DATA
Cross section
Multiplicity
Baryon production
EAS SIMULATIONS
Findings
SUMMARY
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