Measurement of the cosmic ray spectrum above $4{\times}10^{18}$ eV using inclined events detected with the Pierre Auger Observatory
The Pierre Auger Collaboration: Alexander Aab, Pedro Abreu, Marco, Aglietta, Eun-Joo Ahn, Imen Al Samarai, Ivone Albuquerque, Ingomar Allekotte,, Patrick Allison, Alejandro Almela, Jesus Alvarez Castillo, Jaime, Alvarez-Mu\~niz, Rafael Alves Batista, Michelangelo Ambrosio

TL;DR
This study measures the ultra-high-energy cosmic ray spectrum above 4×10^{18} eV using inclined showers detected over a decade, confirming flux suppression at the highest energies and characterizing the spectral features.
Contribution
It provides the first detailed spectrum measurement of inclined cosmic-ray showers above 4×10^{18} eV, confirming flux suppression and precisely determining the energy at half flux suppression.
Findings
Flux suppression at the highest energies confirmed.
Spectral index above the ankle measured as 2.70.
Energy at half flux suppression estimated as 5.12×10^{19} eV.
Abstract
A measurement of the cosmic-ray spectrum for energies exceeding eV is presented, which is based on the analysis of showers with zenith angles greater than detected with the Pierre Auger Observatory between 1 January 2004 and 31 December 2013. The measured spectrum confirms a flux suppression at the highest energies. Above eV, the "ankle", the flux can be described by a power law with index followed by a smooth suppression region. For the energy () at which the spectral flux has fallen to one-half of its extrapolated value in the absence of suppression, we find eV.
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