Sensitivity of EAS measurements to the energy spectrum of muons

Abstract

We have studied how the energy spectrum of muons at production affects some of the most common measurements related to muons in extensive air shower studies, namely, the number of muons at the ground, the slope of the lateral distribution of muons, the apparent muon production depth, and the arrival time delay of muons at ground. We found that by changing the energy spectrum by an amount consistent with the difference between current models (namely EPOS-LHC and QGSjet-II.04), the muon surface density at ground increases $5\%$ at $20^{\circ }$ zenith angle and $17\%$ at $60^{\circ }$ zenith angle. This effect introduces a zenith angle dependence on the reconstructed number of muons which might be experimentally observed. The maximum of the muon production depth distribution at $40^{\circ }$ increases $\sim 10{\text{ g/cm}}^2$ and $\sim 0{\text{ g/cm}}^2$ at $60^{\circ }$, which, from pure geometrical considerations, increases the arrival time delay of muons. There is an extra contribution to the delay due to the subluminal velocities of muons of the order of $\sim 3$ ns at all zenith angles. Finally, changes introduced in the logarithmic slope of the lateral density function are less than 2%.

arXiv commentin Astroparticle Physics

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• Ultra-High-Energy Cosmic Rays: The Intersection of the Cosmic and Energy Frontiers
• MARTA: A high-energy cosmic-ray detector concept with high-accuracy muon measurement
• Composition determination of cosmic rays from the muon content of the showers