Single Muon Response: Tracklength

TL;DR

This paper develops a model for the response of water Cherenkov detectors to single muons, deriving the tracklength distribution as a function of muon zenith angle to support muon counting methods.

Contribution

It provides an analytical model for muon tracklength distribution in water Cherenkov detectors based on zenith angle, aiding muon counting techniques.

Findings

Derived the probability distribution of muon tracklengths

Provided analytical support for muon counting methods

Enhanced understanding of detector response to single muons

Abstract

In this note we aim to infer a model for the response of a Pierre Auger water Cherenkov detector to an ideal single muon. The main goal of this analysis is to provide analytical support for muon counting techniques. In this note we derive the probability distribution of the muon tracklength as a function of the zenith angle of the muon.