A New Maximum-Likelihood Technique for Reconstructing Cosmic-Ray Anisotropy at All Angular Scales

TL;DR

This paper introduces an iterative maximum-likelihood method for accurately reconstructing cosmic-ray anisotropies across all angular scales, effectively disentangling detector effects without relying on simulations.

Contribution

It presents a novel maximum-likelihood approach that improves cosmic-ray anisotropy reconstruction, especially for dipole anisotropy, in ground-based observatories.

Findings

Effective recovery of dipole anisotropy.

Method does not depend on detector simulations.

Applicable to large- and small-scale anisotropies.

Abstract

The arrival directions of TeV-PeV cosmic rays show weak but significant anisotropies with relative intensities at the level of one per mille. Due to the smallness of the anisotropies, quantitative studies require careful disentanglement of detector effects from the observation. We discuss an iterative maximum-likelihood reconstruction that simultaneously fits cosmic ray anisotropies and detector acceptance. The method does not rely on detector simulations and provides an optimal anisotropy reconstruction for ground-based cosmic ray observatories located in the middle latitudes. It is particularly well suited to the recovery of the dipole anisotropy, which is a crucial observable for the study of cosmic ray diffusion in our Galaxy. We also provide general analysis methods for recovering large- and small-scale anisotropies that take into account systematic effects of the observation by ground-based detectors.