Abstract

We present a novel method to search for structures of coherently aligned patterns in ultra-high energy cosmic-ray arrival directions simultaneously across the entire sky. This method can be used to obtain information on the Galactic magnetic field, in particular the integrated component perpendicular to the line of sight, from cosmic-ray data only. Using a likelihood-ratio approach, neighboring cosmic rays are related by rotatable, elliptically shaped density distributions and the significance of their alignment with respect to circular distributions is evaluated. In this way, a vector field tangential to the celestial sphere is fitted which approximates the local deflections in cosmic magnetic fields if significant deflection structures are detected. The sensitivity of the method is evaluated on the basis of astrophysical simulations of the ultra-high energy cosmic-ray sky, where a discriminative power between isotropic and signal-induced scenarios is found.

Highlights

  • IntroductionIn previous analyses that aimed to verify such deflections of cosmic rays, local regions of arrival were examined for energy ordering, but no scientific evidence for particle deflections was found for any region [12,13,14]

  • Component orthogonal to the line-of-sight becomes accessible

  • We present a novel approach in which all cosmic-ray arrival directions are simultaneously examined for alignment structures without relying on a certain Galactic magnetic field (GMF) model [17]

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Summary

Introduction

In previous analyses that aimed to verify such deflections of cosmic rays, local regions of arrival were examined for energy ordering, but no scientific evidence for particle deflections was found for any region [12,13,14]. We present a novel approach in which all cosmic-ray arrival directions are simultaneously examined for alignment structures without relying on a certain GMF model [17]. The test statistics of all measured particles are used to answer the question whether coherent deflections exist in the cosmic-ray arrival directions. C (2021) 81:794 question is positive, the orientations of the ellipses indicate the directional deflections caused by the GMF This novel approach is hereafter referred to as: COherent Magnetic Pattern Alignment in a Structure Search (COMPASS). The ability to reconstruct the coherent directional deflections of the GMF and the advantages of using a circular reference model in the likelihood ratio are demonstrated in the following two chapters. The sensitivity of the method is investigated for both simulations, the simplified patterns, and the astrophysical universe

Analysis strategy
Tangent vector field
Maximum likelihood ratio
Normalization
Benchmark simulations
Benchmark 1: distinct source scenario
Benchmark 2: astrophysical simulation
Reference model of the likelihood ratio
Isotropic reference model E
Gaussian reference model Gi
Sensitivity studies
Sensitivity for distinct source scenario
Sensitivity for the astrophysical universe
Optimization of free parameters
Confidence in the JF12 GMF initialization
Ellipse geometry
Findings
Conclusion
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