Telescope Array (TA) and Auger experiments reported anisotropies in the arrival direction of ultra-high-energy cosmic rays (UHECRs).
In particular, Auger Collaboration reported a correlation between UHECR events and the flux model of assumed sources and suggested a contribution of starburst galaxies (SBGs) to the anisotropy of UHECRs.
However, in their study, the effect of coherent deflections by the galactic magnetic field (GMF) is not taken into account.
In this study, we investigated the effect of the GMF on the arrival directions of UHECRs using the cosmic ray propagation code CRPropa3.
We used a backtracking technique which consists of propagating antiparticles to map the flux outside the galaxy to at the earth.
We estimate the systematic effects caused by GMF in the reported likelihood analysis.
We conduct likelihood analysis for mock UHECR datasets based on the flux pattern through the GMF model.
We found systematic decrease of $(f_{\rm ani}, \:\theta)$ due to GMF.
As prospects for the TAx4 experiment and joint analysis of Auger and TA collaborations, we develop the likelihood analysis method with the convolution of the rigidity spectrum.