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Aab, A.; Aublin, J.; Billoir, P.; Blanco, M.; Caccianiga, L.; Dallier, Richard; Gaior, R.; Gate, F.; Ghia, P. L.; Lautridou, Pascal; Letessier-Selvon, A.; Maller, J.; Marin, V.; Martin, Lilian; Münchmeyer, M.; Ravel, O.; Revenu, Benoît; Settimo, M.; Cordier, A.; Garcia-Gamez, D.; Kégl, Balázs; Monnier Ragaigne, D.; Veberic, D.; Avenier, M.; Berat, C.; Le Coz, S.; Lebrun, D.; Louedec, K.; Montanet, F.; Stutz, A.; Tartare, M.; Samarai, Imen Al; Deligny, O.; Salamida, F.; Suomijärvi, T.; Lhenry-Yvon, I.; Martraire, D.
The Astrophysical journal, 10/2014, Volume: 794, Issue: 2Journal Article
Spherical harmonic moments are well-suited for capturing anisotropy at any scale in the flux of cosmic rays. An unambiguous measurement of the full set of spherical harmonic coefficients requires full-sky coverage. This can be achieved by combining data from observatories located in both the northern and southern hemispheres. To this end, a joint analysis using data recorded at the Telescope Array and the Pierre Auger Observatory above $10^{19}$ eV is presented in this work. The resulting multipolar expansion of the flux of cosmic rays allows us to perform a series of anisotropy searches, and in particular to report on the angular power spectrum of cosmic rays above $10^{19}$ eV. No significant deviation from isotropic expectations is found throughout the analyses performed. Upper limits on the amplitudes of the dipole and quadrupole moments are derived as a function of the direction in the sky, varying between 7% and 13% for the dipole and between 7% and 10% for a symmetric quadrupole.
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