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Searches for Large-Scale Anisotropy in the Arrival Directions of Cosmic Rays Detected above Energy of $10^{19}$ eV at the Pierre Auger Observatory and the Telescope Array

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arxiv 1409.3128 v1 pith:ZF3CZOIX submitted 2014-09-10 astro-ph.HE astro-ph.IM

The Pierre Auger , Telescope Array Collaborations: A.Aab , P.Abreu , M.Aglietta , E.J.Ahn , I.Al Samarai , I.F.M.Albuquerque , I.Allekotte
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J.Allen P.Allison A.Almela J.Alvarez Castillo J.Alvarez-Muñiz R.Alves Batista M.Ambrosio A.Aminaei L.Anchordoqui S.Andringa C.Aramo F.Arqueros H.Asorey P.Assis J.Aublin M.Ave M.Avenier G.Avila A.M.Badescu K.B.Barber J.Bäuml C.Baus J.J.Beatty K.H.Becker J.A.Bellido C.Berat X.Bertou P.L.Biermann P.Billoir M.Blanco C.Bleve H.Blümer M.Boháčová D.Boncioli C.Bonifazi R.Bonino N.Borodai J.Brack I.Brancus P.Brogueira W.C.Brown P.Buchholz A.Bueno S.Buitink M.Buscemi K.S.Caballero-Mora B.Caccianiga L.Caccianiga M.Candusso L.Caramete R.Caruso A.Castellina G.Cataldi L.Cazon R.Cester A.G.Chavez A.Chiavassa J.A.Chinellato J.Chudoba M.Cilmo R.W.Clay G.Cocciolo R.Colalillo A.Coleman L.Collica M.R.Coluccia R.Conceição F.Contreras M.J.Cooper A.Cordier S.Coutu C.E.Covault J.Cronin A.Curutiu R.Dallier B.Daniel S.Dasso K.Daumiller B.R.Dawson R.M.de Almeida M.De Domenico S.J.de Jong J.R.T.de Mello Neto I.De Mitri J.de Oliveira V.de Souza L.del Peral O.Deligny H.Dembinski N.Dhital C.Di Giulio A.Di Matteo J.C.Diaz M.L.Díaz Castro F.Diogo C.Dobrigkeit W.Docters J.C.D'Olivo A.Dorofeev Q.Dorosti Hasankiadeh M.T.Dova J.Ebr R.Engel M.Erdmann M.Erfani C.O.Escobar J.Espadanal A.Etchegoyen P.Facal San Luis H.Falcke K.Fang G.Farrar A.C.Fauth N.Fazzini A.P.Ferguson M.Fernandes B.Fick J.M.Figueira A.Filevich A.Filipčič B.D.Fox O.Fratu U.Fröhlich B.Fuchs T.Fuji R.Gaior B.García S.T.Garcia Roca D.Garcia-Gamez D.Garcia-Pinto G.Garilli A.Gascon Bravo F.Gate H.Gemmeke P.L.Ghia U.Giaccari M.Giammarchi M.Giller C.Glaser H.Glass M.Gómez Berisso P.F.Gómez Vitale P.Gonçalves J.G.Gonzalez N.González B.Gookin A.Gorgi P.Gorham P.Gouffon S.Grebe N.Griffith A.F.Grillo T.D.Grubb Y.Guardincerri F.Guarino G.P.Guedes M.R.Hampel P.Hansen D.Harari T.A.Harrison S.Hartmann J.L.Harton A.Haungs T.Hebbeker D.Heck P.Heimann A.E.Herve G.C.Hill C.Hojvat N.Hollon E.Holt P.Homola J.R.Hörandel P.Horvath M.Hrabovský D.Huber T.Huege A.Insolia P.G.Isar K.Islo I.Jandt S.Jansen C.Jarne M.Josebachuili A.Kääpä O.Kambeitz K.H.Kampert P.Kasper I.Katkov B.Kégl B.Keilhauer A.Keivani E.Kemp R.M.Kieckhafer H.O.Klages M.Kleifges J.Kleinfeller R.Krause N.Krohm O.Krömer D.Kruppke-Hansen D.Kuempel N.Kunka G.La Rosa D.LaHurd L.Latronico R.Lauer M.Lauscher P.Lautridou S.Le Coz M.S.A.B.Leão D.Lebrun P.Lebrun M.A.Leigui de Oliveira A.Letessier-Selvon I.Lhenry-Yvon K.Link R.López A.Lopez Agüera K.Louedec J.Lozano Bahilo L.Lu A.Lucero M.Ludwig M.C.Maccarone M.Malacari S.Maldera M.Mallamaci J.Maller D.Mandat P.Mantsch A.G.Mariazzi V.Marin I.C.Mariş G.Marsella D.Martello L.Martin H.Martinez O.Martínez Bravo D.Martraire J.J.Masías Meza H.J.Mathes S.Mathys J.A.J.Matthews J.Matthews G.Matthiae D.Maurel D.Maurizio E.Mayotte P.O.Mazur C.Medina G.Medina-Tanco M.Melissas D.Melo E.Menichetti A.Menshikov S.Messina R.Meyhandan S.Mićanović M.I.Micheletti L.Middendorf I.A.Minaya L.Miramonti B.Mitrica L.Molina-Bueno S.Mollerach M.Monasor D.Monnier Ragaigne F.Montanet C.Morello M.Mostafá C.A.Moura M.A.Muller G.Müller M.Münchmeyer R.Mussa G.Navarra S.Navas P.Necesal L.Nellen A.Nelles J.Neuser M.Niechciol L.Niemietz T.Niggemann D.Nitz D.Nosek V.Novotny L.Nožka L.Ochilo A.Olinto M.Oliveira N.Pacheco D.Pakk Selmi-Dei M.Palatka J.Pallotta N.Palmieri P.Papenbreer G.Parente A.Parra T.Paul M.Pech J.Pekala R.Pelayo I.M.Pepe L.Perrone R.Pesce E.Petermann C.Peters S.Petrera A.Petrolini Y.Petrov J.Phuntsok R.Piegaia T.Pierog P.Pieroni M.Pimenta V.Pirronello M.Platino M.Plum A.Porcelli C.Porowski R.R.Prado P.Privitera M.Prouza V.Purrello E.J.Quel S.Querchfeld S.Quinn J.Rautenberg O.Ravel D.Ravignani B.Revenu J.Ridky S.Riggi M.Risse P.Ristori V.Rizi J.Roberts W.Rodrigues de Carvalho I.Rodriguez Cabo G.Rodriguez Fernandez J.Rodriguez Rojo M.D.Rodríguez-Frías G.Ros J.Rosado T.Rossler M.Roth E.Roulet A.C.Rovero S.J.Saffi A.Saftoiu F.Salamida H.Salazar A.Saleh F.Salesa Greus G.Salina F.Sánchez P.Sanchez-Lucas C.E.Santo E.Santos E.M.Santos F.Sarazin B.Sarkar R.Sarmento R.Sato N.Scharf V.Scherini H.Schieler P.Schiffer O.Scholten H.Schoorlemmer P.Schovánek A.Schulz J.Schulz J.Schumacher S.J.Sciutto A.Segreto M.Settimo A.Shadkam R.C.Shellard I.Sidelnik G.Sigl O.Sima A.Śmia{l} R.Šmída G.R.Snow P.Sommers J.Sorokin R.Squartini Y.N.Srivastava S.Stanič J.Stapleton J.Stasielak M.Stephan A.Stutz F.Suarez T.Suomijärvi A.D.Supanitsky M.S.Sutherland J.Swain Z.Szadkowski M.Szuba O.A.Taborda A.Tapia M.Tartare V.M.Theodoro C.Timmermans C.J.Todero Peixoto G.Toma L.Tomankova B.Tomé A.Tonachini G.Torralba Elipe D.Torres Machado P.Travnicek E.Trovato M.Tueros R.Ulrich M.Unger M.Urban J.F.Valdés Galicia I.Valiño L.Valore G.van Aar A.M.van den Berg S.van Velzen A.van Vliet E.Varela B.Vargas Cárdenas G.Varner J.R.Vázquez R.A.Vázquez D.Veberič V.Verzi J.Vicha M.Videla L.Villaseñor B.Vlcek S.Vorobiov H.Wahlberg O.Wainberg D.Walz A.A.Watson M.Weber K.Weidenhaupt A.Weindl F.Werner A.Widom L.Wiencke B.Wilczyńska H.Wilczyński M.Will C.Williams T.Winchen D.Wittkowski B.Wundheiler S.Wykes T.Yamamoto T.Yapici P.Younk G.Yuan A.Yushkov B.Zamorano E.Zas D.Zavrtanik M.Zavrtanik I.Zaw A.Zepeda J.Zhou Y.Zhu M.Zimbres Silva M.Ziolkowski R.U.Abbasi M.Abe T.Abu-Zayyad M.Allen R.Anderson R.Azuma E.Barcikowski J.W.Belz D.R.Bergman S.A.Blake R.Cady M.J.Chae B.G.Cheon J.Chiba M.Chikawa W.R.Cho T.Fujii M.Fukushima T.Goto W.Hanlon Y.Hayashi N.Hayashida K.Hibino K.Honda D.Ikeda N.Inoue T.Ishii R.Ishimori H.Ito D.Ivanov C.C.H.Jui K.Kadota F.Kakimoto O.Kalashev K.kasahara H.Kawai S.Kawakami S.Kawana K.Kawata E.Kido H.B.Kim J.H.Kim S.Kitamura Y.Kitamura V.Kuzmin Y.J.Kwon J.Lan S.I.Lim J.P.Lundquist K.Machida K.Martens T.Matsuda T.Matsuyama J.N.Matthews M.Minamino K.Mukai I.Myers K.Nagasawa S.Nagataki T.Nakamura T.Nonaka A.Nozato S.Ogio J.Ogura M.Ohnishi H.Ohoka K.Oki T.Okuda M.Ono A.Oshima S.Ozawa I.H.Park M.S.Pshirkov D.C.Rodriguez G.Rubtsov D.Ryu H.Sagawa N.Sakurai A.L.Sampson L.M.Scott P.D.Shah F.Shibata T.Shibata H.Shimodaira B.K.Shin J.D.Smith P.Sokolsky R.W.Springer B.T.Stokes S.R.Stratton T.A.Stroman T.Suzawa M.Takamura M.Takeda R.Takeishi A.Taketa M.Takita Y.Tameda H.Tanaka K.Tanaka M.Tanaka S.B.Thomas G.B.Thomson P.Tinyakov I.Tkachev H.Tokuno T.Tomida S.Troitsky Y.Tsunesada K.Tsutsumi Y.Uchihori S.Udo F.Urban G.Vasiloff T.Wong R.Yamane H.Yamaoka K.Yamazaki J.Yang K.Yashiro Y.Yoneda S.Yoshida H.Yoshii R.Zollinger Z.Zundel
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keywords cosmicraysaboveanisotropyarrayaugerdatadipole
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abstract

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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