中文

Planck 2013 结果. XV. CMB 功率谱与似然

宇宙学与河外天体物理 2014-10-29 v2

摘要

我们提出 Planck 似然,即对 CMB 温度涨落两点相关函数的完整统计描述。我们利用该似然推导了跨越三个 ll 量级的 Planck CMB 功率谱,覆盖 2l25002 \le l \le 2500。在 l1500l \le 1500 时,主要误差来源是宇宙方差。在更高 ll 处,小尺度前景建模和仪器噪声的不确定性主导了误差预算。对于 l<50l < 50,我们的似然通过物理驱动的贝叶斯成分分离技术利用了从 30 到 353 GHz 的所有 Planck 频率通道。在 l50l \ge 50 时,我们采用了基于 100、143 和 217 GHz 通道角交叉谱的相关高斯似然近似。我们通过一系列一致性测试验证了我们的似然,并评估了残余前景和仪器不确定性对宇宙学参数的影响。我们发现高 ll 交叉谱之间内部一致性良好,在 l1000l \le 1000 处残差为几 uK2\mathrm{uK}^2。我们将结果与去除前景的 CMB 图以及从 70 GHz Planck 图导出的交叉谱进行了比较,发现在谱残差和宇宙学参数方面广泛一致。最佳拟合的 LCDM 宇宙学与初步的 Planck 偏振谱高度一致。标准 LCDM 宇宙学被 Planck 在 l1500l \le 1500 范围内很好地约束。例如,我们报告了 ns1n_s \ne 15.4σ5.4\sigma 偏离。考虑标准模型之外的各种扩展,我们没有发现显著偏离 LCDM 框架的迹象。最后,我们报告了最佳拟合 LCDM 模型与低 ll 谱之间的张力,表现为在 l40l \lesssim 40 处有 5-10% 的功率亏损,显著性为 2.53σ2.5-3\sigma。我们不进一步阐述其宇宙学含义,但指出这是在该数据集其他方面显著一致的情况下最令人困惑的发现。(节选)

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引用

@article{arxiv.1303.5075,
  title  = {Planck 2013 results. XV. CMB power spectra and likelihood},
  author = {Planck collaboration and P. A. R. Ade and N. Aghanim and C. Armitage-Caplan and M. Arnaud and M. Ashdown and F. Atrio-Barandela and J. Aumont and C. Baccigalupi and A. J. Banday and R. B. Barreiro and J. G. Bartlett and E. Battaner and K. Benabed and A. Benoit and A. Benoit-Levy and J. -P. Bernard and M. Bersanelli and P. Bielewicz and J. Bobin and J. J. Bock and A. Bonaldi and L. Bonavera and J. R. Bond and J. Borrill and F. R. Bouchet and F. Boulanger and M. Bridges and M. Bucher and C. Burigana and R. C. Butler and E. Calabrese and J. -F. Cardoso and A. Catalano and A. Challinor and A. Chamballu and L. -Y Chiang and H. C. Chiang and P. R. Christensen and S. Church and D. L. Clements and S. Colombi and L. P. L. Colombo and C. Combet and F. Couchot and A. Coulais and B. P. Crill and A. Curto and F. Cuttaia and L. Danese and R. D. Davies and R. J. Davis and P. de Bernardis and A. de Rosa and G. de Zotti and J. Delabrouille and J. -M. Delouis and F. -X. Desert and C. Dickinson and J. M. Diego and H. Dole and S. Donzelli and O. Dore and M. Douspis and J. Dunkley and X. Dupac and G. Efstathiou and F. Elsner and T. A. Ensslin and H. K. Eriksen and F. Finelli and O. Forni and M. Frailis and A. A. Fraisse and E. Franceschi and T. C. Gaier and S. Galeotta and S. Galli and K. Ganga and M. Giard and G. Giardino and Y. Giraud-Heraud and E. Gjerlow and J. Gonzalez-Nuevo and K. M. Gorski and S. Gratton and A. Gregorio and A. Gruppuso and J. E. Gudmundsson and F. K. Hansen and D. Hanson and D. Harrison and G. Helou and S. Henrot-Versille and C. Hernandez-Monteagudo and D. Herranz and S. R. Hildebrandt and E. Hivon and M. Hobson and W. A. Holmes and A. Hornstrup and W. Hovest and K. M. Huffenberger and G. Hurier and T. R. Jaffe and A. H. Jaffe and J. Jewell and W. C. Jones and M. Juvela and E. Keihanen and R. Keskitalo and K. Kiiveri and T. S. Kisner and R. Kneissl and J. Knoche and L. Knox and M. Kunz and H. Kurki-Suonio and G. Lagache and A. Lahteenmaki and J. -M. Lamarre and A. Lasenby and M. Lattanzi and R. J. Laureijs and C. R. Lawrence and M. Le Jeune and S. Leach and J. P. Leahy and R. Leonardi and J. Leon-Tavares and J. Lesgourgues and M. Liguori and P. B. Lilje and V. Lindholm and M. Linden-Vornle and M. Lopez-Caniego and P. M. Lubin and J. F. Macias-Perez and B. Maffei and D. Maino and N. Mandolesi and D. Marinucci and M. Maris and D. J. Marshall and P. G. Martin and E. Martinez-Gonzalez and S. Masi and S. Matarrese and F. Matthai and P. Mazzotta and P. R. Meinhold and A. Melchiorri and L. Mendes and E. Menegoni and A. Mennella and M. Migliaccio and M. Millea and S. Mitra and M. -A. Miville-Deschenes and D. Molinari and A. Moneti and L. Montier and G. Morgante and D. Mortlock and A. Moss and D. Munshi and P. Naselsky and F. Nati and P. Natoli and C. B. Netterfield and H. U. Norgaard-Nielsen and F. Noviello and D. Novikov and I. Novikov and I. J. O'Dwyer and F. Orieux and S. Osborne and C. A. Oxborrow and F. Paci and L. Pagano and F. Pajot and R. Paladini and D. Paoletti and B. Partridge and F. Pasian and G. Patanchon and P. Paykari and O. Perdereau and L. Perotto and F. Perrotta and F. Piacentini and M. Piat and E. Pierpaoli and D. Pietrobon and S. Plaszczynski and E. Pointecouteau and G. Polenta and N. Ponthieu and L. Popa and T. Poutanen and G. W. Pratt and G. Prezeau and S. Prunet and J. -L. Puget and J. P. Rachen and A. Rahlin and R. Rebolo and M. Reinecke and M. Remazeilles and C. Renault and S. Ricciardi and T. Riller and C. Ringeval and I. Ristorcelli and G. Rocha and C. Rosset and G. Roudier and M. Rowan-Robinson and J. A. Rubino-Martin and B. Rusholme and M. Sandri and L. Sanselme and D. Santos and G. Savini and D. Scott and M. D. Seiffert and E. P. S. Shellard and L. D. Spencer and J. -L. Starck and V. Stolyarov and R. Stompor and R. Sudiwala and F. Sureau and D. Sutton and A. -S. Suur-Uski and J. -F. Sygnet and J. A. Tauber and D. Tavagnacco and L. Terenzi and L. Toffolatti and M. Tomasi and M. Tristram and M. Tucci and J. Tuovinen and M. Turler and L. Valenziano and J. Valiviita and B. Van Tent and J. Varis and P. Vielva and F. Villa and N. Vittorio and L. A. Wade and B. D. Wandelt and I. K. Wehus and M. White and S. D. M. White and D. Yvon and A. Zacchei and A. Zonca},
  journal= {arXiv preprint arXiv:1303.5075},
  year   = {2014}
}

备注

This paper is one of a set associated with the 2013 release of data from the Planck mission. 62 pages, 64 figures, 12 tables