Centre for Modeling and Simulation
Savitribai Phule Pune University All Models Are False, Some Are Useful

Technical Report CMS-TR-20140113


Title Model-independent forecasts of CMB angular power spectra for the Planck mission
Author/s Amir Aghamousa
Department of Physics, Savitribai Phule Pune University, Pune 411007 India
Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411 007 India

Mihir Arjunwadkar
National Centre for Radio Astrophysics, Savitribai Phule Pune University Campus, Pune 411 007, India
Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411 007 India

Tarun Souradeep
Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, Pune 411 007, India
Abstract The Planck mission, designed for making measurements of the cosmic microwave background (CMB) radiation with unprecedented accuracy and angular resolution, is expected to release its entire data in the near future. In this paper, we provide model-independent forecasts for the TT, EE, and TE angular power spectra for the Planck mission using synthetic data based on the best-fit Lambda cold dark matter (ΛCDM) model. The nonparametric function estimation methodology we use here is based on the agnostic viewpoint of allowing the data to speak for themselves rather than letting the models decide what is inferred from the data. Our analysis indicates that the three Planck angular power spectra will be determined sufficiently well for 2 <= l <~ lmax , where lmax = 2500(TT), 1377(EE), and 1727(TE) respectively. A key signature of reionization, namely, a bump at low values of l, is evident in our forecasts for the EE and TE power spectra. Nonparametric confidence bands in the phase shift (φm) versus acoustic scale (lA) plane, corresponding to the first eight peaks in the TT power spectrum, show a confluence region for 300 <~ lA <~ 305 which is in good agreement with the estimate lA = 300 based on the best-fit ΛCDM model. From our results, we expect that the final Planck data should lead to accurate model-independent estimates of CMB angular power spectra using our nonparametric regression formalism.
Keywords
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Citing This Document Amir Aghamousa, Mihir Arjunwadkar, and Tarun Souradeep , Model-independent forecasts of CMB angular power spectra for the Planck mission . Technical Report CMS-TR-20140113 of the Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411007, India (2014); available at http://cms.unipune.ac.in/reports/.
Notes, Published Reference, Etc. Published as Physical Review D 89, 023509 (2014)
Contact mihir AT cms.unipune.ac.in
Supplementary Material


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