Impact of prior assumptions on Bayesian estimates of inflation parameters and the expected gravitational waves signal from inflation

作者: Wessel Valkenburg , Lawrence M. Krauss , Jan Hamann

DOI: 10.1103/PHYSREVD.78.063521

关键词:

摘要: There has been much recent discussion, and some confusion, regarding the use of existing observational data to estimate likelihood that next-generation cosmic microwave background (CMB) polarization experiments might detect a nonzero tensor signal, possibly associated with inflation. We examine this issue in detail here two different ways: (1) first we explore effect choice parameter priors on estimation tensor-to-scalar ratio r other parameters describing inflation, (2) Bayesian complexity order determine how effectively can constrain inflationary parameters. demonstrate are not strong enough render full estimates parametrization- prior-independent way predicted signal is particularly sensitive priors. For parametrizations where comparable number free find flat prior scale inflation (which be distinguished from ratio) leads us infer larger, fact slightly contribution at 68% confidence level. However, no detection claimed. Our results all statistically relevant current time ismore » (slightly enhanced) upper bound r, stress remain consistent r=0.« less

参考文章(61)
Jonas Zmuidzinas, Thomas G. Phillips, Millimeter and Submillimeter Detectors for Astronomy SPIE. ,vol. 4855, ,(2003)
Viatcheslav F. Mukhanov, G. V. Chibisov, Quantum Fluctuations and a Nonsingular Universe Jetp Letters. ,vol. 33, pp. 532- 535 ,(1981)
F. Bernardeau, Lens distortion effects on CMB maps Astronomy and Astrophysics. ,vol. 338, pp. 767- 776 ,(1998)
Lawrence M. Krauss, Gravitational waves from global phase transitions Physics Letters B. ,vol. 284, pp. 229- 233 ,(1992) , 10.1016/0370-2693(92)90425-4
Julien Lesgourgues, Wessel Valkenburg, New constraints on the observable inflaton potential from WMAP and SDSS Physical Review D. ,vol. 75, pp. 123519- ,(2007) , 10.1103/PHYSREVD.75.123519
A.A. Starobinsky, A new type of isotropic cosmological models without singularity Physics Letters B. ,vol. 91, pp. 99- 102 ,(1980) , 10.1016/0370-2693(80)90670-X
Alexei A. Starobinsky, Wessel Valkenburg, Julien Lesgourgues, What do WMAP and SDSS really tell about inflation arXiv: Astrophysics. ,(2007) , 10.1088/1475-7516/2008/01/010
Edmund J. Copeland, Edward W. Kolb, Andrew R. Liddle, James E. Lidsey, Reconstructing the inflaton potential: In principle and in practice. Physical Review D. ,vol. 48, pp. 2529- 2547 ,(1993) , 10.1103/PHYSREVD.48.2529