Abstract
In this work we introduce two new polynomial parametrizations of dark energy equation of state, w, and explore their correlation properties. The parameters to fit are the equation of state values at z = 0 and z = 0. 5, which have naturally low correlation and have already been shown to improve the popular Chevallier–Polarski–Linder (CPL) parametrization. We test our models with Type Ia Supernovae (SNeIa) and Baryon Acoustic Oscillations (BAO), in the form of both current and synthetic data. On one hand, we investigate the degree of improvement in dark energy constraints that can be achieved with future data. On the other hand, according to the Bayesian deviance information criterion (DIC), which penalizes large errors and correlations, we show that our models perform better than the CPL re-parametrization proposed by Wang (in terms of z = 0 and z = 0. 5). This is due to the combination of a lower correlation and smaller relative errors. The same holds for a frequentist perspective: our Figure-of-Merit is larger for our parametrizations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Albrecht, A.J., et al.: Findings of the joint dark energy mission figure of merit science working group (2009)
Amanullah, R., et al.: Spectra and light curves of six type ia supernovae at 0.511 < z < 1.12 and the union2 compilation. ApJ 716, 712–738 (2010)
Burigana, C., et al.: Forecast for the Planck precision on the tensor to scalar ratio and other cosmological parameters. ApJ 724, 588–607 (2010)
Percival, W.: Geometrical constraints from galaxy clustering measurements based on euclid spectroscopy. http://sci.esa.int/science-e/www/object/doc.cfm?fobjectid=46450 (2010)
Percival W., W.J., et al.: Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample. MNRAS 401, 2148–2168 (2010)
Riess, A.G., et al.: A Redetermination of the Hubble Constant with the Hubble Space Telescope from a Differential Distance Ladder. ApJ 699, 539–563 (2009)
Wang, Y.: Figure of merit for dark energy constraints from current observational data. Phys. Rev. D 77(12), 123,525 (2008)
Acknowledgements
The authors are supported by the Spanish Ministry of Science and Innovation through research projects FIS2010-15492, Consolider EPI CSD2010- 00064 and also by the Basque Government through the special research action KAFEA.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sendra, I., Lazkoz, R. (2014). SN and BAO Constraints on (New) Polynomial Dark Energy Parametrizations. In: GarcÃa-Parrado, A., Mena, F., Moura, F., Vaz, E. (eds) Progress in Mathematical Relativity, Gravitation and Cosmology. Springer Proceedings in Mathematics & Statistics, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40157-2_60
Download citation
DOI: https://doi.org/10.1007/978-3-642-40157-2_60
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-40156-5
Online ISBN: 978-3-642-40157-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)