Characterizing the Lyα forest flux probability distribution function using Legendre polynomials
Abstract
The Lyman-α forest is a highly non-linear field with considerable information available in the data beyond the power spectrum. The flux probability distribution function (PDF) has been used as a successful probe of small-scale physics. In this paper we argue that measuring coefficients of the Legendre polynomial expansion of the PDF offers several advantages over measuring the binned values as is commonly done. In particular, the n-th Legendre coefficient can be expressed as a linear combination of the first n moments, allowing these coefficients to be measured in the presence of noise and allowing a clear route for marginalisation over mean flux. Moreover, in the presence of noise, our numerical work shows that a finite number of coefficients are well measured with a very sharp transition into noise dominance. This compresses the available information into a small number of well-measured quantities. In conclusion, we find that the amount of recoverable information is a very non-linear function of spectral noise that strongly favors fewer quasars measured at better signal to noise.
- Authors:
-
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1413953
- Report Number(s):
- BNL-114793-2017-JA
Journal ID: ISSN 1475-7516; TRN: US1800602
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Cosmology and Astroparticle Physics
- Additional Journal Information:
- Journal Volume: 2017; Journal Issue: 10; Journal ID: ISSN 1475-7516
- Publisher:
- Institute of Physics (IOP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; Lyman alpha forest; intergalactic media; cosmological simulations
Citation Formats
Cieplak, Agnieszka M., and Slosar, Anze. Characterizing the Lyα forest flux probability distribution function using Legendre polynomials. United States: N. p., 2017.
Web. doi:10.1088/1475-7516/2017/10/013.
Cieplak, Agnieszka M., & Slosar, Anze. Characterizing the Lyα forest flux probability distribution function using Legendre polynomials. United States. https://doi.org/10.1088/1475-7516/2017/10/013
Cieplak, Agnieszka M., and Slosar, Anze. Thu .
"Characterizing the Lyα forest flux probability distribution function using Legendre polynomials". United States. https://doi.org/10.1088/1475-7516/2017/10/013. https://www.osti.gov/servlets/purl/1413953.
@article{osti_1413953,
title = {Characterizing the Lyα forest flux probability distribution function using Legendre polynomials},
author = {Cieplak, Agnieszka M. and Slosar, Anze},
abstractNote = {The Lyman-α forest is a highly non-linear field with considerable information available in the data beyond the power spectrum. The flux probability distribution function (PDF) has been used as a successful probe of small-scale physics. In this paper we argue that measuring coefficients of the Legendre polynomial expansion of the PDF offers several advantages over measuring the binned values as is commonly done. In particular, the n-th Legendre coefficient can be expressed as a linear combination of the first n moments, allowing these coefficients to be measured in the presence of noise and allowing a clear route for marginalisation over mean flux. Moreover, in the presence of noise, our numerical work shows that a finite number of coefficients are well measured with a very sharp transition into noise dominance. This compresses the available information into a small number of well-measured quantities. In conclusion, we find that the amount of recoverable information is a very non-linear function of spectral noise that strongly favors fewer quasars measured at better signal to noise.},
doi = {10.1088/1475-7516/2017/10/013},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 10,
volume = 2017,
place = {United States},
year = {Thu Oct 12 00:00:00 EDT 2017},
month = {Thu Oct 12 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Warm dark matter as a solution to the small scale crisis: New constraints from high redshift Lyman- forest data
journal, August 2013
- Viel, Matteo; Becker, George D.; Bolton, James S.
- Physical Review D, Vol. 88, Issue 4
Can Sterile Neutrinos Be the Dark Matter?
journal, November 2006
- Seljak, Uroš; Makarov, Alexey; McDonald, Patrick
- Physical Review Letters, Vol. 97, Issue 19
Constraining dark matter-baryon scattering with linear cosmology
journal, January 2014
- Dvorkin, Cora; Blum, Kfir; Kamionkowski, Marc
- Physical Review D, Vol. 89, Issue 2
Baryon acoustic oscillations in the Ly α forest of BOSS quasars
journal, April 2013
- Busca, N. G.; Delubac, T.; Rich, J.
- Astronomy & Astrophysics, Vol. 552
Baryon acoustic oscillations in the Ly α forest of BOSS DR11 quasars
journal, January 2015
- Delubac, Timothée; Bautista, Julian E.; Busca, Nicolás G.
- Astronomy & Astrophysics, Vol. 574
Lyman-alpha depression of the continuum from high-redshift quasars - A new technique applied in search of the Gunn-Peterson effect
journal, July 1991
- Jenkins, Edward B.; Ostriker, Jeremiah P.
- The Astrophysical Journal, Vol. 376
Radiative Transfer in a Clumpy Universe. II. The Ultraviolet Extragalactic Background
journal, April 1996
- Haardt, Francesco; Madau, Piero
- The Astrophysical Journal, Vol. 461
The Lyman α forest in optically thin hydrodynamical simulations
journal, December 2014
- Lukić, Zarija; Stark, Casey W.; Nugent, Peter
- Monthly Notices of the Royal Astronomical Society, Vol. 446, Issue 4
The Sherwood simulation suite: overview and data comparisons with the Lyman α forest at redshifts 2 ≤ z ≤ 5
journal, September 2016
- Bolton, James S.; Puchwein, Ewald; Sijacki, Debora
- Monthly Notices of the Royal Astronomical Society, Vol. 464, Issue 1
Baryon acoustic oscillations in the Ly α forest of BOSS DR11 quasars
journal, January 2015
- Delubac, Timothée; Bautista, Julian E.; Busca, Nicolás G.
- Astronomy & Astrophysics, Vol. 574
Constraint on neutrino masses from SDSS-III/BOSS Lyα forest and other cosmological probes
journal, February 2015
- Palanque-Delabrouille, Nathalie; Yèche, Christophe; Lesgourgues, Julien
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 02
Evidence for dark matter interactions in cosmological precision data?
journal, February 2016
- Lesgourgues, Julien; Marques-Tavares, Gustavo; Schmaltz, Martin
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 02
Cosmological and astrophysical constraints from the Lyman-alpha forest flux probability distribution function
text, January 2009
- Viel, M.; Bolton, J. S.; Haehnelt, M. G.
- arXiv
Constraining Dark Matter-Baryon Scattering with Linear Cosmology
text, January 2013
- Dvorkin, Cora; Blum, Kfir; Kamionkowski, Marc
- arXiv