skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Bias due to neutrinos must not uncorrect'd go

Abstract

It is a well known fact that galaxies are biased tracers of the distribution of matter in the Universe. The galaxy bias is usually factored as a function of redshift and scale, and approximated as being scale-independent on large, linear scales. In cosmologies with massive neutrinos, the galaxy bias defined with respect to the total matter field (cold dark matter, baryons, and non-relativistic neutrinos) also depends on the sum of the neutrino masses M ν, and becomes scale-dependent even on large scales. This effect has been usually neglected given the sensitivity of current surveys. Yet, it becomes a severe systematic for future surveys aiming to provide the first detection of non-zero M ν. The effect can be corrected for by defining the bias with respect to the density field of cold dark matter and baryons, rather than the total matter field. In this work, we provide a simple prescription for correctly mitigating the neutrino-induced scale-dependent bias effect in a practical way. We clarify a number of subtleties regarding how to properly implement this correction in the presence of redshift-space distortions and non-linear evolution of perturbations. We perform a Markov Chain Monte Carlo analysis on simulated galaxy clustering data that matchmore » the expected sensitivity of the Euclid survey. We reveal that the neutrino-induced scale-dependent bias can lead to important shifts in both the inferred mean value of M ν, as well as its uncertainty, and provide an analytical explanation for the magnitude of the shifts. We show how these shifts propagate to the inferred values of other cosmological parameters correlated with M ν, such as the cold dark matter physical density Ω cdm h 2 and the scalar spectral index n s. In the end, we find that correctly accounting for the neutrino-induced scale-dependent bias will be of crucial importance for future galaxy clustering analyses. We encourage the cosmology community to correctly account for this effect using the simple prescription we present in our work. The tools necessary to easily correct for the neutrino-induced scale-dependent bias will be made publicly available in an upcoming release of the Boltzmann solver CLASS.« less

Authors:
 [1];  [2];  [3];  [4];  [5];  [3];  [3]
  1. Stockholm Univ. (Sweden); Nordic Inst. for Theoretical Physics (NORDITA), Stockholm (Sweden)
  2. RWTH Aachen Univ. (Germany), Inst. for Theoretical Particle Physics and Cosmology (TTK)
  3. RWTH Aachen Univ. (Germany)
  4. Stockholm Univ. (Sweden); Nordic Inst. for Theoretical Physics (NORDITA), Stockholm (Sweden); Univ. of Michigan, Ann Arbor, MI (United States)
  5. Stockholm Univ. (Sweden)
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Energy Research Scientific Computing Center (NERSC); Swedish Research Council (SRC)
OSTI Identifier:
1547001
Grant/Contract Number:  
SC0007859
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2018; Journal Issue: 09; Journal ID: ISSN 1475-7516
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Vagnozzi, Sunny, Brinckmann, Thejs, Archidiacono, Maria, Freese, Katherine, Gerbino, Martina, Lesgourgues, Julien, and Sprenger, Tim. Bias due to neutrinos must not uncorrect'd go. United States: N. p., 2018. Web. doi:10.1088/1475-7516/2018/09/001.
Vagnozzi, Sunny, Brinckmann, Thejs, Archidiacono, Maria, Freese, Katherine, Gerbino, Martina, Lesgourgues, Julien, & Sprenger, Tim. Bias due to neutrinos must not uncorrect'd go. United States. doi:10.1088/1475-7516/2018/09/001.
Vagnozzi, Sunny, Brinckmann, Thejs, Archidiacono, Maria, Freese, Katherine, Gerbino, Martina, Lesgourgues, Julien, and Sprenger, Tim. Mon . "Bias due to neutrinos must not uncorrect'd go". United States. doi:10.1088/1475-7516/2018/09/001. https://www.osti.gov/servlets/purl/1547001.
@article{osti_1547001,
title = {Bias due to neutrinos must not uncorrect'd go},
author = {Vagnozzi, Sunny and Brinckmann, Thejs and Archidiacono, Maria and Freese, Katherine and Gerbino, Martina and Lesgourgues, Julien and Sprenger, Tim},
abstractNote = {It is a well known fact that galaxies are biased tracers of the distribution of matter in the Universe. The galaxy bias is usually factored as a function of redshift and scale, and approximated as being scale-independent on large, linear scales. In cosmologies with massive neutrinos, the galaxy bias defined with respect to the total matter field (cold dark matter, baryons, and non-relativistic neutrinos) also depends on the sum of the neutrino masses Mν, and becomes scale-dependent even on large scales. This effect has been usually neglected given the sensitivity of current surveys. Yet, it becomes a severe systematic for future surveys aiming to provide the first detection of non-zero Mν. The effect can be corrected for by defining the bias with respect to the density field of cold dark matter and baryons, rather than the total matter field. In this work, we provide a simple prescription for correctly mitigating the neutrino-induced scale-dependent bias effect in a practical way. We clarify a number of subtleties regarding how to properly implement this correction in the presence of redshift-space distortions and non-linear evolution of perturbations. We perform a Markov Chain Monte Carlo analysis on simulated galaxy clustering data that match the expected sensitivity of the Euclid survey. We reveal that the neutrino-induced scale-dependent bias can lead to important shifts in both the inferred mean value of Mν, as well as its uncertainty, and provide an analytical explanation for the magnitude of the shifts. We show how these shifts propagate to the inferred values of other cosmological parameters correlated with Mν, such as the cold dark matter physical density Ωcdm h2 and the scalar spectral index ns. In the end, we find that correctly accounting for the neutrino-induced scale-dependent bias will be of crucial importance for future galaxy clustering analyses. We encourage the cosmology community to correctly account for this effect using the simple prescription we present in our work. The tools necessary to easily correct for the neutrino-induced scale-dependent bias will be made publicly available in an upcoming release of the Boltzmann solver CLASS.},
doi = {10.1088/1475-7516/2018/09/001},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 09,
volume = 2018,
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Global analyses of neutrino oscillation experiments
journal, July 2016


Neutrino masses and mixings: Status of known and unknown 3 ν parameters
journal, July 2016


Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
journal, January 2017

  • Esteban, Ivan; Gonzalez-Garcia, M. C.; Maltoni, Michele
  • Journal of High Energy Physics, Vol. 2017, Issue 1
  • DOI: 10.1007/JHEP01(2017)087

Global constraints on absolute neutrino masses and their ordering
journal, May 2017


Status of neutrino oscillations 2018: 3 σ hint for normal mass ordering and improved CP sensitivity
journal, July 2018


Massive neutrinos and cosmology
journal, July 2006


Neutrino Mass in Cosmology: Status and Prospects
journal, November 2011


Status of Neutrino Properties and Future Prospects—Cosmological and Astrophysical Constraints
journal, February 2018


Planck 2015 results : XIII. Cosmological parameters
journal, September 2016


Neutrino masses and cosmology with Lyman-alpha forest power spectrum
journal, November 2015

  • Palanque-Delabrouille, Nathalie; Yèche, Christophe; Baur, Julien
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 11
  • DOI: 10.1088/1475-7516/2015/11/011

Cosmological axion and neutrino mass constraints from Planck 2015 temperature and polarization data
journal, January 2016


Neutrino mass limits: Robust information from the power spectrum of galaxy surveys
journal, September 2016


Constraints on the neutrino mass and mass hierarchy from cosmological observations
journal, September 2016


Constraining the time evolution of dark energy, curvature and neutrino properties with cosmic chronometers
journal, December 2016

  • Moresco, Michele; Jimenez, Raul; Verde, Licia
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 12
  • DOI: 10.1088/1475-7516/2016/12/039

Improvement of cosmological neutrino mass bounds
journal, October 2016


The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
journal, March 2017

  • Alam, Shadab; Ata, Metin; Bailey, Stephen
  • Monthly Notices of the Royal Astronomical Society, Vol. 470, Issue 3
  • DOI: 10.1093/mnras/stx721

Unveiling ν secrets with cosmological data: Neutrino masses and mass hierarchy
journal, December 2017


Cosmological constraints on the neutrino mass including systematic uncertainties
journal, October 2017


Global Bayesian analysis of neutrino mass data
journal, October 2017


New cosmological constraints with extended-Baryon Oscillation Spectroscopic Survey DR14 quasar sample
journal, November 2017


Constraints from thermal Sunyaev-Zel’dovich cluster counts and power spectrum combined with CMB
journal, June 2018


Probing the properties of relic neutrinos using the cosmic microwave background, the Hubble Space Telescope and galaxy clusters
journal, November 2017

  • Nunes, Rafael C.; Bonilla, Alexander
  • Monthly Notices of the Royal Astronomical Society, Vol. 473, Issue 4
  • DOI: 10.1093/mnras/stx2661

Cosmological constraints from galaxy clustering in the presence of massive neutrinos
journal, March 2018

  • Zennaro, M.; Bel, J.; Dossett, J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 477, Issue 1
  • DOI: 10.1093/mnras/sty670

Impacts of gravitational-wave standard siren observation of the Einstein Telescope on weighing neutrinos in cosmology
journal, July 2018


Cosmology and the neutrino mass ordering
journal, November 2016


Detecting the neutrinos mass hierarchy from cosmological data
journal, December 2017


Strong Bayesian evidence for the normal neutrino hierarchy
journal, June 2017

  • Simpson, Fergus; Jimenez, Raul; Pena-Garay, Carlos
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 06
  • DOI: 10.1088/1475-7516/2017/06/029

Neutrino mass priors for cosmology from random matrices
journal, February 2018


Neutrino masses and their ordering: global data, priors and models
journal, March 2018

  • Gariazzo, S.; Archidiacono, M.; de Salas, P. F.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 03
  • DOI: 10.1088/1475-7516/2018/03/011

Objective Bayesian analysis of neutrino masses and hierarchy
journal, April 2018


Neutrino Masses and the Dark Energy Equation of State:Relaxing the Cosmological Neutrino Mass Bound
journal, November 2005


Effects of neutrino mass hierarchies on dynamical dark energy models
journal, May 2017


Distinguishing between neutrinos and time-varying dark energy through cosmic time
journal, August 2017


The CMB neutrino mass/vacuum energy degeneracy: a simple derivation of the degeneracy slopes
journal, March 2018

  • Sutherland, Will
  • Monthly Notices of the Royal Astronomical Society, Vol. 477, Issue 2
  • DOI: 10.1093/mnras/sty687

Probing neutrino masses with future galaxy redshift surveys
journal, August 2004


Neutrino constraints from future nearly all-sky spectroscopic galaxy surveys
journal, March 2011

  • Carbone, Carmelita; Verde, Licia; Wang, Yun
  • Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 03
  • DOI: 10.1088/1475-7516/2011/03/030

Measuring neutrino masses with a future galaxy survey
journal, November 2012

  • Hamann, Jan; Hannestad, Steen; Wong, Yvonne Y. Y.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 11
  • DOI: 10.1088/1475-7516/2012/11/052

Neutrino masses and cosmological parameters from a Euclid-like survey: Markov Chain Monte Carlo forecasts including theoretical errors
journal, January 2013

  • Audren, Benjamin; Lesgourgues, Julien; Bird, Simeon
  • Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 01
  • DOI: 10.1088/1475-7516/2013/01/026

Towards a cosmological neutrino mass detection
journal, December 2015


Future CMB tests of dark matter: Ultralight axions and massive neutrinos
journal, June 2017


Physical effects involved in the measurements of neutrino masses with future cosmological data
journal, February 2017

  • Archidiacono, Maria; Brinckmann, Thejs; Lesgourgues, Julien
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 02
  • DOI: 10.1088/1475-7516/2017/02/052

Neutrino masses and beyond- Λ CDM cosmology with LSST and future CMB experiments
journal, June 2018


Large-scale galaxy bias
journal, February 2018


Cosmology with massive neutrinos I: towards a realistic modeling of the relation between matter, haloes and galaxies
journal, March 2014

  • Villaescusa-Navarro, Francisco; Marulli, Federico; Viel, Matteo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 03
  • DOI: 10.1088/1475-7516/2014/03/011

Cosmology with massive neutrinos II: on the universality of the halo mass function and bias
journal, February 2014

  • Castorina, Emanuele; Sefusatti, Emiliano; Sheth, Ravi K.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 02
  • DOI: 10.1088/1475-7516/2014/02/049

Cosmology with massive neutrinos III: the halo mass function and an application to galaxy clusters
journal, December 2013

  • Costanzi, Matteo; Villaescusa-Navarro, Francisco; Viel, Matteo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 12
  • DOI: 10.1088/1475-7516/2013/12/012

DEMNUni: the clustering of large-scale structures in the presence of massive neutrinos
journal, July 2015

  • Castorina, Emanuele; Carbone, Carmelita; Bel, Julien
  • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 07
  • DOI: 10.1088/1475-7516/2015/07/043

Nonlocal halo bias with and without massive neutrinos
journal, August 2014


Biases from neutrino bias: to worry or not to worry?
journal, August 2018

  • Raccanelli, Alvise; Verde, Licia; Villaescusa-Navarro, Francisco
  • Monthly Notices of the Royal Astronomical Society, Vol. 483, Issue 1
  • DOI: 10.1093/mnras/sty2162

Redshift-space bias and   from the halo model
journal, August 2001


Constraints on a scale-dependent bias from galaxy clustering
journal, January 2017


Halo bias in mixed dark matter cosmologies
journal, October 2014


Spherical collapse in ν Λ CDM
journal, October 2014


Neutrino mass without cosmic variance
journal, May 2016


Scale-dependent bias and bispectrum in neutrino separate universe simulations
journal, June 2018


Efficient computation of galaxy bias with neutrinos and other relics
journal, August 2018


Cosmology and Fundamental Physics with the Euclid Satellite
journal, September 2013

  • Amendola, Luca; Appleby, Stephen; Bacon, David
  • Living Reviews in Relativity, Vol. 16, Issue 1
  • DOI: 10.12942/lrr-2013-6

Cosmology and fundamental physics with the Euclid satellite
journal, April 2018

  • Amendola, Luca; Appleby, Stephen; Avgoustidis, Anastasios
  • Living Reviews in Relativity, Vol. 21, Issue 1
  • DOI: 10.1007/s41114-017-0010-3

Clustering in real space and in redshift space
journal, July 1987

  • Kaiser, Nick
  • Monthly Notices of the Royal Astronomical Society, Vol. 227, Issue 1
  • DOI: 10.1093/mnras/227.1.1

Interpreting large-scale redshift-space distortion measurements: Large-scale redshift-space distortions
journal, January 2012


LATE-TIME COSMOLOGY WITH 21 cm INTENSITY MAPPING EXPERIMENTS
journal, April 2015


The Imprint of Neutrinos on Clustering in Redshift Space
journal, July 2018

  • Villaescusa-Navarro, Francisco; Banerjee, Arka; Dalal, Neal
  • The Astrophysical Journal, Vol. 861, Issue 1
  • DOI: 10.3847/1538-4357/aac6bf

Revising the Halofit Model for the Nonlinear Matter Power Spectrum
journal, December 2012

  • Takahashi, Ryuichi; Sato, Masanori; Nishimichi, Takahiro
  • The Astrophysical Journal, Vol. 761, Issue 2
  • DOI: 10.1088/0004-637X/761/2/152

An accurate halo model for fitting non-linear cosmological power spectra and baryonic feedback models
journal, October 2015

  • Mead, A. J.; Peacock, J. A.; Heymans, C.
  • Monthly Notices of the Royal Astronomical Society, Vol. 454, Issue 2
  • DOI: 10.1093/mnras/stv2036

Massive neutrinos and the non-linear matter power spectrum: The matter power with neutrinos
journal, January 2012


The Cosmic Linear Anisotropy Solving System (CLASS). Part II: Approximation schemes
journal, July 2011

  • Blas, Diego; Lesgourgues, Julien; Tram, Thomas
  • Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 07
  • DOI: 10.1088/1475-7516/2011/07/034

Nonlinear biasing and redshift-space distortions in Lagrangian resummation theory and N -body simulations
journal, August 2011


Probing cosmological parameters with the CMB: forecasts from Monte Carlo simulations
journal, October 2006

  • Perotto, Laurence; Lesgourgues, Julien; Hannestad, Steen
  • Journal of Cosmology and Astroparticle Physics, Vol. 2006, Issue 10
  • DOI: 10.1088/1475-7516/2006/10/013

Conservative constraints on early cosmology with M ONTE P YTHON
journal, February 2013

  • Audren, Benjamin; Lesgourgues, Julien; Benabed, Karim
  • Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 02
  • DOI: 10.1088/1475-7516/2013/02/001

Empirical Hα emitter count predictions for dark energy surveys
journal, February 2010


The effect of Limber and flat-sky approximations on galaxy weak lensing
journal, May 2017

  • Lemos, Pablo; Challinor, Anthony; Efstathiou, George
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 05
  • DOI: 10.1088/1475-7516/2017/05/014

Flat-Sky Pseudo-Cls Analysis for Weak Gravitational Lensing
journal, May 2018

  • Asgari, Marika; Taylor, Andy; Joachimi, Benjamin
  • Monthly Notices of the Royal Astronomical Society
  • DOI: 10.1093/mnras/sty1412

Stable clustering, the halo model and non-linear cosmological power spectra
journal, June 2003


Probing neutrino masses with CMB lensing extraction
journal, February 2006


Determining the neutrino mass hierarchy with cosmology
journal, December 2009

  • De Bernardis, Francesco; Kitching, Thomas D.; Heavens, Alan
  • Physical Review D, Vol. 80, Issue 12
  • DOI: 10.1103/PhysRevD.80.123509

Can we measure the neutrino mass hierarchy in the sky?
journal, May 2010

  • Jimenez, Raul; Kitching, Thomas; Peña-Garay, Carlos
  • Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 05
  • DOI: 10.1088/1475-7516/2010/05/035

Probing the neutrino mass hierarchy with cosmic microwave background weak lensing: Neutrino mass hierarchy
journal, August 2012


Impact of neutrino properties on the estimation of inflationary parameters from current and future observations
journal, February 2017


Inference from Iterative Simulation Using Multiple Sequences
journal, November 1992


Weighing Neutrinos with Galaxy Surveys
journal, June 1998