Modelling the M*-SFR relation at high redshift: untangling factors driving biases in the intrinsic scatter measurement

Abstract

We present a method to self-consistently propagate M${}_{\ast }$ and SFR ($\Psi$) uncertainties onto intercept, slope and intrinsic scatter estimates for a simple model of the main sequence of star forming galaxies where $\Psi =\alpha +\beta$M${}_{\ast }+\mathcal{N}(0,\sigma )$. From simple idealised models set up with broad-band photometry from NIRCam filters at $z\sim 5$, we test the method and compare to methods in the literature. Simplifying the $\Psi$ estimate by basing it on dust-corrected MUV can help to reduce the impact of template set degeneracies on slope and intercept estimates, but act to bias the intrinsic scatter estimate. We find that broad-band fluxes alone cannot constrain the contribution from emission lines, implying that strong priors on the emission-line contribution are required if no medium-band constraints are available. Therefore at high redshifts, where emission lines contribute a higher fraction of the broad-band flux, photometric fitting is sensitive to $\Psi$ variations on short ($\sim$ 10 Myr) timescales. Priors on age imposed with a constant (or rising) star formation history (SFH) do not allow one to investigate a possible dependence of $\sigma$ on M${}_{\ast }$ at high redshifts. Delayed exponential SFHs have less constrained priors, but do not account for $\Psi$ variations on short timescales, a problem if $\sigma$ increases due to stochasticity of star formation. A simple SFH with current star formation decoupled from the previous history is appropriate. We show that, for simple exposure-time calculations assuming point sources, with low levels of dust, we should be able to obtain unbiased estimates of the main sequence down to log(M/M${}_{\odot }$) $\sim$ 8 at $z\sim 5$ with the James Webb Space Telescope while allowing for stochasticity of star formation.

arXiv commentMNRAS published

References in corpus (90)

• Scikit-learn: Machine Learning in Python
• Astropy: A Community Python Package for Astronomy
• Stellar population synthesis at the resolution of 2003
• Galactic Stellar and Substellar Initial Mass Function
• The Astropy Project: Building an inclusive, open-science project and status of the v2.0 core package
• Star Formation in Galaxies Along the Hubble Sequence
• The Dust Content and Opacity of Actively Star-Forming Galaxies
• Starburst99: Synthesis Models for Galaxies with Active Star Formation
• The EAGLE project: Simulating the evolution and assembly of galaxies and their environments
• The physical properties of star forming galaxies in the low redshift universe
• Star Formation in the Milky Way and Nearby Galaxies
• Introducing the Illustris Project: Simulating the coevolution of dark and visible matter in the Universe
• CANDELS: The Cosmic Assembly Near-infrared Deep Extragalactic Legacy Survey
• CANDELS: The Cosmic Assembly Near-infrared Deep Extragalactic Legacy Survey - The Hubble Space Telescope Observations, Imaging Data Products and Mosaics
• Star Formation in AEGIS Field Galaxies since z=1.1 : The Dominance of Gradually Declining Star Formation, and the Main Sequence of Star-Forming Galaxies
• Grids of stellar models with rotation - I. Models from 0.8 to 120 Msun at solar metallicity (Z = 0.014)
• A Simple Model for the Absorption of Starlight by Dust in Galaxies
• The reversal of the star formation-density relation in the distant universe
• Multiwavelength study of massive galaxies at z~2. I. Star formation and galaxy growth
• A Highly Consistent Framework for the Evolution of the Star-Forming "Main Sequence" from z~0-6
• The EAGLE simulations of galaxy formation: calibration of subgrid physics and model variations
• Galaxies on FIRE (Feedback In Realistic Environments): Stellar Feedback Explains Cosmologically Inefficient Star Formation
• Some Aspects of Measurement Error in Linear Regression of Astronomical Data
• Dust Absorption And The Ultraviolet Luminosity Density At z \approx 3 As Calibrated By Local Starburst Galaxies
• Binary Population and Spectral Synthesis Version 2.1: construction, observational verification and new results
• Constraining the Low-Mass Slope of the Star Formation Sequence at 0.5<z<2.5
• Inferring the star-formation histories of massive quiescent galaxies with BAGPIPES: Evidence for multiple quenching mechanisms
• The Frontier Fields: Survey Design
• Reevaluating Old Stellar Populations
• How to Measure Galaxy Star Formation Histories II: Nonparametric Models
• Deriving Physical Properties from Broadband Photometry with Prospector: Description of the Model and a Demonstration of its Accuracy Using 129 Galaxies in the Local Universe
• The Abundance of Star-Forming Galaxies in the Redshift Range 8.5 to 12: New Results from the 2012 Hubble Ultra Deep Field Campaign
• Nebular Emission from Star-Forming Galaxies
• An updated analytic model for the attenuation by the intergalactic medium
• The Herschel PEP/HerMES Luminosity Function. I: Probing the Evolution of PACS selected Galaxies to z~4
• Modelling and interpreting spectral energy distributions of galaxies with BEAGLE
• Nebular Continuum and Line Emission in Stellar Population Synthesis Models
• xGASS: Total cold gas scaling relations and molecular-to-atomic gas ratios of galaxies in the local Universe
• An Objective Definition for the Main Sequence of Star-Forming Galaxies
• A deep ALMA image of the Hubble Ultra Deep Field
• Grids of stellar models with rotation - III. Models from 0.8 to 120 Msun at a metallicity Z = 0.002
• The Confinement of Star-Forming Galaxies into a Main Sequence through Episodes of Gas Compaction, Depletion, and Replenishment
• Modelling the nebular emission from primeval to present-day star-forming galaxies
• The Relation Between SFR and Stellar Mass for Galaxies at 3.5 $\le z\le$ 6.5 in CANDELS
• The MOSDEF Survey: Electron Density and Ionization Parameter at $z\sim 2.3$
• The Characteristic Star Formation Histories of Galaxies at Redshifts z~2-7
• The mass evolution of the first galaxies: stellar mass functions and star formation rates at $4<z<7$ in the CANDELS GOODS-South field
• Evidence for Ubiquitous, High-EW Nebular Emission in z~7 Galaxies: Towards a Clean Measurement of the Specific Star Formation Rate using a Sample of Bright, Magnified Galaxies
• ALMA Spectroscopic Survey in the Hubble Ultra Deep Field: The Infrared Excess of UV-selected z=2-10 galaxies as a function of UV-continuum Slope and Stellar Mass
• The SPHINX Cosmological Simulations of the First Billion Years: the Impact of Binary Stars on Reionization
• The impact of nebular emission on the ages of z~6 galaxies
• How to measure galaxy star-formation histories I: Parametric models
• Nebular Emission Line Ratios in z~2-3 Star-Forming Galaxies with KBSS-MOSFIRE: Exploring the Impact of Ionization, Excitation, and Nitrogen-to-Oxygen Ratio
• (Star)bursts of FIRE: observational signatures of bursty star formation in galaxies
• The star formation main sequence and stellar mass assembly of galaxies in the Illustris simulation
• An Older, More Quiescent Universe from Panchromatic SED Fitting of the 3D-HST Survey
• Evolution of Galaxy Stellar Mass Functions, Mass Densities, and Mass to Light Ratios from z 7 to z 4
• The Star Formation Main Sequence in the Hubble Space Telescope Frontier Fields
• Data analysis recipes: Fitting a model to data
• The JWST Extragalactic Mock Catalog: Modeling galaxy populations from the UV through the near-IR over thirteen billion years of cosmic history
• The 2012 Hubble Ultra Deep Field (UDF12): Observational Overview
• The Kinematic Connection Between Galaxies and Dark Matter Haloes
• The Impact of Feedback on Disk Galaxy Scaling Relations
• Non-parametric Star Formation History Reconstruction with Gaussian Processes I: Counting Major Episodes of Star Formation
• The MOSDEF Survey: Dissecting the star-formation rate vs. stellar mass relation using H$\alpha$ and H$\beta$ emission lines at z ~ 2
• Constraints on the production and escape of ionizing radiation from the emission-line spectra of metal-poor star-forming galaxies
• Pandeia: A Multi-mission Exposure Time Calculator for JWST and WFIRST
• Reconstruction of Galaxy Star Formation Histories through SED Fitting: The Dense Basis Approach
• The origin of scatter in the star formation rate - stellar mass relation
• The ALMaQUEST Survey: The molecular gas main sequence and the origin of the star forming main sequence
• Hyper-Fit: Fitting Linear Models to Multidimensional Data with Multivariate Gaussian Uncertainties
• On the Origin of the Galaxy Star-Formation-Rate Sequence: Evolution and Scatter
• The evolution of the equivalent width of the Ha emission line and specific star-formation rate in star-forming galaxies at 1<z<5
• On the origin of the fundamental metallicity relation and the scatter in galaxy scaling relations
• The MUSE Hubble Ultra Deep Field Survey XI. Constraining the low-mass end of the stellar mass - star formation rate relation at $z<1$
• UVUDF: Ultraviolet Imaging of the Hubble Ultradeep Field with Wide-field Camera 3
• The rise and fall of the star formation histories of blue galaxies at redshifts 0.2<z<1.4
• Equilibrium Model Constraints on Baryon Cycling Across Cosmic Time
• The Intrinsic Scatter Along The Main Sequence of Star-Forming Galaxies at z ~ 0.7
• Evolution of Intrinsic Scatter in the SFR-Stellar Mass Correlation at 0.5<z<3
• Simulating the assembly of galaxies at redshifts z = 6 - 12
• The ages, masses and star-formation rates of spectroscopically confirmed z~6 galaxies in CANDELS
• Are star formation rates of galaxies bimodal?
• Equilibrium model prediction for the scatter in the star-forming main sequence
• Decoding the Star-Forming Main Sequence or: How I Learned to Stop Worrying and Love the Central Limit Theorem
• Simulating and interpreting deep observations in the Hubble Ultra Deep Field with the JWST/NIRSpec low-resolution 'prism'
• Growth of First Galaxies: Impacts of Star Formation and Stellar Feedback
• Coevolution of metallicity and star formation in galaxies to z=3.7: II. A theoretical model
• LEO-Py: Estimating likelihoods for correlated, censored, and uncertain data with given marginal distributions
• Maximising the power of deep extragalactic imaging surveys with the James Webb Space Telescope

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• J-PAS: First Identification, Physical Properties and Ionization Efficiency of Extreme Emission Line Galaxies
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• pop-cosmos: Star formation over 12 Gyr from generative modelling of a deep infrared-selected galaxy catalogue