Abstract

Interpreting observations of the Lyman-α forest flux power spectrumrequires interpolation between a small number of expensive simulations.We present a Gaussian process emulator modelling the 1D flux power spectrum asa function of the amplitude and slope of the small-scale linear matter powerspectrum, and the state of the intergalactic medium at the epoch of interest(2 < z < 4).This parameterisation enables the prediction of the flux power spectrum inextended cosmological models that are not explicitly included in the training set,eliminating the need to construct bespoke emulators for a number of extensionsto ΛCDM.Our emulator is appropriate for cosmologies in which the linear matter powerspectrum is described to percent level accuracy by just an amplitude andslope across the epoch of interest, and in the regime probed by eBOSS/DESI data.We demonstrate this for massive neutrino cosmologies, where the emulator is ableto predict the flux power spectrum in a Σ mν=0.3 eV neutrino cosmologyto sub-percent accuracy, without including massive neutrinos in the training simulations.Further parameters would be required to describe models with sharp features in thelinear power, such as warm or light axion dark matter.This work will facilitate the combination of upcoming DESI datawith observations of thecosmic microwave background, to obtain constraints on neutrino mass andother extensions to ΛCDM cosmology.

Highlights

  • Interpreting observations of the Lyman-α forest flux power spectrum requires interpolation between a small number of expensive simulations

  • Work on the Lyα forest recognised that the Lyα forest probes the universe at an epoch that is close to an Einstein de-Sitter (EdS) model, and considered the cosmological information in the Lyα forest to be concentrated in the linear matter power spectrum [7, 9,10,11]

  • We have presented a Gaussian process emulator that predicts the P1D of the Lyα forest as a function of the amplitude and slope of the small-scale linear matter power spectrum and the state of the intergalactic medium

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Summary

Parameterisation

The absorption features that constitute the Lyα forest are caused by the presence of intervening neutral hydrogen along the lines of sight to quasars The density of this neutral hydrogen is determined both by fluctuations in the baryon density which trace the underlying dark matter field, and the thermal and ionisation state of the IGM. We use a total of six parameters to describe these effects: two to describe the clustering of matter and four to characterise uncertainty in the state of the IGM.

Linear matter power spectrum
Intergalactic medium
Simulations
Gaussian process emulator
Emulator validation
Predictions at a redshift without training data
Predicting extended models
Parameter constraints
Likelihood parameters
Likelihood function
MCMC results
Extended models
Discussion
A Parameter dependence of the P1D
Findings
B IGM evolution
Full Text
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