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A foreground-marginalized 'BK-lite' likelihood for the tensor-to-scalar ratio
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The current limit on the tensor-to-scalar ratio from the BICEP/Keck Collaboration (with r<0.036 at 95% confidence) puts pressure on early universe models, with less than 10% of the error on r attributed to uncertainty in Galactic foregrounds. We use the BICEP/Keck BK18 public multi-frequency likelihood to test some further assumptions made in the foreground modeling, finding little impact on the estimate for r. We then estimate foreground-marginalized cosmic microwave background (CMB) B-mode polarization bandpowers. We fit them with a multivariate offset-lognormal distribution and construct a marginalized 'BK-lite' likelihood for the CMB B-mode spectrum with no nuisance parameters, serving as a method demonstration for future analyses of small sky regions, for example from the South Pole Observatory or CMB-S4.
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Compressed 'CMB-lite' Likelihoods Using Automatic Differentiation
An automatic differentiation scheme constructs CMB-lite likelihoods from one minimisation and one Hessian evaluation, reproducing full multi-frequency posterior constraints on SPT-3G data within 0.1 sigma.
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