Invited talk given at TRIUMF in Vancouver, Canada, 29th July 2022
Nested sampling 2205.15570 is an alternative MCMC technique for integrating and exploring probability distributions. With publicly available implementations such as MultiNest, PolyChord and dynesty, it has become widely adopted in the field of particle physics, cosmology and astrophysics as a powerful tool for computing integrals and scanning and sampling challenging a-priori unknown parameter spaces.
In this talk I will give a user's introduction to the theory of nested sampling, and illustrate with recent novel applications in particle physics including: quantification of fine tuning 2101.00428,2205.13549, fast computation of small p-values 2105.13923 and exploration of phase space for computation of cross sections 2205.02030. I will also discuss cosmological applications, in particular the deployment and calibration of the REACH 21cm radiometer 2207.XXXXX.
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