Challenges of profile likelihood evaluation in multi-dimensional SUSY scans

Farhan Feroz, Kyle Cranmer, Mike Hobson, Roberto Ruiz De Austric, Roberto Trottad

    Research output: Contribution to journalArticle

    Abstract

    Statistical inference of the fundamental parameters of supersymmetric theories is a challenging and active endeavor. Several sophisticated algorithms have been employed to this end. While Markov-Chain Monte Carlo (MCMC) and nested sampling techniques are geared towards Bayesian inference, they have also been used to estimate frequentist confidence intervals based on the profile likelihood ratio. We investigate the performance and appropriate configuration of MultiNest, a nested sampling based algorithm, when used for profile likelihood-based analyses both on toy models and on the parameter space of the Constrained MSSM. We find that while the standard configuration previously used in the literarture is appropriate for an accurate reconstruction of the Bayesian posterior, the profile likelihood is poorly approximated. We identify a more appropriate MultiNest configuration for profile likelihood analyses, which gives an excellent exploration of the profile likelihood (albeit at a larger computational cost), including the identification of the global maximum likelihood value. We conclude that with the appropriate configuration MultiNest is a suitable tool for profile likelihood studies, indicating previous claims to the contrary are not well founded.

    Original languageEnglish (US)
    Article number42
    JournalJournal of High Energy Physics
    Volume2011
    Issue number6
    DOIs
    StatePublished - 2011

    Keywords

    • Supersymmetry Phenomenology

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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  • Cite this

    Feroz, F., Cranmer, K., Hobson, M., De Austric, R. R., & Trottad, R. (2011). Challenges of profile likelihood evaluation in multi-dimensional SUSY scans. Journal of High Energy Physics, 2011(6), [42]. https://doi.org/10.1007/JHEP06(2011)042