English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

The studies of the Higgs boson couplings based on the recent and upcoming LHCdata open up a new window on physics beyond the Standard Model. In this paper,we propose a statistical guide to the consistent treatment of the theoreticaluncertainties entering the Higgs rate fits. Both the Bayesian and frequentistapproaches are systematically analysed in a unified formalism. We presentanalytical expressions for the marginal likelihoods, useful to implementsimultaneously the experimental and theoretical uncertainties. We review thevarious origins of the theoretical errors (QCD, EFT, PDF, production modecontamination...). All these individual uncertainties are thoroughly combinedwith the help of moment-based considerations. The theoretical correlationsamong Higgs detection channels appear to affect the location and size of thebest-fit regions in the space of Higgs couplings. We discuss the recurrentquestion of the shape of the prior distributions for the individual theoreticalerrors and find that a nearly Gaussian prior arises from the errorcombinations. We also develop the bias approach, which is an alternative tomarginalisation providing more conservative results. The statistical frameworkto apply the bias principle is introduced and two realisations of the bias areproposed. Finally, depending on the statistical treatment, the Standard Modelprediction for the Higgs signal strengths is found to lie within either the$68\%$ or $95\%$ confidence level region obtained from the latest analyses ofthe $7$ and $8$ TeV LHC datasets.

Anatomy of the Higgs fits: a first guide to statistical treatments of the theoretical uncertainties