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Taming systematic uncertainties at the LHC with the central limit theorem
Nuclear Physics B
We study the simplifications occurring in any likelihood function in the presence of a large number of small systematic uncertainties. We find that the marginalisation of these uncertainties can be done analytically by means of second-order error propagation, error combination, the Lyapunov central limit theorem, and under mild approximations which are typically satisfied for LHC likelihoods. The outcomes of this analysis are i) a very light treatment of systematic uncertainties ii) adoi:10.1016/j.nuclphysb.2016.08.029 fatcat:nj4fkuuc5fffzjmbtto4dvxy3y