Taming systematic uncertainties at the LHC with the central limit theorem

Sylvain Fichet
2016 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) a
more » ... way of reporting the main effects of systematic uncertainties such as the detector effects occuring in LHC measurements.
doi:10.1016/j.nuclphysb.2016.08.029 fatcat:nj4fkuuc5fffzjmbtto4dvxy3y