CaltechAUTHORS
Published April 2019 | Version Submitted + Published
Journal Article Open

The simplified likelihood framework

Creators

  • 1. ROR icon University of Glasgow
  • 2. ROR icon University of California, Santa Barbara
  • 3. ROR icon California Institute of Technology
  • 4. ROR icon Laboratory of Subatomic Physics and Cosmology
  • 5. ROR icon Institute of High Energy Physics
  • 6. ROR icon University of Vienna
  • 7. ROR icon Imperial College London

Abstract

We discuss the simplified likelihood framework as a systematic approximation scheme for experimental likelihoods such as those originating from LHC experiments. We develop the simplified likelihood from the Central Limit Theorem keeping the next-to-leading term in the large N expansion to correctly account for asymmetries. Moreover, we present an efficient method to compute the parameters of the simplified likelihood from Monte Carlo simulations. The approach is validated using a realistic LHC-like analysis, and the limits of the approximation are explored. Finally, we discuss how the simplified likelihood data can be conveniently released in the HepData error source format and automatically built from it, making this framework a convenient tool to transmit realistic experimental likelihoods to the community.

Additional Information

© 2019 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: October 2, 2018; Revised: February 16, 2019; Accepted: March 31, 2019; Published: April 8, 2019. This work has been initiated at the LHC Chapter II: The Run for New Physics workshop held at IIP Natal, Brazil, 6-17 Nov. 2017. We thank the IIP Natal for hosting the workshop and creating a most inspiring working atmosphere. AB is supported by a Royal Society University Research Fellowship grant. MC is supported by the US Department of Energy under award number DE-SC0011702. SF is supported by the São Paulo Research Foundation (FAPESP) under grants #2011/11973, #2014/21477-2 and #2018/11721-4. SK is supported by the IN2P3 project "Théorie LHCiTools" and the CNRS-FAPESP collaboration grant PRC275431. NW is funded through a Science and Techologies Facility Council (STFC) Fellowship grant #ST/N003985/1.

Attached Files

Published - Buckley2019_Article_TheSimplifiedLikelihoodFramewo.pdf

Submitted - 1809.05548.pdf

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1809.05548.pdf

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Additional details

Identifiers

Eprint ID
94576
Resolver ID
CaltechAUTHORS:20190409-091330064

Related works

Describes
https://arxiv.org/abs/1809.05548 (URL)

Funding

Royal Society
Department of Energy (DOE)
DE-SC0011702
Fundação de Amparo à Pesquisa do Estado de Sao Paulo (FAPESP)
2011/11973
Fundação de Amparo à Pesquisa do Estado de Sao Paulo (FAPESP)
2014/21477-2
Fundação de Amparo à Pesquisa do Estado de Sao Paulo (FAPESP)
2018/11721-4
Institut National de Physique Nucléaire et de Physique des Particules (IN2P3)
Théorie LHCiTools
Centre National de la Recherche Scientifique (CNRS)
PRC275431
Science and Technology Facilities Council (STFC)
ST/N003985/1
SCOAP3

Dates

Created
2019-04-09
Created from EPrint's datestamp field
Updated
2021-11-16
Created from EPrint's last_modified field