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Title: The Gaussian CL s method for searches of new physics

Here we describe a method based on the CL s approach to present results in searches of new physics, under the condition that the relevant parameter space is continuous. Our method relies on a class of test statistics developed for non-nested hypotheses testing problems, denoted by ΔT, which has a Gaussian approximation to its parent distribution when the sample size is large. This leads to a simple procedure of forming exclusion sets for the parameters of interest, which we call the Gaussian CL s method. Our work provides a self-contained mathematical proof for the Gaussian CL s method, that explicitly outlines the required conditions. These conditions are milder than that required by the Wilks' theorem to set confidence intervals (CIs). We illustrate the Gaussian CL s method in an example of searching for a sterile neutrino, where the CL s approach was rarely used before. We also compare data analysis results produced by the Gaussian CL s method and various CI methods to showcase their differences.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [1]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. Univ. of Iowa, Iowa City, IA (United States). Dept. of Statistics and Actuarial Science
  3. Univ. of Illinois, Urbana-Champaign, IL (United States). Dept. of Physics
  4. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Publication Date:
Report Number(s):
BNL-112118-2016-JA
Journal ID: ISSN 0168-9002; R&D Project: PO-022; KA2201020
Grant/Contract Number:
SC00112704
Type:
Accepted Manuscript
Journal Name:
Nuclear Instruments and Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment
Additional Journal Information:
Journal Volume: 827; Journal Issue: C; Journal ID: ISSN 0168-9002
Publisher:
Elsevier
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; gaussian; method
OSTI Identifier:
1335444
Alternate Identifier(s):
OSTI ID: 1359662