CONFIDENCE LIMITS WITH MULTIPLE CHANNELS AND ARBITRARY PROBABILITY DISTRIBUTIONS FOR SENSITIVITY AND EXPECTED BACKGROUND

Andrea Perrotta ()
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Andrea Perrotta: Istituto Nazionale di Fisica Nucleare, sez. di Bologna, Viale B. Pichat, 6/2, I-40127 Bologna, Italy

International Journal of Modern Physics C (IJMPC), 2002, vol. 13, issue 08, 989-1001

Abstract: A MC method is proposed to compute upper limits, in a pure Bayesian approach, when the errors associated to the experimental sensitivity and to the expected background content are not Gaussian distributed or not small enough to apply the usual approximations. It is relatively easy to extend the procedure to the multichannel case (for instance when different decay branchings, or luminosities or experiments have to be combined). Some of the searches for supersymmetric particles performed in the DELPHI experiment at the LEP electron–positron collider use such a procedure to propagate the systematics into the calculation of the cross-section upper limits. One of these searches will be described as an example.

Keywords: Limits; systematics; Bayes; probability distributions (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S0129183102003784

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