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Extracting angular observables without a likelihood and applications to rare decays


Beaujean, Frederik; Chrząszcz, Marcin; Serra, Nicola; van Dyk, Danny (2015). Extracting angular observables without a likelihood and applications to rare decays. Physical Review D (Particles, Fields, Gravitation and Cosmology), 91:114012.

Abstract

Our goal is to obtain a complete set of angular observables arising in a generic multibody process. We show how this can be achieved without the need to carry out a likelihood fit of the angular distribution to the measured events. Instead, we apply the method of moments that relies both on the orthogonality of angular functions and the estimation of integrals by Monte Carlo techniques. The big advantage of this method is that the joint distribution of all observables can be easily extracted, even for very few events. The method of moments is shown to be robust against mismodeling of the angular distribution. Our main result is an explicit algorithm that accounts for systematic uncertainties from detector-resolution and acceptance effects. Finally, we present the necessary process-dependent formulas needed for direct application of the method to several rare decays of interest.

Abstract

Our goal is to obtain a complete set of angular observables arising in a generic multibody process. We show how this can be achieved without the need to carry out a likelihood fit of the angular distribution to the measured events. Instead, we apply the method of moments that relies both on the orthogonality of angular functions and the estimation of integrals by Monte Carlo techniques. The big advantage of this method is that the joint distribution of all observables can be easily extracted, even for very few events. The method of moments is shown to be robust against mismodeling of the angular distribution. Our main result is an explicit algorithm that accounts for systematic uncertainties from detector-resolution and acceptance effects. Finally, we present the necessary process-dependent formulas needed for direct application of the method to several rare decays of interest.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:2015
Deposited On:12 Feb 2016 16:23
Last Modified:08 Dec 2017 18:16
Publisher:American Physical Society
ISSN:1550-2368
Publisher DOI:https://doi.org/10.1103/PhysRevD.91.114012
Other Identification Number:arXiv:1503.04100v1

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