PoS - Proceedings of Science
Volume 314 - The European Physical Society Conference on High Energy Physics (EPS-HEP2017) - QCD and Hadronic Physics (Poster Session). Scientific Secretary: Luciano Canton.
Shannon entropy and hadron decays
F.J. Llanes-Estrada*, P.C. Millan, A.P. Riojano, E.M.S. Garcia  on behalf of the STEREO Collaboration
Full text: pdf
Pre-published on: February 02, 2018
Published on: March 20, 2018
Abstract
How much information is added to the Review of Particle
Physics when a new decay branching ratio of a hadron is measured and
reported? This is quantifiable by Shannon's information entropy
$S(i) =-\sum_{f}BR_{(i\longrightarrow f)}\log BR_{(i\longrightarrow f)}$
that takes as input the experimental branching ratios (BR) of the decay distribution of particle i.

It may be used at two levels, against the distribution of decay-channel probabilities, or against the distribution of individual quantum-state probabilities (integrating the phase space of those states provides the former). We illustrate the concept with some examples.
DOI: https://doi.org/10.22323/1.314.0740
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