Shannon entropy and particle decays

Millán, Pedro Carrasco; García-Ferrero, María Ángeles; Llanes-Estrada, Felipe J.; Riojano, Ana Porras; García, Esteban M. Sánchez

doi:10.1016/j.nuclphysb.2018.04.003

Cited by 13 publications

(4 citation statements)

References 15 publications

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“…Furthermore work of Ref. [52,53] has shown that Gibbs-Shannon entropy is constituted for devising distributions through the decays of hadrons and assessing the information relating to the new decay channel added to it.…”

Section: Introductionmentioning

confidence: 99%

Investigating non-minimal flavor-violating CMSSM using information theory

Gupta,

Gupta

2022

Preprint

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Flavor-violating interactions of the stop-quarks are expected to provide additional few GeV contribution to the Higgs-Boson mass particularly when it mixes with scharm-quarks, thereby allowing reduced supersymmetry (SUSY) breaking scale compared to flavor-conserving constrained minimal supersymmetric Standard Model (CMSSM). Inspired by this, we analyze the aforementioned interactions in the context of CMSSM using the information entropy of the Higgs-Boson for a wide region of flavor-violating CMSSM parameter space (m 0 , m 1/2 , A 0 , tan β, sgn(µ), δ ij ct ) with i, j representing left and right chiralities of squarks. Our information-theoretic analysis of the aforementioned model reveals the most favorable values of (m 0 , m 1/2 , A 0 , tan β, δ ij ct ) to be (4.30 TeV, 2.32 TeV, −4.96 TeV, 22.8, 0.037) and (4.16 TeV, 3.89 TeV, −4.10 TeV, 19.4, 0.039) for (i, j) = (L, R) and (R, L), respectively, corresponding to the maximum entropy which suggest the SUSY breaking scale to be about 5 TeV thereby allowing considerably sparticles masses than the flavorconserving CMSSM.

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Section: Introductionmentioning

confidence: 99%

Investigating non-minimal flavor-violating CMSSM using information theory

Gupta,

Gupta

2022

Preprint

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“…[23]. Information entropy has been found to be quite successful in the investigation of new decay modes of the Higgs-Boson [24] and particles [25,26] at the LHC, axion mass evaluation [27], and has also been recently applied in studying SUSY models [28,29]. In earlier studies, it has been shown that features of the Higgs-Boson in Split-SUSY resemble the SM Higgs-Boson and therefore distinction between these may be quite challenging in experiments [30].…”

Section: Introductionmentioning

confidence: 99%

Higgs information in Split-SUSY at the LHC

Gupta¹,

Gupta²

2022

Preprint

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Information theory turns out to be an interesting tool for studying the consequences of Higgs observations to various new physics candidate theories by means of the information measure as the entropy of Higgs-Boson through its various detection modes at the Large Hadron Collider. The present article investigates the parameter space of a supersymmetric scenario where sfermions and one of the Higgs superfields are decoupled while the gauginos, Higgsinos and the remaining Higgs doublet are still allowed to be lighter. Our analysis reveals that this is quite a viable choice in the light of LHC discovery of a Higgs which resembles the SM Higgs-Boson and nothing else so far. While the supersymmetry breaking scale M S could be as high as 10 11 GeV or so, the most preferred values of the M S and tan β are found to be around 3.6×10 7 GeV and 41 respectively, which is also consistent with the relic abundance of the neutralino dark matter. The corresponding value of neutralino (m χ0 1 ) LSP is estimated to be around 1.01 TeV. The preferred values of other parameters, namely, the Higgsino mass (µ) and gaugino mass parameters (M 1 and M 2 ) are found to be about 1.05 TeV, 1.74 TeV, and 2.57 TeV, respectively.

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“…Finally, to the right of the diagram, the parton fragments into an identified hadron and the Shannon entropy of the fragmentation function is the focus and first goal of this work as well as that of a companion article [5] on which it is based. Other works cited therein and in [6] have dealt with the entropy intrinsic to the distribution of the decaying products for the unstable hadrons formed in a collision, particularly of the Higgs boson, and other applications. Let us quickly recall the concepts of Shannon entropy and Kullback-Leibler divergence.…”

Section: Introductionmentioning

confidence: 99%

Shannon entropy of fragmentation functions and their Kullback-Leibler divergence to parton pdfs

Calviño¹,

Olivares²,

Llanes-Estrada³

2022

EPJ Web Conf.

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The flow of information in high-energy collisions has been recently investigated by various groups: this includes the entanglement entropy of the proton becoming classical information entropy of pdfs, jet splitting affecting entropy, or the entropy distribution in hadron decays. Here we examine fragmentation functions in this context, including their entropy as probability distributions, and propose it as one convenient number to characterize progress in their extraction. We also use the Kullback-Leibler divergence to examine relations between FFs and pdfs such as that of Barone, Drago and Ma.

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Shannon entropy and particle decays

Cited by 13 publications

References 15 publications

Investigating non-minimal flavor-violating CMSSM using information theory

Investigating non-minimal flavor-violating CMSSM using information theory

Higgs information in Split-SUSY at the LHC

Shannon entropy of fragmentation functions and their Kullback-Leibler divergence to parton pdfs

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