Bayesian analysis and naturalness of (Next-to-)Minimal Supersymmetric Models

Abstract The Higgs boson discovery stirred interest in next-to-minimal supersymmetric models, due to the apparent fine-tuning required to accommodate it in minimal theories. To assess their naturalness, we compare fine-tuning in a ℤ3 conserving semi-constrained Next-to-Minimal Supersymmetric Standar...

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Main Authors: Peter Athron, Csaba Balazs, Benjamin Farmer, Andrew Fowlie, Dylan Harries, Doyoun Kim
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP10(2017)160
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author Peter Athron
Csaba Balazs
Benjamin Farmer
Andrew Fowlie
Dylan Harries
Doyoun Kim
author_facet Peter Athron
Csaba Balazs
Benjamin Farmer
Andrew Fowlie
Dylan Harries
Doyoun Kim
author_sort Peter Athron
collection DOAJ
description Abstract The Higgs boson discovery stirred interest in next-to-minimal supersymmetric models, due to the apparent fine-tuning required to accommodate it in minimal theories. To assess their naturalness, we compare fine-tuning in a ℤ3 conserving semi-constrained Next-to-Minimal Supersymmetric Standard Model (NMSSM) to the constrained MSSM (CMSSM). We contrast popular fine-tuning measures with naturalness priors, which automatically appear in statistical measures of the plausibility that a given model reproduces the weak scale. Our comparison shows that naturalness priors provide valuable insight into the hierarchy problem and rigorously ground naturalness in Bayesian statistics. For the CMSSM and semi-constrained NMSSM we demonstrate qualitative agreement between naturalness priors and popular fine tuning measures. Thus, we give a clear plausibility argument that favours relatively light superpartners.
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spelling doaj.art-188aadd5bb874ed2a3c4a3a6576ed6f62022-12-22T01:40:55ZengSpringerOpenJournal of High Energy Physics1029-84792017-10-0120171014310.1007/JHEP10(2017)160Bayesian analysis and naturalness of (Next-to-)Minimal Supersymmetric ModelsPeter Athron0Csaba Balazs1Benjamin Farmer2Andrew Fowlie3Dylan Harries4Doyoun Kim5ARC Centre of Excellence for Particle Physics at the Tera-scale, Monash UniversityARC Centre of Excellence for Particle Physics at the Tera-scale, Monash UniversityDepartment of Physics, Stockholm University, AlbaNovaARC Centre of Excellence for Particle Physics at the Tera-scale, Monash UniversityARC Centre of Excellence for Particle Physics at the Tera-scale, Department of Physics, The University of AdelaideCenter for Theoretical Physics of the Universe, Institute for Basic Science (IBS)Abstract The Higgs boson discovery stirred interest in next-to-minimal supersymmetric models, due to the apparent fine-tuning required to accommodate it in minimal theories. To assess their naturalness, we compare fine-tuning in a ℤ3 conserving semi-constrained Next-to-Minimal Supersymmetric Standard Model (NMSSM) to the constrained MSSM (CMSSM). We contrast popular fine-tuning measures with naturalness priors, which automatically appear in statistical measures of the plausibility that a given model reproduces the weak scale. Our comparison shows that naturalness priors provide valuable insight into the hierarchy problem and rigorously ground naturalness in Bayesian statistics. For the CMSSM and semi-constrained NMSSM we demonstrate qualitative agreement between naturalness priors and popular fine tuning measures. Thus, we give a clear plausibility argument that favours relatively light superpartners.http://link.springer.com/article/10.1007/JHEP10(2017)160Supersymmetry Phenomenology
spellingShingle Peter Athron
Csaba Balazs
Benjamin Farmer
Andrew Fowlie
Dylan Harries
Doyoun Kim
Bayesian analysis and naturalness of (Next-to-)Minimal Supersymmetric Models
Journal of High Energy Physics
Supersymmetry Phenomenology
title Bayesian analysis and naturalness of (Next-to-)Minimal Supersymmetric Models
title_full Bayesian analysis and naturalness of (Next-to-)Minimal Supersymmetric Models
title_fullStr Bayesian analysis and naturalness of (Next-to-)Minimal Supersymmetric Models
title_full_unstemmed Bayesian analysis and naturalness of (Next-to-)Minimal Supersymmetric Models
title_short Bayesian analysis and naturalness of (Next-to-)Minimal Supersymmetric Models
title_sort bayesian analysis and naturalness of next to minimal supersymmetric models
topic Supersymmetry Phenomenology
url http://link.springer.com/article/10.1007/JHEP10(2017)160
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