Hierarchies from landscape probability gradients and critical boundaries

Abstract If the gradient of a probability distribution on a landscape of vacua aligns with the variation of some fundamental parameter, the parameter may be likely to take some non-generic value. Such non-generic values can be associated to critical boundaries, where qualitative changes of the lands...

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Main Author: Oleksii Matsedonskyi
Format: Article
Language:English
Published: SpringerOpen 2024-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP08(2024)170
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author Oleksii Matsedonskyi
author_facet Oleksii Matsedonskyi
author_sort Oleksii Matsedonskyi
collection DOAJ
description Abstract If the gradient of a probability distribution on a landscape of vacua aligns with the variation of some fundamental parameter, the parameter may be likely to take some non-generic value. Such non-generic values can be associated to critical boundaries, where qualitative changes of the landscape properties happen, or an anthropic bound is located. Assuming the standard volume-weighted and the local probability measures, we discuss ordered landscapes which can produce several types of the aligned probability gradients. The resulting values of the gradients are defined by the “closeness” of a given vacuum to the highest- or the lowest-energy vacuum. Using these ingredients we construct a landscape scanning independently the Higgs mass and the cosmological constant (CC). The probability gradient pushes the Higgs mass to its observed value, where a structural change of the landscape takes place, while the CC is chosen anthropically.
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spelling doaj-art-a7aa7c58c13b4dc3b0323292aa2a8ff62025-08-20T02:32:52ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024813610.1007/JHEP08(2024)170Hierarchies from landscape probability gradients and critical boundariesOleksii Matsedonskyi0Technische Universität München, Physik-DepartmentAbstract If the gradient of a probability distribution on a landscape of vacua aligns with the variation of some fundamental parameter, the parameter may be likely to take some non-generic value. Such non-generic values can be associated to critical boundaries, where qualitative changes of the landscape properties happen, or an anthropic bound is located. Assuming the standard volume-weighted and the local probability measures, we discuss ordered landscapes which can produce several types of the aligned probability gradients. The resulting values of the gradients are defined by the “closeness” of a given vacuum to the highest- or the lowest-energy vacuum. Using these ingredients we construct a landscape scanning independently the Higgs mass and the cosmological constant (CC). The probability gradient pushes the Higgs mass to its observed value, where a structural change of the landscape takes place, while the CC is chosen anthropically.https://doi.org/10.1007/JHEP08(2024)170Cosmology of Theories BSMHierarchy Problem
spellingShingle Oleksii Matsedonskyi
Hierarchies from landscape probability gradients and critical boundaries
Journal of High Energy Physics
Cosmology of Theories BSM
Hierarchy Problem
title Hierarchies from landscape probability gradients and critical boundaries
title_full Hierarchies from landscape probability gradients and critical boundaries
title_fullStr Hierarchies from landscape probability gradients and critical boundaries
title_full_unstemmed Hierarchies from landscape probability gradients and critical boundaries
title_short Hierarchies from landscape probability gradients and critical boundaries
title_sort hierarchies from landscape probability gradients and critical boundaries
topic Cosmology of Theories BSM
Hierarchy Problem
url https://doi.org/10.1007/JHEP08(2024)170
work_keys_str_mv AT oleksiimatsedonskyi hierarchiesfromlandscapeprobabilitygradientsandcriticalboundaries