Naturalness and Novel Statistical Methods on the String Landscape

Martinez, Dakotah

Naturalness and Novel Statistical Methods on the String Landscape

dc.contributor.advisor	Baer, Howard
dc.contributor.author	Martinez, Dakotah
dc.contributor.committeeMember	Sinha, Kuver
dc.contributor.committeeMember	Blume, Doerte
dc.contributor.committeeMember	Abbott, Braden
dc.contributor.committeeMember	Petrov, Nikola
dc.date.accessioned	2024-07-08T15:53:51Z
dc.date.available	2024-07-08T15:53:51Z
dc.date.issued	2024-08
dc.date.manuscript	2024-07
dc.description.abstract	In this work, we formalize the concept of naturalness in supersymmetric effective field theories, as well as introduce novel methods for performing statistical analyses in the string landscape. We revisit the various measures of practical naturalness for models of weak-scale supersymmetry (SUSY) including: 1. electroweak (EW) naturalness; 2. naturalness via sensitivity to high-scale (HS) parameters [Ellis-Enquist-Nanopoulos-Zwirner/Barbieri-Giudice (EENZ/BG)]; 3. sensitivity of Higgs soft terms due to high-scale radiative corrections; and 4. stringy naturalness (SN) from the landscape. We debut a new numerical routine for calculating these measures from any SUSY Les Houches Accord file. A vast array of (metastable) vacuum solutions arise from string compactifications, each leading to different 4-d laws of physics. The space of these solutions, known as the string landscape, allows for an environmental solution to the cosmological constant problem. We argue that the landscape favors natural softly broken supersymmetric (SSB) models over particle physics models containing quadratic divergences, such as the Standard Model or unnatural SSB models by presenting a computable measure. An anthropic selection of the weak scale to within a factor of a few of our measured value — in order to produce complex nuclei as we know them (atomic principle) — provides statistical predictions for Higgs and sparticle masses in accord with LHC measurements. The predicted Higgs and superparticle spectra might be testable at HL-LHC or ILC via higgsino pair production but is certainly testable at higher energy hadron colliders with $\sqrt{s}\sim$ 30–100 TeV.	en_US
dc.identifier.uri	https://hdl.handle.net/11244/340466
dc.language	en_US	en_US
dc.rights	Attribution-ShareAlike 4.0 International	*
dc.rights.uri	http://creativecommons.org/licenses/by-sa/4.0/	*
dc.subject	High Energy Physics	en_US
dc.subject	Naturalness	en_US
dc.subject	Supersymmetry and phenomenology	en_US
dc.subject	String landscape	en_US
dc.thesis.degree	Ph.D.	en_US
dc.title	Naturalness and Novel Statistical Methods on the String Landscape	en_US
ou.group	Dodge Family College of Arts and Sciences::Homer L. Dodge Department of Physics and Astronomy	en_US
shareok.orcid	0000-0002-6351-7360	en_US