Aspects of Heavy Supersymmetry

TL;DR

This paper explores heavy supersymmetric spectra, proposing models with sequestered supersymmetry breaking, and examines their implications for naturalness, dark matter, flavor violation, and proton decay within string landscape frameworks.

Contribution

It introduces models with multiple sequestered spurion fields leading to natural, heavy supersymmetric spectra and analyzes flavor violation and proton decay constraints in these models.

Findings

Natural supersymmetric spectra are achievable with sequestered spurions.

Large fluxes in string landscape can dilute flavor violation.

Generation split spectrum aligns with current proton decay bounds.

Abstract

The discovery of the Higgs boson raises the question of its "lightness" in mass when the Standard Model is considered as an effective quantum field theory. Supersymmetry is the only currently known symmetry which can protect the Higgs mass while still treating the Higgs as an elementary quantum field. However in the view of null experimental confirmation from both direct (LHC) and indirect searches (flavour, dark matter) of the supersymmetric particles and the constraints from the Higgs mass, several possible heavy spectra for supersymmetric partners have been proposed. In the present thesis, we study the possible origins of these heavy spectra by considering a considering many sequestered spurion fields as carriers of supersymmetry breaking. We show that "natural" supersymmetric spectrum is possible in these models and in particular a "coherent" scenario leads to low fine tuning, light Higgsino mixed dark matter ( a la focus point region) even with heavy supersymmetric spectrum. We then consider this model within the context of string landscape, where we use the Bousso-Polchinski framework of four form fluxes to model the spurions. We show that the flavour violating parameters of supersymmetric spectrum can be "diluted" away in the presence of large number of fluxes. One of the possible supersymmetric spectra which emerges by considering all the data is the generation split (Gensplit) spectrum which allows for flavour violation to be present for the first two generations, which are heavy. We study this spectrum within the context of supersymmetric SU(5) and proton decay. The results are quite interesting and dependent on the proton decay mode considered. The strongest bound p to k \nu is now modified depending on the flavour of the neutrino and brings the parameter space within the realms of upcoming experiments of JUNO, DUNE and Hyper K. These results will be discussed.