Citation
Kile, Jennifer E. (2007) Constraints on Physics Beyond the Standard Model and its Observable Effects. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/KSBCRD46. https://resolver.caltech.edu/CaltechETD:etd05282007034337
Abstract
In this work, we describe three analyses, all of which involve physics beyond the Standard Model. The first two discussed here are closely related; they use effective operator analyses to constrain the contributions of physics beyond the SM to observable processes. The third project involves the investigations of a particular extradimensions model which addresses the cosmological constant problem.
The first project which we will discuss uses the scale of neutrino mass to place modelindependent constraints on the coefficients of the chiralitychanging terms in the muon decay Lagrangian. We list all of the dimensionsix effective operators which contribute to muon decay and Dirac mass for the neutrino. We then calculate the oneloop contributions that each of these operators makes to neutrino mass. Taking a generic element of the neutrino mass matrix to be of order ~ 1 eV, we derive limits on the contributions of these operators to the muon Michel parameters which are approximately four orders of magnitude more stringent than the current experimental results, and well below nearfuture experimental sensitivity. We also find two chiralitychanging operators, which, due to their flavor structure, are unconstrained by neutrino mass yet contribute to muon decay. However, as these two operators differ from those constrained by neutrino mass only by their flavor indices, we naively expect their contributions to also be small; if their effects instead turn out to be observable, this may be an indication of beyondtheStandardModel physics with an interesting flavor structure.
In the second analysis, we again perform an effective operator analysis, this time applied to Higgs production at a linear collider. Here we include all dimensionsix operators containing fermions which contribute to Higgs production. We again include operators that contain righthanded Dirac neutrinos. We obtain limits on these operators from electroweak precision observables, the scale of neutrino mass, and limits on neutrino magnetic moments, and use these limits to constrain the contributions of these operators to the Higgs production crosssection. Although we find that all operators containing righthanded neutrinos contribute negligibly to Higgs production, we do find three operators containing only SM fields which could have observable contributions at an e⁺e⁻ linear collider.
Lastly, we discuss the characteristics of a particular extradimensions model originally proposed by Carroll and Guica [54]. This model has two extra dimensions compactified into a sphere, a bulk magnetic field, and a bulk cosmological constant. In this model, the cosmological constant seen by a fourdimensional observer can be set to zero by finetuning the bulk magnetic field against the bulk cosmological constant. If branes with a tension are added at each of the poles of the twosphere, solutions with zero fourdimensional cosmological constant are still possible, but the compactified dimensions must acquire a deficit angle which depends on the brane tension. However, the brane tension does not affect the finetuning relationship between the bulk cosmological constant and the bulk magnetic field. This feature led to the hope that, after this finetuning, the model might selftune, keeping the fourdimensional cosmological constant zero regardless of what happens to the brane tension by adjusting the deficit angle. We speculated that this selftuning property would imply a massless scalar mode in the perturbed Einstein's equations; as there exist very stringent limits on scalartensor theories of gravity, a massless scalar mode would make this model incompatible with observation. We conducted a search for such modes, and found none which satisfied the boundary conditions. This finding led us to speculate that this model does not, in fact, have a selftuning property.
Item Type:  Thesis (Dissertation (Ph.D.))  

Subject Keywords:  extra dimensions; higgs production; linear collider; muon decay; neutrino mass  
Degree Grantor:  California Institute of Technology  
Division:  Physics, Mathematics and Astronomy  
Major Option:  Physics  
Thesis Availability:  Public (worldwide access)  
Research Advisor(s): 
 
Group:  Caltech Theory  
Thesis Committee: 
 
Defense Date:  22 May 2007  
Funders: 
 
Record Number:  CaltechETD:etd05282007034337  
Persistent URL:  https://resolver.caltech.edu/CaltechETD:etd05282007034337  
DOI:  10.7907/KSBCRD46  
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided.  
ID Code:  2201  
Collection:  CaltechTHESIS  
Deposited By:  Imported from ETDdb  
Deposited On:  31 May 2007  
Last Modified:  16 Apr 2020 16:14 
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