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Title:Effective field theory of the electroweak sector
Author(s):Mebane, Harrison
Director of Research:Willenbrock, Scott S.
Doctoral Committee Chair(s):Stelzer, Timothy J.
Doctoral Committee Member(s):Willenbrock, Scott S.; Neubauer, Mark S.; Eckstein, James N.
Department / Program:Physics
Discipline:Physics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):effective field theory
electroweak
anomalous couplings
unitarity
one-loop
Abstract:Effective field theory is a model-independent way to search for indirect effects of new physics. It has many advantages over the traditional anomalous couplings framework. In particular, gauge invariance makes possible the calculation of loop corrections. Furthermore, the issue of unitarity violation is shown to be irrelevant in an effective field theory. There are nine dimension-six operators which generate corrections to precision electroweak quantities through gauge boson propagators. I start with an analysis involving just two operators contributing at one loop in which I show that loop calculations, and the renormalization program in particular, can be carried out in a straightforward manner using effective field theory. I compare this to previous analyses and show that the methods presented here yield more accurate bounds on loop-level operator coefficients. I finish with a global analysis of the full set of nine operators. Bounds are presented on the linearly-independent combinations of the operators. The four operators which affect precision electroweak observables at tree-level are shown to absorb all divergences from the five operators contributing only at loop-level. The bounds are found to be considerably weaker than existing bounds from collider data.
Issue Date:2013-05-24
URI:http://hdl.handle.net/2142/44370
Rights Information:Copyright 2013 Harrison E Mebane
Date Available in IDEALS:2013-05-24
Date Deposited:2013-05


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