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Extensions of the Standard Model Higgs Sector W&M ScholarWorks Dissertations, Theses, and Masters Projects Theses, Dissertations, & Master Projects 2018 Extensions of the Standard Model Higgs Sector Richard Keith Thrasher College of William and Mary - Arts & Sciences, [email protected] Follow this and additional works at: https://scholarworks.wm.edu/etd Part of the Physics Commons Recommended Citation Thrasher, Richard Keith, "Extensions of the Standard Model Higgs Sector" (2018). Dissertations, Theses, and Masters Projects. Paper 1550153848. http://dx.doi.org/10.21220/s2-fv3j-pk17 This Dissertation is brought to you for free and open access by the Theses, Dissertations, & Master Projects at W&M ScholarWorks. It has been accepted for inclusion in Dissertations, Theses, and Masters Projects by an authorized administrator of W&M ScholarWorks. For more information, please contact [email protected]. Extensions of the Standard Model Higgs Sector Richard Thrasher Virginia Beach, Virginia Master of Science, College of William & Mary, 2015 Bachelor of Science, James Madison University, 2013 ADissertationpresentedtotheGraduateFaculty of The College of William & Mary in Candidacy for the Degree of Doctor of Philosophy Department of Physics College of William & Mary August 2018 c 2018 Richard Thrasher All Rights Reserved Attribution-NonCommercial (CC BY-NC) ABSTRACT The Standard Model is regarded as one of the most successful scientific theories, but there is compelling evidence that it is an incomplete theory of particle physics. There is currently no understanding of the observed baryon asymmetry, the nature of dark matter, and dark energy. Field theoretic considerations indicate parameters in the Standard Model are extremely fine-tuned. This suggests the existence of new physics, accessible at higher energies, to explain these seemingly unnatural tunings. To solve these puzzles, and others not addressed by the Standard Model, many extensions of the Standard Model have been proposed. It is of great importance that we fully understand the e↵ects these models have on Standard Model physics and how these theories can be tested. In this dissertation we explore the phenomenology associated with beyond the Standard Model physics, specifically focusing on models with extended Higgs sectors. In chapter 2, we study two classes of lepton flavor violating two Higgs doublet models. Chapter 3 explores a model where the Higgs is a pseudo-Goldstone boson of a non-abelian orbifold projection and all other low energy states carry no Standard Model charges. Chapters 4 and 5 study Higgs phenomenology in the context of a warped five dimensional space-time. The former analyzes the e↵ects of Higgs-radion mixing in two Higgs doublet models. The latter reviews a previous proposal where the Higgs doublet takes the role of a bulk stabilizer. The result is a model containing a single Higgs-radion state. In the final chapter, we present a higher derivative extension of the type-I and II two Higgs doublet models. The resulting theory gives rise to unusual partner states containing negative kinetic energy terms. TABLE OF CONTENTS Acknowledgements .................................................................... iv Dedication.............................................................................. v List of Tables .......................................................................... vi List of Figures ......................................................................... vii 1Introduction........................................................................ 1 1.1 The Standard Model Higgs ................................................ 2 1.2 The Hierarchy Problem .................................................... 4 1.3 Thesis Contents ............................................................. 8 2 Lepton Flavor Violating Higgs Decays......................................... 10 2.1 Introduction.................................................................. 10 2.2 The Type III model......................................................... 13 2.3 The BGL Model ............................................................. 17 2.4 Results ........................................................................ 20 3 S3 Orbifold Higgs ................................................................. 23 3.1 Introduction.................................................................. 23 3.2 Twin Higgs Review ......................................................... 25 3.3 Building an Orbifold Higgs Model........................................ 26 3.3.1 Field Theory Orbifolds ............................................. 26 3.3.2 Orbifold Higgs ....................................................... 28 3.4 S3-Orbifold Higgs .......................................................... 31 3.4.1 U(1) Daughter Gauge Fields ...................................... 34 3.5 Phenomenology .............................................................. 34 3.6 Results and Future Prospects ............................................. 40 4 Radion-Higgs Mixing in 2HDMs ................................................ 42 4.1 Introduction.................................................................. 42 4.2 Model Description ......................................................... 46 i 4.2.1 The Custodial RS Model ......................................... 46 4.2.2 The Two-Higgs Doublet Model ................................... 49 4.2.3 The Radion Field .................................................. 54 4.3 Two Higgs-radion Mixing .................................................. 59 4.4 Model Predictions ........................................................... 62 4.4.1 Constraints From Current LHC Higgs Data .................... 62 4.4.2 Collider Signals...................................................... 65 4.4.3 Constraints From Heavy Higgs searches......................... 67 4.5 Conclusions .................................................................. 75 5 Higgs Radion Unification ........................................................ 77 5.1 Introduction.................................................................. 77 5.2 The Higgs-Radion Model .................................................. 78 5.2.1 The Higgs-Radion Mass............................................ 83 5.2.2 Higgs-Radion Interactions ......................................... 84 5.3 Conclusions .................................................................. 86 6 Lee-Wick 2HDM .................................................................. 88 6.1 Introduction.................................................................. 88 6.2 The Lee-Wick Standard Model Higgs Sector ........................... 90 6.3 The LW Two-Higgs Doublet Model ...................................... 92 6.4 Low Energy Constraints ................................................... 98 6.4.1 B+ ⌧ +⌫ ........................................................ 98 ! ⌧ 6.4.2 BdB¯d mixing .........................................................100 6.4.3 B X γ .........................................................102 ! s 6.5 Results and Future Prospects .............................................106 7Conclusions........................................................................108 Appendices ............................................................................110 A S3 Orbifold Higgs Appendix.....................................................110 B Radion-Higgs Mixing in 2HDMs Appendix ...................................112 B.1 Scalar Couplings After Mixing ............................................112 ii B.2 LHC Data ....................................................................116 C Lee-Wick Extension of the Two-Higgs Doublet Model Appendix .........117 References ..............................................................................120 iii ACKNOWLEDGEMENTS The work presented in this dissertation would not have been possible without the patience and guidance of Marc Sher. Many thanks are owed to Marco Merchand and Aria Johansen for whom I had the pleasure of collaborating with, as well as Joshua Erlich and Christopher Carone for their instruction and imparted wisdom. Most importantly, I would like to thank my close friends Connor Comstock, Daniel Kapec, Kyle Eskridge, Kaitlyn Fohl, and Brendan Sostak for the encouragement they provided throughout my time in graduate school. iv This dissertation is dedicated to all who have helped me along the way. v LIST OF TABLES 2.1 Decay widths of for the heavy scalar Higgs , H in the (⌫j,uk)-type BGL models. ................................................................. 21 2.2 Decay widths of for the pseudoscalar Higgs A in the (⌫j,uk)-type BGL models. ................................................................. 21 3.1 Matter fields in the parent theory. ....................................... 28 3.2 A summary of common SM Higgs boson decays[78] that we will consider in our analysis of the SM-like Higgs decays into b and c-sector states. The δV , RT ,andAX functions are defined in the Appendix. ................................................................... 36 4.1 Scalar couplings to pairs of fermions. .................................... 53 5.1 Couplings of hr to gauge bosons and fermions.......................... 85 5.2 The Higgs-radion and the SM Higgs branching ratios and total width. The SM values are taken from [155] ............................. 85 6.1 Yukawa couplings of the quarks to the Higgs bosons. Angles 1 and 2 are the symplectic rotations needed
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