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Neutrino masses and mixing in braneworld theories,” hepph/0011295
"... We present a comprehensive study of fivedimensional braneworld models for neutrino physics based on flat compactifications. Particular emphasis is put on the inclusion of bulk mass terms. We derive a number of general results for such braneworld models with bulk mass terms. In particular, in the ..."
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We present a comprehensive study of fivedimensional braneworld models for neutrino physics based on flat compactifications. Particular emphasis is put on the inclusion of bulk mass terms. We derive a number of general results for such braneworld models with bulk mass terms. In particular, in the limit of small branebulk couplings, the electroweak eigenstates are predominantly given as a superposition of three light states with nontrivial small admixtures of bulk states. As a consequence, neutrinos can undergo standard oscillations as well as oscillation into bulk KaluzaKlein states. We use this structure to construct a specific model based on Z2 orbifolding and bulk Majorana masses which is compatible with all observed oscillation phenomena. The solar neutrino deficit is explained by oscillations into sterile bulk states while the atmospheric neutrino deficit is due to νµ – ντ oscillations with naturally maximal mixing. In addition, the model can accommodate the LSND result and a significant neutrino dark matter component. We also analyze the constraints from supernova
Casimir energy and brane stability
"... We investigate the role of Casimir energy as a mechanism for brane stability in fivedimensional models with the fifth dimension compactified on an S 1 / Z2 orbifold, which includes the RandallSundrum two brane model (RS1). We employ a ζfunction regularization technique utilizing the Schwinger pro ..."
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We investigate the role of Casimir energy as a mechanism for brane stability in fivedimensional models with the fifth dimension compactified on an S 1 / Z2 orbifold, which includes the RandallSundrum two brane model (RS1). We employ a ζfunction regularization technique utilizing the Schwinger proper time method and the Jacobi theta function identity to calculate the oneloop effective potential. We show that the combination of the Casimir energies of a scalar Higgs field, the three generations of Standard Model fermions and one additional massive nonSM scalar in the bulk produce a nontrivial minimum of the potential. In particular, we consider a scalar field with a coupling in the bulk to a Lorentz violating vector particle localized to the compactified dimension. Such a scalar may provide a natural means of the finetuning needed for stabilization of the brane spearation. Lastly, we briefly review the possibility that Casimir energy plays a role in generating the currently observed epoch of cosmological inflation by examining a simple fivedimensional anisotropic metric.
approach. Investigation into Compactified Dimensions: Casimir Energies and Phenomenological Aspects
, 2008
"... The primary focus of this dissertation is the study of the Casimir effect and the possibility that this phenomenon may serve as a mechanism to mediate higher dimensional stability, and also as a possible mechanism for creating a small but nonzero vacuum energy density. In chapter one we review the n ..."
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The primary focus of this dissertation is the study of the Casimir effect and the possibility that this phenomenon may serve as a mechanism to mediate higher dimensional stability, and also as a possible mechanism for creating a small but nonzero vacuum energy density. In chapter one we review the nature of the quantum vacuum and discuss the different contributions to the vacuum energy density arising from different sectors of the standard model. Next, in chapter two, we discuss cosmology and the introduction of the cosmological constant into Einstein’s field equations. In chapter three we explore the Casimir effect and study a number of mathematical techniques used to obtain a finite physical result for the Casimir energy. We also review the experiments that have verified the Casimir force. In chapter four we discuss the introduction of extra dimensions into physics. We begin by reviewing Kaluza Klein theory, and then discuss three popular higher dimensional models: bosonic string theory, large extra dimensions and warped extra dimensions.