Neutrino masses and mixings in non-factorizable geometry

We study precision electroweak constraints within a RS1 model with gauge fields and fermions in the bulk. The electroweak gauge symmetry is enhanced to SU(2)L × SU(2)R × U(1)B−L, thereby providing a custodial isospin symmetry sufficient to suppress excessive contributions to the T parameter. We then construct complete models, complying with all electroweak constraints, for solving the hierarchy problem, without supersymmetry or large hierarchies in the fundamental couplings. Using the AdS/CFT correspondence our models can be interpreted as dual to a strongly coupled conformal Higgs sector with global custodial isospin symmetry, gauge and fermionic matter being fundamental fields external to the CFT. This scenario has interesting collider signals, distinct from other RS models in the literature.

https://iopscience.iop.org/article/10.1088/1126-6708/2003/08/050/pdf

RS1, custodial isospin and precision tests

We examine various aspects of the conjectured duality between warped AdS5 geometries with boundary branes and strongly coupled (broken) conformal field theories coupled to dynamical gravity. We also examine compactifications with 5-d gauge fields, in which case the holographic dual is a broken CFT weakly coupled to dynamical gauge fields in addition to gravity. The holographic picture is used to clarify a number of important phenomenological issues in these and related models, including the questions of black hole production, radius stabilization, early universe cosmology, and gauge coupling unification.

https://iopscience.iop.org/article/10.1088/1126-6708/2001/08/017/pdf

Holography and phenomenology

This document proposes a collection of simplified models relevant to the design of new-physics searches at the Large Hadron Collider (LHC) and the characterization of their results. Both ATLAS and CMS have already presented some results in terms of simplified models, and we encourage them to continue and expand this effort, which supplements both signature-based results and benchmark model interpretations. A simplified model is defined by an effective Lagrangian describing the interactions of a small number of new particles. Simplified models can equally well be described by a small number of masses and cross-sections. These parameters are directly related to collider physics observables, making simplified models a particularly effective framework for evaluating searches and a useful starting point for characterizing positive signals of new physics. This document serves as an official summary of the results from the 'Topologies for Early LHC Searches' workshop, held at SLAC in September of 2010, the purpose of which was to develop a set of representative models that can be used to cover all relevant phase space in experimental searches. Particular emphasis is placed on searches relevant for the first similar to 50-500 pb(-1) of data and those motivated by supersymmetric models. This note largely summarizes material posted at http://lhcnewphysics.org/, which includes simplified model definitions, Monte Carlo material, and supporting contacts within the theory community. We also comment on future developments that may be useful as more data is gathered and analyzed by the experiments.

/pdf/simplified-models-for-lhc-new-physics-searches-2xnsyuuctc.pdf

Simplified Models for LHC New Physics Searches

Standard model loop contributions to the muon anomalous magnetic moment, a{sub {mu}}equivalent to(g{sub {mu}}-2)/2, and their theoretical uncertainties are scrutinized. The status and implications of the recently reported 2.6 sigma experiment versus theory deviation a{sub {mu}}{sup expt}-a{sub {mu}}{sup SM}=426(165) x 10{sup -11} are discussed. Possible explanations due to supersymmetric loop effects with m{sub SUSY}{approx_equal}55{sub -8}{sup +16}tan {beta} GeV, radiative mass mechanisms at the 1--2 TeV scale and other ''new physics'' scenarios are examined.

Muon anomalous magnetic moment: A harbinger for ''new physics''

Bulk Gauge Fields in the Randall-Sundrum Model

We study the effects of including brane localized curvature terms in the Randall-Sundrum (RS) model of the hierarchy. This leads to the existence of brane localized kinetic terms for the graviton. Such terms can be induced by brane and bulk quantum effects as well as Higgs-curvature mixing on the brane. We derive the modified spectrum of Kaluza-Klein (KK) gravitons and their couplings to 4-dimensional fields in the presence of these terms. We find that the masses and couplings of the KK gravitons have considerable dependence on the size of the brane localized terms; the weak-scale phenomenology of the model is consequently modified. In particular, the weak-scale spin-2 graviton resonances which generically appear in the RS model may be significantly lighter than previously assumed. However, they may avoid detection as their widths may be too narrow to be observable at colliders. In the contact interaction limit, for a certain range of parameters, the experimental reach for the scale of the theory is independent of the size of the boundary terms.

Brane localized curvature for warped gravitons

We explore the consequences of placing the Standard Model gauge fields in the bulk of the recently proposed localized gravity model of Randall and Sundrum. We find that the Kaluza Klein excitations of these fields are necessarily strongly coupled and we demonstrate that current precision electroweak data constrain the lowest states to lie above $\simeq 23$ TeV. Taking the weak scale to be $\sim 1$ TeV, the resulting implications on the model parameters force the bulk curvature, $R_5$, to be larger than the higher dimensional Planck scale, $M$, violating the consistency of the theory. In turn, to preserve $|R_5|\lsim M^2$, the weak scale must be pushed to $\gsim 100$ TeV. Hence we conclude that it is disfavored to place the Standard Model gauge fields in the bulk of this model as it is presently formulated.

The g−2 of the muon in localized gravity models☆

We study the phenomenology resulting from backgrounds of the form $AdS_5 \times {\cal M}^\delta$, where ${\cal M}^\delta$ denotes a generic manifold of dimension $\delta \geq 1$, and $AdS_5$ is the slice of 5-dimensional anti-de Sitter space which generates the hierarchy in the Randall-Sundrum (RS) model. The $\delta$ additional dimensions may be required when the RS model is embedded into a more fundamental theory. We analyze two classes of $\delta-$dimensional manifolds: flat and curved geometries. In the first case, the additional flat dimensions may accommodate localized fermions which in turn could resolve issues, such as proton decay and flavor, that were not addressed in the original RS proposal. In the latter case, the positive curvature of an $S^\delta$ manifold with $\delta> 1$ can geometrically provide the 5-dimensional warping of the RS model. We demonstrate the key features of these two classes of models by presenting the background solutions, the spectra of the Kaluza-Klein (KK) gravitons, and their 4-dimensional couplings, for the sample manifolds $S^1/Z_2$, $S^1$, and $S^2$. The resulting phenomenology is distinct from that of the original RS scenario due to the appearance of a multitude of new KK graviton states at the weak scale with couplings that are predicted to be measurably non-universal within the KK tower. In addition, in the case of flat compactifications, fermion localization can result in KK graviton and gauge field flavor changing interactions.

H. Davoudiasl

Papers

Bulk Gauge Fields in the Randall-Sundrum Model

Brane localized curvature for warped gravitons

Bulk Gauge Fields in the Randall-Sundrum Model

The g−2 of the muon in localized gravity models☆

Phenomenology on a Slice of $AdS_5 \times {\cal M}^δ$ Spacetime