148 research outputs found
The Effective Lagrangian for Bulk Fermions in Models with Extra Dimensions
We compute the dimension 6 effective Lagrangian arising from the tree level
integration of an arbitrary number of bulk fermions in models with warped extra
dimensions. The coefficients of the effective operators are written in terms of
simple integrals of the metric and are valid for arbitrary warp factors, with
or without an infrared brane, and for a general Higgs profile. All relevant
tree level fermion effects in electroweak and flavor observables can be
computed using this effective Lagrangian.Comment: 22 pages. V2: typos corrected, matches published versio
Suppressing Electroweak Precision Observables in 5D Warped Models
We elaborate on a recently proposed mechanism to suppress large contributions
to the electroweak precision observables in five dimensional (5D) warped
models, without the need for an extended 5D gauge sector. The main ingredient
is a modification of the AdS metric in the vicinity of the infrared (IR) brane
corresponding to a strong deviation from conformality in the IR of the 4D
holographic dual. We compute the general low energy effective theory of the 5D
warped Standard Model, emphasizing additional IR contributions to the wave
function renormalization of the light Higgs mode. We also derive expressions
for the S and T parameters as a function of a generic 5D metric and zero-mode
wave functions. We give an approximate formula for the mass of the radion that
works even for strong deviation from the AdS background. We proceed to work out
the details of an explicit model and derive bounds for the first KK masses of
the various bulk fields. The radion is the lightest new particle although its
mass is already at about 1/3 of the mass of the lightest resonances, the KK
states of the gauge bosons. We examine carefully various issues that can arise
for extreme choices of parameters such as the possible reintroduction of the
hierarchy problem, the onset of nonperturbative physics due to strong IR
curvature or the creation of new hierarchies near the Planck scale. We conclude
that a KK scale of 1 TeV is compatible with all these constraints.Comment: 44 pages, 11 figures, references adde
Flavour Physics in the Soft Wall Model
We extend the description of flavour that exists in the Randall-Sundrum (RS)
model to the soft wall (SW) model in which the IR brane is removed and the
Higgs is free to propagate in the bulk. It is demonstrated that, like the RS
model, one can generate the hierarchy of fermion masses by localising the
fermions at different locations throughout the space. However, there are two
significant differences. Firstly the possible fermion masses scale down, from
the electroweak scale, less steeply than in the RS model and secondly there now
exists a minimum fermion mass for fermions sitting towards the UV brane. With a
quadratic Higgs VEV, this minimum mass is about fifteen orders of magnitude
lower than the electroweak scale. We derive the gauge propagator and despite
the KK masses scaling as , it is demonstrated that the
coefficients of four fermion operators are not divergent at tree level. FCNC's
amongst kaons and leptons are considered and compared to calculations in the RS
model, with a brane localised Higgs and equivalent levels of tuning. It is
found that since the gauge fermion couplings are slightly more universal and
the SM fermions typically sit slightly further towards the UV brane, the
contributions to observables such as and , from the
exchange of KK gauge fields, are significantly reduced.Comment: 33 pages, 15 figures, 5 tables; v2: references added; v3:
modifications to figures 4,5 and 6. version to appear in JHE
Soft-Wall Stabilization
We propose a general class of five-dimensional soft-wall models with AdS
metric near the ultraviolet brane and four-dimensional Poincar\'e invariance,
where the infrared scale is determined dynamically. A large UV/IR hierarchy can
be generated without any fine-tuning, thus solving the electroweak/Planck scale
hierarchy problem. Generically, the spectrum of fluctuations is discrete with a
level spacing (mass gap) provided by the inverse length of the wall, similar to
RS1 models with Standard Model fields propagating in the bulk. Moreover two
particularly interesting cases arise. They can describe: (a) a theory with a
continuous spectrum above the mass gap which can model unparticles
corresponding to operators of a CFT where the conformal symmetry is broken by a
mass gap, and; (b) a theory with a discrete spectrum provided by linear Regge
trajectories as in AdS/QCD models.Comment: 27 pages, 6 figures, 1 table. v2: references added, version to appear
in NJP Focus Issue on Extra Dimension
Universal contributions to scalar masses from five dimensional supergravity
We compute the effective Kahler potential for matter fields in warped
compactifications, starting from five dimensional gauged supergravity, as a
function of the matter fields localization. We show that truncation to zero
modes is inconsistent and the tree-level exchange of the massive gravitational
multiplet is needed for consistency of the four-dimensional theory. In addition
to the standard Kahler coming from dimensional reduction, we find the quartic
correction coming from integrating out the gravity multiplet. We apply our
result to the computation of scalar masses, by assuming that the SUSY breaking
field is a bulk hypermultiplet. In the limit of extreme opposite localization
of the matter and the spurion fields, we find zero scalar masses, consistent
with sequestering arguments. Surprisingly enough, for all the other cases the
scalar masses are tachyonic. This suggests the holographic interpretation that
a CFT sector always generates operators contributing in a tachyonic way to
scalar masses. Viability of warped su- persymmetric compactifications
necessarily asks then for additional contributions. We discuss the case of
additional bulk vector multiplets with mixed boundary conditions, which is a
partic- ularly simple and attractive way to generate large positive scalar
masses. We show that in this case successful fermion mass matrices implies
highly degenerate scalar masses for the first two generations of squarks and
sleptons.Comment: 23 pages. v2: References added, new section on effect of additional
bulk vector multiplets and phenomenolog
Stability of Scalar Fields in Warped Extra Dimensions
This work sets up a general theoretical framework to study stability of
models with a warped extra dimension where N scalar fields couple minimally to
gravity. Our analysis encompasses Randall-Sundrum models with branes and bulk
scalars, and general domain-wall models. We derive the Schrodinger equation
governing the spin-0 spectrum of perturbations of such a system. This result is
specialized to potentials generated using fake supergravity, and we show that
models without branes are free of tachyonic modes. Turning to the existence of
zero modes, we prove a criterion which relates the number of normalizable zero
modes to the parities of the scalar fields. Constructions with definite parity
and only odd scalars are shown to be free of zero modes and are hence
perturbatively stable. We give two explicit examples of domain-wall models with
a soft wall, one which admits a zero mode and one which does not. The latter is
an example of a model that stabilizes a compact extra dimension using only bulk
scalars and does not require dynamical branes.Comment: 25 pages, 2 figures; v2: minor changes to text, references added,
matches published versio
Cosmological phase transitions in warped space: gravitational waves and collider signatures
We study the electroweak phase transition within a 5D warped model including
a scalar potential with an exponential behavior, and strong back-reaction over the metric,
in the infrared. By means of a novel treatment of the superpotential formalism, we explore
parameter regions that were previously inaccessible. We nd that for large enough values
of the t'Hooft parameter (e.g. N = 25) the holographic phase transition occurs, and it
can force the Higgs to undergo a rst order electroweak phase transition, suitable for
electroweak baryogenesis. The model exhibits gravitational waves and colliders signatures.
It typically predicts a stochastic gravitational wave background observable both at the
Laser Interferometer Space Antenna and at the Einstein Telescope. Moreover the radion
tends to be heavy enough such that it evades current constraints, but may show up in
future LHC runs.The work of EM is supported by the Spanish MINEICO under
Grant FPA2015-64041-C2-1-P and FIS2017-85053-C2-1-P, by the Junta de Andaluc a under
Grant FQM-225, by the Basque Government under Grant IT979-16, and by the Spanish
Consolider Ingenio 2010 Programme CPAN (CSD2007-00042). The research of EM is also
supported by the Ram on y Cajal Program of the Spanish MINEICO, and by the Universidad
del Pa s Vasco UPV/EHU, Bilbao, Spain, as a Visiting Professor. GN is supported
by the Swiss National Science Foundation (SNF) under grant 200020-168988. The work
of MQ is partly supported by Spanish MINEICO under Grant CICYT-FEDER-FPA2014-
55613-P and FPA2017-88915-P, by the Severo Ochoa Excellence Program of MINEICO
under Grant SEV-2016-0588, and by CNPq PVE fellowship project 405559/2013-5
Backreaction from non-conformal quantum fields in de Sitter spacetime
We study the backreaction on the mean field geometry due to a non-conformal
quantum field in a Robertson-Walker background. In the regime of small mass and
small deviation from conformal coupling, we compute perturbatively the
expectation value of the stress tensor of the field for a variety of vacuum
states, and use it to obtain explicitly the semiclassical gravity solutions for
isotropic perturbations around de Sitter spacetime, which is found to be
stable. Our results show clearly the crucial role of the non-local terms that
appear in the effective action: they cancel the contribution from local terms
proportional to the logarithm of the scale factor which would otherwise become
dominant at late times and prevent the existence of a stable self-consistent de
Sitter solution. Finally, the opposite regime of a strongly non-conformal field
with a large mass is also considered.Comment: 31 page
The Fermion Mass Hierarchy in Models with Warped Extra Dimensions and a Bulk Higgs
The phenomenological implications of allowing the Higgs to propagate in both
AdS and a class of asymptotically AdS spaces are considered. Without
tuning, the vacuum expectation value (VEV) of the Higgs is peaked towards the
IR tip of the space and hence such a scenario still offers a potential
resolution to the gauge-hierarchy problem. When the exponent of the Higgs VEV
is approximately two and one assumes order one Yukawa couplings, then the
fermion Dirac mass term is found to range from eV to
GeV in approximate agreement with the observed fermion masses. However, this
result is sensitive to the exponent of the Higgs VEV, which is a free
parameter. This paper offers a number of phenomenological and theoretical
motivations for considering an exponent of two to be the optimal value. In
particular, the exponent is bounded from below by the Breitenlohner-Freedman
bound and the requirement that the dual theory resolves the gauge hierarchy
problem. While, in the model considered, if the exponent is too large,
electroweak symmetry may not be broken. In addition, the holographic method is
used to demonstrate, in generality, that the flatter the Higgs VEV, the smaller
the contribution to the electroweak parameter. In addition, the constraints
from a large class of gauge mediated and scalar mediated flavour changing
neutral currents, will be at minimal values for flatter Higgs VEVs. Some
initial steps are taken to investigate the physical scalar degrees of freedom
that arise from a mixing between the components and the Higgs
components.Comment: 34 pages, 20 figures, 1 table; v3: matches version to be published in
JHE
Phenomenology of Non-Custodial Warped Models
We study the effect of bulk fermions on electroweak precision observables in
a recently proposed model with warped extra dimensions and no custodial
symmetry. We find that the top-quark mass, together with the corrections to the
Zbb vertex and the one-loop contribution to the T parameter, which is finite,
impose important constraints that single out a well defined region of parameter
space. New massive vector bosons can be as light as 1.5 TeV and have large
couplings to the t_R quark, and suppressed couplings to the t_L, b_L and
lighter quarks. We discuss the implications for searches of models with warped
extra dimensions at the LHC.Comment: Most relevant one-loop contributions to EWP observables included,
physics results partially changed. References added. 29 pages, 14 Figure
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