770 research outputs found
Higgsless Electroweak Theory following from the Spherical Geometry
A new formulation of the Electroweak Model with 3-dimensional spherical
geometry in the target space is suggested. The free Lagrangian in the spherical
field space along with the standard gauge field Lagrangian form the full
Higgsless Lagrangian of the model, whose second order terms reproduce the same
fields with the same masses as the Standard Electroweak Model. The vector
bosons and electron masses are generated automatically, so there is no need in
special mechanism.Comment: 6 page
The Minimal Set of Electroweak Precision Parameters
We present a simple method for analyzing the impact of precision electroweak
data above and below the Z-peak on flavour-conserving heavy new physics. We
find that experiments have probed about ten combinations of new physics
effects, which to a good approximation can be condensed into the effective
oblique parameters Shat, That, Uhat, V, X, W, Y (we prove positivity
constraints W, Y >= 0) and three combinations of quark couplings (including a
distinct parameter for the bottom). We apply our method to generic extra Z'
vectors.Comment: 22 pages, 3 figure
Gauge-Higgs Unification in Orbifold Models
Six-dimensional orbifold models where the Higgs field is identified with some
internal component of a gauge field are considered. We classify all possible
T^2/Z_N orbifold constructions based on a SU(3) electroweak gauge symmetry.
Depending on the orbifold twist, models with two, one or zero Higgs doublets
can be obtained. Models with one Higgs doublet are particularly interesting
because they lead to a prediction for the Higgs mass, which is twice the W
boson mass at leading order: m_H=2 m_W. The electroweak scale is quadratically
sensitive to the cut-off, but only through very specific localized operators.
We study in detail the structure of these operators at one loop, and identify a
class of models where they do not destabilize the electroweak scale at the
leading order. This provides a very promising framework to construct realistic
and predictive models of electroweak symmetry breaking.Comment: 27 pages, uses axodraw.sty; v2: version to appear in JHE
Chiral Compactification on a Square
We study quantum field theory in six dimensions with two of them compactified
on a square. A simple boundary condition is the identification of two pairs of
adjacent sides of the square such that the values of a field at two identified
points differ by an arbitrary phase. This allows a chiral fermion content for
the four-dimensional theory obtained after integrating over the square. We find
that nontrivial solutions for the field equations exist only when the phase is
a multiple of \pi/2, so that this compactification turns out to be equivalent
to a T^2/Z_4 orbifold associated with toroidal boundary conditions that are
either periodic or anti-periodic. The equality of the Lagrangian densities at
the identified points in conjunction with six-dimensional Lorentz invariance
leads to an exact Z_8\times Z_2 symmetry, where the Z_2 parity ensures the
stability of the lightest Kaluza-Klein particle.Comment: 28 pages, latex. References added. Clarifying remarks included in
section 2. Minor corrections made in section
New Confining N=1 Supersymmetric Gauge Theories
We examine N=1 supersymmetric gauge theories which confine in the presence of
a tree-level superpotential. We show the confining spectra which satisfy the 't
Hooft anomaly matching conditions and give a simple method to find the
confining superpotential. Using this method we fix the confining
superpotentials in the simplest cases, and show how these superpotentials are
generated by multi-instanton effects in the dual theory. These new type of
confining theories may be useful for model building, since the size of the
matter content is not restricted by an index constraint. Therefore, one expects
that a large variety of new confining spectra can be obtained using such
models.Comment: 26 pages, LaTe
Vacuum Energy Density and Cosmological Constant in dS Brane World
We discuss the vacuum energy density and the cosmological constant of dS
brane world with a dilaton field. It is shown that a stable AdS brane can
be constructed and gravity localization can be realized. An explicit relation
between the dS bulk cosmological constant and the brane cosmological constant
is obtained. The discrete mass spectrum of the massive scalar field in the
AdS brane is used to acquire the relationship between the brane
cosmological constant and the vacuum energy density. The vacuum energy density
in the brane gotten by this method is in agreement with astronomical
observations.Comment: 16 pages,4 figure
Seiberg-Witten Description of the Deconstructed 6D (0,2) Theory
It has recently been suggested that, in a large N limit, a particular four
dimensional gauge theory is indistinguishable from the six dimensional CFT with
(0,2) supersymmetry compactified on a torus. We give further evidence for this
correspondence by studying the Seiberg-Witten curve for the "deconstructed"
theory and demonstrating that along the reduced Coulomb branch of moduli space
(on the intersection of the Higgs and Coulomb branches) it describes the low
energy physics on a stack of M5-branes on a torus, which is the (0,2) theory on
a torus as claimed. The M-theory construction helps to clarify the enhancement
of supersymmetry in the deconstructed theory at low energies, and demonstrates
its stability to radiative and instanton corrections. We demonstrate the role
of the theta vacuum in the deconstructed theory. We point out that by varying
the theta parameters and gauge couplings in the deconstructed theory, the
complex structure of the torus can be chosen arbitrarily, and the torus is not
metrically S^1 x S^1 in general.Comment: 13 pages, 2 figure
The Super-little Higgs
Supersymmetry combined with little-Higgs can render the Higgs vev
super-little, providing models of electroweak symmetry breaking free from
fine-tunings. We discuss the difficulties that arise in implementing this idea
and propose one simple successful model. Thanks to appropriately chosen Higgs
representations, D-terms give no tree-level mass term to the Goldstone. The
fermion representations are anomaly free, generation independent and embeddable
into an SU(6) GUT. A simple mechanism provides the large top quark mass.Comment: Additional mechanism to get a quartic coupling discussed. References
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Variations of Little Higgs Models and their Electroweak Constraints
We calculate the tree-level electroweak precision constraints on a wide class
of little Higgs models including: variations of the Littlest Higgs SU(5)/SO(5),
SU(6)/Sp(6), and SU(4)^4/SU(3)^4. By performing a global fit to the precision
data we find that for generic regions of the parameter space the bound on the
symmetry breaking scale f is several TeV, where we have kept the normalization
of f constant in the different models. For example, the ``minimal''
implementation of SU(6)/Sp(6) is bounded by f>3.0 TeV throughout most of the
parameter space, and SU(4)^4/SU(3)^4 is bounded by f^2 = f_1^2+f_2^2 > (4.2
TeV)^2. In certain models, such as SU(4)^4/SU(3)^4, a large f does not directly
imply a large amount of fine tuning since the heavy fermion masses that
contribute to the Higgs mass can be lowered below f for a carefully chosen set
of parameters. We also find that for certain models (or variations) there exist
regions of parameter space in which the bound on f can be lowered into the
range 1-2 TeV. These regions are typically characterized by a small mixing
between heavy and standard model gauge bosons, and a small (or vanishing)
coupling between heavy U(1) gauge bosons and the light fermions. Whether such a
region of parameter space is natural or not is ultimately contingent on the UV
completion.Comment: 32 pages, 13 figures; revised discussion of SU(4)^4/SU(3)^4 model,
bound on f is slightly highe
Dilatonic p-Branes and Brane Worlds
We study a general dilatonic p-brane solution in arbitrary dimensions in
relation to the Randall-Sundrum scenario. When the p-brane is fully localized
along its transverse directions, the Kaluza-Klein zero mode of bulk graviton is
not normalizable. When the p-brane is delocalized along its transverse
directions except one, the Kaluza-Klein zero mode of bulk graviton is
normalizable if the warp factor is chosen to increase, in which case there are
singularities at finite distance away from the p-brane. Such delocalized
p-brane can be regarded as a dilatonic domain wall as seen in higher
dimensions. This unusual property of the warp factor allows one to avoid a
problem of dilatonic domain wall with decreasing warp factor that free massive
particles are repelled from the domain wall and hit singularities, since
massive particles with finite energy are trapped around delocalized p-branes
with increasing warp factor by gravitational force and can never reach the
singularities.Comment: 13 pages, LaTe
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