79 research outputs found
Polar supermultiplets, Hermitian symmetric spaces and hyperkahler metrics
We address the construction of four-dimensional N=2 supersymmetric nonlinear
sigma models on tangent bundles of arbitrary Hermitian symmetric spaces
starting from projective superspace. Using a systematic way of solving the
(infinite number of) auxiliary field equations along with the requirement of
supersymmetry, we are able to derive a closed form for the Lagrangian on the
tangent bundle and to dualize it to give the hyperkahler potential on the
cotangent bundle. As an application, the case of the exceptional symmetric
space E_6/SO(10) \times U(1) is explicitly worked out for the first time.Comment: 17 page
The mass of the Higgs boson in the trinification subgroup of E6
The extension of the standard model to SU(3)_L x SU(3)_R x SU(3)_C is
considered. Spontaneous symmetry breaking requires two Higgs field multiplets
with a strong hierarchical structure of vacuum expectation values. These vacuum
expectation values, some of them known from experiment, are used to construct
invariant potentials in form of a sum of individual potentials relevant at the
weak scale. As in a previous suggestion one may normalize the most important
individual potentials such that their mass eigenvalues agree with their very
large vacuum expectation values. In this case (for a wide class of parameters)
the scalar field corresponding to the standard model Higgs turns out to have
the precise mass value m_Higgs = v/sqrt(2) = 123 GeV at the weak scale. The
physical mass (pole mass) is larger and found to be 125 +/- 1.4 GeV.Comment: 5 pages, version appearing in Phys. Rev.
Non-universal gaugino masses from non-singlet F-terms in non-minimal unified models
In phenomenological studies of low-energy supersymmetry, running gaugino
masses are often taken to be equal near the scale of apparent gauge coupling
unification. However, many known mechanisms can avoid this universality, even
in models with unified gauge interactions. One example is an F-term vacuum
expectation value that is a singlet under the Standard Model gauge group but
transforms non-trivially in the symmetric product of two adjoint
representations of a group that contains the Standard Model gauge group. Here,
I compute the ratios of gaugino masses that follow from F-terms in non-singlet
representations of SO(10) and E_6 and their sub-groups, extending well-known
results for SU(5). The SO(10) results correct some long-standing errors in the
literature.Comment: 13 page
Unified Explanation of Quark and Lepton Masses and Mixings in the Supersymmetric SO(10) Model
We discussed neutrino masses and mixings in SUSY SO(10) model where quarks
and leptons have Yukawa couplings to at least two 10 and one Higgs
scalars. In this model, the Dirac and the right-handed Majorana mass terms are
expressed by linear combinations of quark and charged lepton mass matrices,
which then determine the neutrino mass matrix by the see-saw mechanism. We show
that there are various solutions to reproduce a large mixing angle for
and a small mixing angle for , as well as the
hierarchical mass spectrum of neutrinos.Comment: LaTeX, 32 pages including 15 eps figure
Relating Leptogenesis to Low Energy Flavor Violating Observables in Models with Spontaneous CP Violation
In the minimal left-right symmetric model, there are only two intrinsic CP
violating phases to account for all CP violation in both the quark and lepton
sectors, if CP is broken spontaneously by the complex phases in the VEV's of
the scalar fields. In addition, the left- and right-handed Majorana mass terms
for the neutrinos are proportional to each other due to the parity in the
model. This is thus a very constrained framework, making the existence of
correlations among the CP violation in leptogenesis, neutrino oscillation and
neutrinoless double beta decay possible. In these models, CP violation in the
leptonic sector and CP violation in the quark sector are also related. We find,
however, that such connection is rather weak due to the large hierarchy in the
bi-doublet VEV required by a realistic quark sector.Comment: RevTeX4, 21 pages; v2: references added, version to appear in Phys.
Rev.
Minimal Trinification
We study the trinified model, SU(3)_C x SU(3)_L x SU(3)_R x Z_3, with the
minimal Higgs sector required for symmetry breaking. There are five Higgs
doublets, and gauge-coupling unification results if all five are at the weak
scale, without supersymmetry. The radiative see-saw mechanism yields sub-eV
neutrino masses, without the need for intermediate scales, additional Higgs
fields, or higher-dimensional operators. The proton lifetime is above the
experimental limits, with the decay modes p -> \bar\nu K^+ and p -> \mu^+ K^0
potentially observable. We also consider supersymmetric versions of the model,
with one or two Higgs doublets at the weak scale. The radiative see-saw
mechanism fails with weak-scale supersymmetry due to the nonrenormalization of
the superpotential, but operates in the split-SUSY scenario.Comment: 23 pages, uses axodra
Anomaly-Free Supersymmetric SO(2N+2)/U(N+1) sigma-Model Based on the SO(2N+1) Lie Algebra of the Fermion Operators
The extended supersymmetric (SUSY) sigma-model has been proposed on the bases
of SO(2N+1) Lie algebra spanned by fermion annihilation-creation operators and
pair operators. The canonical transformation, extension of an SO(2N) Bogoliubov
transformation to an SO(2N+1) group, is introduced. Embedding the SO(2N+1)
group into an SO(2N+2) group and using SO(2N+2)/U(N+1) coset variables, we have
investigated the SUSY sigma-model on the Kaehler manifold, the coset space
SO(2N+2)/U(N+1). We have constructed the Killing potential, extension of the
potential in the SO(2N)/U(N) coset space to that in the SO(2N+2)/U(N+1) coset
space. It is equivalent to the generalized density matrix whose diagonal-block
part is related to a reduced scalar potential with a Fayet-Ilipoulos term. The
f-deformed reduced scalar potential is optimized with respect to vacuum
expectation value of the sigma-model fields and a solution for one of the
SO(2N+1) group parameters has been obtained. The solution, however, is only a
small part of all solutions obtained from anomaly-free SUSY coset models. To
construct the coset models consistently, we must embed a coset coordinate in an
anomaly-free spinor representation (rep) of SO(2N+2) group and give
corresponding Kaehler and Killing potentials for an anomaly-free
SO(2N+2)/U(N+1) model based on each positive chiral spinor rep. Using such
mathematical manipulation we construct successfully the anomaly-free
SO(2N+2)/U(N+1) SUSY sigma-model and investigate new aspects which have never
been seen in the SUSY sigma-model on the Kaehler coset space SO(2N)/U(N). We
reach a f-deformed reduced scalar potential. It is minimized with respect to
the vacuum expectation value of anomaly-free SUSY sigma-model fields. Thus we
find an interesting f-deformed solution very different from the previous
solution for an anomaly-free SO(2.5+2)/(SU(5+1)*U(1)) SUSY sigma-model.Comment: 24 pages, no fiure
Fermion Masses and Coupling Unification in E6. Life in the Desert
We present an Grand Unified model with a realistic pattern of fermion
masses. All standard model fermions are unified in three fundamental 27-plets
(i.e. supersymmetry is not invoked), which involve in addition right handed
neutrinos and three families of vector like heavy quarks and leptons. The
lightest of those can lie in the low TeV range, being accessible to future
collider experiments. Due to the high symmetry, the masses and mixings of all
fermions are closely related. The new heavy fermions play a crucial role for
the quark and lepton mass matrices and the bilarge neutrino oscillations. In
all channels generation mixing and violation arise from a single
antisymmetric matrix. The breaking proceeds via an intermediate energy
region with SU(3)_L\tm SU(3)_R\tm SU(3)_C gauge symmetry and a discrete
left-right symmetry. This breaking pattern leads in a straightforward way to
the unification of the three gauge coupling constants at high scales, providing
for a long proton lifetime. The model also provides for the unification of the
top, bottom and tau Yukawa couplings and for new interesting relations in
flavor and generation space.Comment: RevTex4, three ps figures, some correction
Composite model with neutrino large mixing
We suggest a simple composite model that induces the large flavor mixing of
neutrino in the supersymmetric theory. This model has only one hyper-color in
addition to the standard gauge group, which makes composite states of preons.
In this model, {\bf 10} and {\bf 1} representations in SU(5) grand unified
theory are composite states and produce the mass hierarchy. This explains why
the large mixing is realized in the lepton sector, while the small mixing is
realized in the quark sector. This model can naturally solve the atmospheric
neutrino problem. We can also solve the solar neutrino problem by improving the
model.Comment: 20 pages, Latex, no figure
Antisymmetric Higgs representation in SO(10) for neutrinos
A Model based on SO(10) grand unified theory (GUT) and supersymmetry is
presented to describe observed phenomena for neutrinos. The large mixing angles
among different generations, together with the small masses, are attributed to
the Higgs boson structure at the GUT energy scale. Quantitative discussions for
these observables are given, taking into account their energy evolution.Comment: 10 page
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