154 research outputs found
Exploring Softly Broken SUSY Theories via Grassmannian Taylor Expansion
We demonstrate that soft SUSY breaking introduced via replacement of the
couplings of a rigid theory by spurion superfields has far reaching
consequences. Substituting these modified couplings into renormalization
constants, RG equations, solutions to these equations, fixed points, finiteness
conditions, etc., one can get corresponding relations for the soft terms by a
simple Taylor expansion over the Grassmannian variables. This way one can get
new solutions of the RG equations. Some examples including the MSSM, SUSY GUTs
and the N=2 Seiberg-Witten model are given.Comment: Latex, 10pp, no figure
Beyond the Standard Model (in search of supersymmetry) [online]
The present lectures contain an introduction to low energy
supersymmetry, a new symmetry that relates bosons and fermions,
in particle physics. The Standard Model of fundamental
interactions is briefly reviewed, and the motivation to
introduce supersymmetry is discussed. The main notions of
supersymmetry are introduced. The supersymmetric extension of
the Standard Model - the Minimal Supersymmetric Standard Model -
is considered in more detail. Phenomenological features of the
MSSM as well as possible experimental signatures of SUSY are
described. An intriguing situation with the supersymmetric Higgs
boson is discussed
Renormalizable 1/N_f Expansion for Field Theories in Extra Dimensions
We demonstrate how one can construct renormalizable perturbative expansion in
formally nonrenormalizable higher dimensional field theories. It is based on
-expansion and results in a logarithmically divergent perturbation
theory in arbitrary high space-time dimension. First, we consider a simple
example of -component scalar filed theory and then extend this approach to
Abelian and non-Abelian gauge theories with fermions. In the latter case,
due to self-interaction of non-Abelian fields the proposed recipe requires some
modification which, however, does not change the main results. The resulting
effective coupling is dimensionless and is running in accordance with the usual
RG equations. The corresponding beta function is calculated in the leading
order and is nonpolynomial in effective coupling. It exhibits either UV
asymptotically free or IR free behaviour depending on the dimension of
space-time. The original dimensionful coupling plays a role of a mass and is
also logarithmically renormalized. We analyze also the analytical properties of
a resulting theory and demonstrate that in general it acquires several ghost
states with negative and/or complex masses. In the former case, the ghost state
can be removed by a proper choice of the coupling. As for the states with
complex conjugated masses, their contribution to physical amplitudes cancels so
that the theory appears to be unitary.Comment: 32 pages, 20 figure
Higher Derivative Operators from Transmission of Supersymmetry Breaking on S_1/Z_2
We discuss the role that higher derivative operators play in field theory
orbifold compactifications on S_1/Z_2 with local and non-local (Scherk-Schwarz)
breaking of supersymmetry. Integrating out the bulk fields generates
brane-localised higher derivative counterterms to the mass of the brane (or
zero-mode of the bulk) scalar field, identified with the Higgs field in many
realistic models. Both Yukawa and gauge interactions are considered and the
one-loop results found can be used to study the ``running'' of the scalar field
mass with respect to the momentum scale in 5D orbifolds. In particular this
allows the study of the behaviour of the mass under UV scaling of the momentum.
The relation between supersymmetry breaking and the presence of higher
derivative counterterms to the mass of the scalar field is investigated. This
shows that, regardless of the breaking mechanism, (initial) supersymmetry
cannot, in general, prevent the emergence of such operators. Some implications
for phenomenology of the higher derivative operators are also presented.Comment: 29 pages, LaTeX. Added Section 4 ("Phenomenological implications:
living with ghosts?") and Appendix
Higgs Limit and b->s gamma Constraints in Minimal Supersymmetry
New limits on the Higgs mass from LEP and new calculations on the radiative
(penguin) decay of the b->s gamma branching ratio restrict the parameter space
of the Constrained Minimal Supersymmetric Standard Model (CMSSM).
We find that for the low tan(beta) scenario only one sign of the Higgs mixing
parameter is allowed, while the high tan(beta scenario is practically excluded,
if one requires all sparticles to be below 1 TeV and imposes radiative
electroweak symmetry breaking as well as gauge and Yukawa coupling unification.
For squarks between 1 and 2 TeV high tan(beta) scenarios are allowed. We
consider especially a new high tan(beta)=64 scenario with triple unification of
all Yukawa couplings of the third generation, which show an infrared fixed
point behaviour.
The upper limit on the mass of the lightest Higgs in the low (high) tan(beta)
scenarios is 97+-6~(120+-2) GeV, where the errors originate predominantly from
the uncertainty in the top mass.Comment: latex + 6 eps figs, 10 pages, IEKP-KA/98-08; References updated in
replacement + 1 figure concerning triple Yukawa unification added for final
publication in Phys. Let
Renormalization of the Fayet-Iliopoulos Term in Softly Broken SUSY Gauge Theories
It is shown that renormalization of the Fayet-Iliopoulos term in a softly
broken SUSY gauge theory, in full analogy with all the other soft terms
renormalizations, is completely defined in a rigid or an unbroken theory.
However, contrary to the other soft renormalizations, there is no simple
differential operator that acts on the renormalization functions of a rigid
theory and allows one to get the renormalization of the F-I term. One needs an
analysis of the superfield diagrams and some additional diagram calculations in
components. The method is illustrated by the four loop calculation of some part
of renormalization proportional to the soft scalar masses and the soft triple
couplings.Comment: Latex2e, 14 pages, uses axodraw.sty. References adde
Phenomenology of the 1/N Expansion for Field Theories in Extra Dimensions
In this paper we review the properties of the 1/ expansion in
multidimensional theories. Contrary to the usual perturbative expansion it is
renormalizable and contains only logarithmic divergencies. The price for it is
the presence of ghost states which, however, in certain cases do not contribute
to physical amplitudes. In this case the theory is unitary and one can
calculate the cross-sections. As an example we consider the differential cross
section of elastic scattering in -dimensional world. We
look also for the unification of the gauge couplings in multidimensional
Standard Model and its SUSY extension which takes place at energies lower than
in 4 dimensions.Comment: Submitted for the SUSY07 proceedings, 4 pages, LaTeX, 4 eps figures +
3 axodraw figure
A global fit to the anomalous magnetic moment, b -> Xs-gamma and Higgs limits in the constrained MSSM
New data on the anomalous magnetic moment of the muon together with the b -> Xsgamma decay rate are considered within the supergravity inspired constrained minimal supersymmetric model. We perform a global statistical X² analysis of these data and show that the allowed region of parameter space is bounded from below by the Higgs limit, which depends on the trilinear coupling and from above by the anomalous magnetic moment aµ. The newest b ->Xsgamma data deviate 1.7# from recent SM calculations and prefer a similar parameter region as the 2.6# deviation from aµ
Supersymmetric Models with Higher Dimensional Operators
In 4D renormalisable theories, integrating out massive states generates in
the low energy effective action higher dimensional operators (derivative or
otherwise). Using a superfield language it is shown that a 4D N=1
supersymmetric theory with higher derivative operators in either the Kahler or
the superpotential part of the Lagrangian and with an otherwise arbitrary
superpotential, is equivalent to a 4D N=1 theory of second order (i.e. without
higher derivatives) with additional superfields and renormalised interactions.
We provide examples where a free theory with trivial supersymmetry breaking
provided by a linear superpotential becomes, in the presence of higher
derivatives terms and in the second order version, a non-trivial interactive
one with spontaneous supersymmetry breaking. The couplings of the equivalent
theory acquire a threshold correction through their dependence on the scale of
the higher dimensional operator(s). The scalar potential in the second order
theory is not necessarily positive definite, and one can in principle have a
vanishing potential with broken supersymmetry. We provide an application to
MSSM and argue that at tree-level and for a mass scale associated to a higher
derivative term in the TeV range, the Higgs mass can be lifted above the
current experimental limits.Comment: 36 pages; some clarifications and references adde
Generalization of the BLM procedure and its scales in any order of pQCD
The Brodsky--Lepage--Mackenzie procedure is sequentially and unambiguously
extended to any fixed order of perturbative QCD beyond the so called
``large--\beta_0 approximation''. As a result of this procedure, the obtained
perturbation series looks like a continued-fraction representation. A
subsequent generalization of this procedure is developed, in order to optimize
the convergence of the final series, along the lines of the Fastest Convergence
Prescription. This generalized BLM procedure is applied to the Adler D function
and also to R_{e^+e^-} in QCD at NLO. A further extension of the sequential
BLM is presented which makes use of additional parameters to optimize the
convergence of the power-series at any fixed order of expansion.Comment: 24 pages, JHEP3, 4 figures are enclosed as eps-file, final version to
be published in JHE
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