15 research outputs found
Towards proof of new identity for Green functions in N=1 supersymmetric electrodynamics
For the N=1 supersymmetric massless electrodynamics, regularized by higher
derivatives, we describe a method, by which one can try to prove the new
identity for the Green functions, which was proposed earlier. Using this method
we show that some contribution to the new identity are really 0.Comment: 16 pages, 1 figure, an error corrected, significant change
Reduction of Couplings in Quantum Field Theories with applications in Finite Theories and the MSSM
We apply the method of reduction of couplings in a Finite Unified Theory and
in the MSSM. The method consists on searching for renormalization group
invariant relations among couplings of a renormalizable theory holding to all
orders in perturbation theory. It has a remarkable predictive power since, at
the unification scale, it leads to relations between gauge and Yukawa couplings
in the dimensionless sectors and relations involving the trilinear terms and
the Yukawa couplings, as well as a sum rule among the scalar masses and the
unified gaugino mass in the soft breaking sector. In both the MSSM and the FUT
model we predict the masses of the top and bottom quarks and the light Higgs in
remarkable agreement with the experiment. Furthermore we also predict the
masses of the other Higgses, as well as the supersymmetric spectrum, both being
in very confortable agreement with the LHC bounds on Higgs and supersymmetric
particles.Comment: 18 pages, 4 figures. To appear in the proceedings of LT-10, Varna.
Based on invited talks given at: LT-10, Varna; PACT-2013, Madrid; SQS'2013,
Dubna; CORFU 2013, Corfu, and in several invited seminar
The Fayet-Iliopoulos D-term and its renormalisation in softly-broken supersymmetric theories
We consider the renormalisation of the Fayet-Iliopoulos D-term in a
softly-broken abelian supersymmetric theory, and calculate the associated
beta-function through three loops. We show that there exists (at least through
three loops) a renormalisation group invariant trajectory for the coefficient
of the D-term, corresponding to the conformal anomaly solution for the soft
masses and couplings.Comment: 30 pages, Revtex, 15 Figures. Minor changes, and inadvertent omission
of author from this abstract correcte
Dualities in all order finite N=1 gauge theories
We search for dual gauge theories of all-loop finite, N = 1 supersymmetric
gauge theories. It is shown how to find explicitly the dual gauge theories of
almost all chiral, N = 1, all-loop finite gauge theories, while several models
have been discussed in detail, including a realistic finite SU(5) unified
theory. Out of our search only one all-loop, N = 1 finite SO(10) theory
emerges, so far, as a candidate for exhibiting also S-duality.Comment: 54 pages, latex, 2 figure
Background field formalism and construction of effective action for N=2, d=3 supersymmetric gauge theories
We review the background field method for three-dimensional Yang-Mills and
Chern-Simons models in N=2 superspace. Superfield proper time (heat kernel)
techniques are developed and exact expressions of heat kernels for constant
backgrounds are presented. The background field method and heat kernel
techniques are applied for evaluating the low-energy effective actions in N=2
supersymmetric Yang-Mills and Chern-Simons models as well as in N=4 and N=8 SYM
theories.Comment: 1+30 pages, dedicated to the 60 year Jubilee of Professor D.I.
Kazakov; references added. arXiv admin note: substantial text overlap with
arXiv:1010.496
Finite Unified Theories and the Higgs boson
All-loop Finite Unified Theories (FUTs) are very interesting N = 1
supersymmetric Grand Unified Theories (GUTs) realising an old field theory
dream, and moreover have a remarkable predictive power due to the required
reduction of couplings. Based on this theoretical framework phenomenologically
consistent FUTs have been constructed. Here we review two FUT models based on
the SU(5) gauge group, which can be seen as special, restricted and thus very
predictive versions of the MSSM. We show that from the requirement of correct
prediction of quark masses and other experimental constraints a light
Higgs-boson mass in the range M_h ~ 121 - 126 GeV is predicted, in striking
agreement with recent experimental results from ATLAS and CMS. The model
furthermore naturally predicts a relatively heavy spectrum with colored
supersymmetric particles above ~ 1.5 TeV in agreement with the non-observation
of those particles at the LHC.Comment: 13 pages, 5 figures. Proceedings devoted to the Scientific and Human
Legacy of Julius Wess, initiated by the JW2011 Workshop, August 27 - 28,
2011, Donji Milanovac, Serbi