Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probing Unified Theories with Reduced Couplings at Future Hadron
  Colliders   The search for renormalization group invariant relations among parameters to
all orders in perturbation theory constitutes the basis of the reduction of
couplings concept. Reduction of couplings can be achieved in certain $N=1$
supersymmetric Grand Unified Theories and few of them can become even finite at
all loops. We review the basic idea, the tools that have been developed as well
as the resulting theories in which successful reduction of couplings has been
achieved so far. These include: (i) a reduced version of the minimal $N = 1$
$SU(5)$ model, (ii) an all-loop finite $N = 1$ $SU(5)$ model, (iii) a two-loop
finite $N = 1$ $SU(3)^3$ model and finally (vi) a reduced version of the
Minimal Supersymmetric Standard Model. In this paper we present a number of
benchmark scenarios for each model and investigate their observability at
existing and future hadron colliders. The heavy supersymmetric spectra featured
by each of the above models are found to be beyond the reach of the 14 TeV
HL-LHC. It is also found that the reduced version of the MSSM is already ruled
out by the LHC searches for heavy neutral MSSM Higgs bosons. In turn the
discovery potential of the 100 TeV FCC-hh is investigated and found that large
parts of the predicted spectrum of these models can be tested, but the higher
mass regions are beyond the reach even of the FCC-hh.

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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: eess
32
The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg