Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbative unification of gauge couplings in supersymmetric $E_6$
  models   We study gauge coupling unification in supersymmetric $E_6$ models where an
additional $\mathrm{U}(1)'$ gauge symmetry is broken near the TeV scale and a
number of exotic matter fields from the $\bm{27}$ representations have
$O(\mathrm{TeV})$ mass. Solving the 2-loop renormalization group equations of
gauge couplings and a kinetic mixing coupling between the $\mathrm{U}(1)'$ and
$\mathrm{U}(1)_Y$ gauge fields, we find that the gauge couplings fall into the
non-perturbative regime below the GUT scale. We examine threshold corrections
on the running of gauge couplings from both light and heavy ($\sim$ GUT scale)
particles and show constraints on the size of corrections to achieve the
perturbative unification of gauge couplings.

11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio