Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum guts of the minimal potentially realistic $\mathrm{SO}(10)$
  Higgs model   We study several aspects of the quantum structure of the minimal potentially
realistic renormalizable $\mathrm{SO}(10)$ Higgs model in which the
$\mathbf{45}\oplus \mathbf{126}$ scalars spontaneously break the symmetry down
to the Standard Model group $\mathrm{SU}(3)_{c}\times \mathrm{SU}(2)_{L}\times
\mathrm{U}(1)_{Y}$. With a complete information about the one-loop corrections
to the masses of all scalars in the theory and the one-loop beta functions
governing the running of all dimensionless scalar self-couplings, the domains
of the parameter space where the model can be treated perturbatively are
established, along with improved bounds from the requirements of the SM vacuum
stability and gauge coupling unification. We demonstrate that the model is
fully consistent and potentially realistic only in very narrow regions of the
parameter space corresponding to the breaking chains with well pronounced
$\mathrm{SU}(4)_{C}\times \mathrm{SU}(2)_L\times \mathrm{U}(1)_R$ and
$\mathrm{SU}(3)_{c}\times \mathrm{SU}(2)_L\times \mathrm{SU}(2)_R\times
\mathrm{U}(1)_{B-L}$ intermediate symmetries, with a clear preference for the
former case. Barring accidental fine-tunings in the scalar sector, this makes
it possible to provide a very sharp prediction for the position of the
unification scale and the value of the associated gauge coupling, with clear
implications for the phenomenology of grand unified models based on this
structure.

36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph