Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relic density of dark matter in the inert doublet model beyond leading
  order for the low mass region: 1. Renormalisation and constraints   The present paper is the first in a series that addresses the calculation of
the full one-loop corrections of dark matter (DM) annihilation cross-sections
in the low mass region of the inert doublet model (IDM). We first review the
renormalisation of the model both in a fully on-shell (OS) scheme and a mixed
scheme combining on-shell (for the masses) and a $\overline{{\rm MS}}$ approach
when the partial invisible width is closed and does not allow the use of a full
OS scheme. The scale dependence introduced by the mixed scheme is shown to be
tracked through an analysis of a parametrisation of the tree-level
cross-section and the $\beta$ constant of a specific coupling. We discuss how
to minimise the scale dependence. The theoretical uncertainty brought by the
scale dependence leads us to introduce a new criterion on the perturbativity of
the IDM. This criterion further delimits the allowed parameter space which we
investigate carefully by including a host of constraints, both theoretical and
experimental, including in particular, new data from the LHC. We come up with a
set of benchmark points that cover three different mechanisms for a viable
relic density of DM: {\it i)} a dominance of co-annihilation into a fermion
pair, { \it ii)} annihilation into 2 vector bosons of which one is off-shell
that requires the calculation of a $2 \to 3$ process at one-loop, {\it iii)}
annihilation that proceeds through the very narrow standard model Higgs
resonance. Since the $2 \to 3$ vector boson channel features in all three
channels and is essentially a build up on the simpler annihilation to OS vector
bosons, we study the latter in detail in the present paper. We confirm again
that the corrected cross-sections involve a parameter that represents
rescattering in the dark sector that a tree-level computation in not sensitive
to.

15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con