Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wilson coefficients for Higgs boson production and decoupling relations
  to $\mathcal{O}\left(\alpha_s^4\right)$   An important ingredient for the calculation of Higgs boson properties in the
infinite top quark mass limit is the knowledge of the effective coupling
between the Higgs bosons and gluons, i.e. the Wilson coefficients $C_H$ and
$C_{HH}$ for one and two Higgs bosons, respectively. In this work we calculate
for the first time $C_{HH}$ to four loops in a direct, diagrammatic way,
discussing in detail all issues arising due to the renormalization of operator
products. Furthermore, we also calculate the Wilson coefficient $C_H$ for the
coupling of a single Higgs boson to gluons as well as all four loop decoupling
relations in QCD with general SU$(N_c)$ colour factors. The latter are related
to $C_H$ and $C_{HH}$ via low-energy theorems.

24
The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess