Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mixed EW-QCD leading fermionic three-loop corrections at
  $\mathcal{O}(\alpha_s\alpha^2)$ to electroweak precision observables   Measurements of electroweak precision observables at future electron-positron
colliders, such as the CEPC, FCC-ee, and ILC, will be sensitive to physics at
multi-TeV scales. To achieve this sensitivity, precise predictions for the
Standard Model expectations of these observables are needed, including
corrections at the three- and four-loop level. In this article, results are
presented for the calculation of a subset of three-loop mixed electroweak-QCD
corrections, stemming from diagrams with a gluon exchange and two closed
fermion loops. The numerical impact of these corrections is illustrated for a
number of applications: the prediction of the W-boson mass from the Fermi
constant, the effective weak mixing angle, and the partial and total widths of
the Z boson. Two alternative renormalization schemes for the top-quark mass are
considered, on-shell and $\overline{\mbox{MS}}$.

31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
2
The categories of this paper are: math
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph