Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Determination of the top-quark $\overline{\rm MS}$ running mass via its
  perturbative relation to the on-shell mass with the help of principle of
  maximum conformality   In the paper, we study the properties of the top-quark $\overline{\rm MS}$
running mass computed from its on-shell mass by using both the four-loop
$\overline{\rm MS}$-on-shell relation and the principle of maximum conformality
(PMC) scale-setting approach. The PMC adopts the renormalization group equation
to set the correct magnitude of the strong running coupling of the perturbative
series, its prediction avoids the conventional renormalization scale ambiguity,
and thus a more precise pQCD prediction can be achieved. After applying the PMC
to the four-loop $\overline{\rm MS}$-on-shell relation and taking the top-quark
on-shell mass $M_t=172.9\pm0.4$ GeV as an input, we obtain the renormalization
scale-invariant $\overline{\rm MS}$ running mass at the scale $m_t$, e.g.,
$m_t(m_t)\simeq 162.6\pm 0.4$ GeV, in which the error is the squared average of
those from $\Delta \alpha_s(M_Z)$, $\Delta M_t$, and the approximate error from
the uncalculated five-loop terms predicted by using the Pad\'{e} approximation
approach.

26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an