Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\mathcal{O}(\alpha^2)$ ISR effects with a full electroweak one-loop
  correction for a top pair-production at the ILC   Precise predictions for an $e^+e^-\rightarrow t\bar{t}$ cross section are
presented at an energy region from 400 GeV to 800 GeV. Cross sections are
estimated including the beam-polarization effects with full
$\mathcal{O}(\alpha)$, and also with effects of the initial-state photon
emission. A radiator technique is used for the initial-state photon emission up
to two-loop order. A weak correction is defined as the full electroweak
corrections without the initial-state photonic corrections. As a result, it is
obtained that the total cross section of a top quark pair-production receives
the weak corrections of $+4\%$ over the trivial initial state corrections at a
centre of mass energy of 500 GeV. Among the initial state contributions, a
contribution from two-loop diagrams gives less than $0.11\%$ correction over
the one-loop ones at the center of mass energies of from $400$ GeV to $800$
GeV. In addition, an effect of a running coupling constant is also discussed.

24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg