Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rare fluctuations of the $S$-matrix at NLO in QCD   We calculate the rare fluctuations of the $S$-matrix on top of the full
next-to-leading order corrections in the center of mass frame. The relevant
result in the saturation regime shows that the exponential factor of the
$S$-matrix is $\sqrt{2}$ as large as the result which emerges when the rare
fluctuation effects are taken into account. We find that the factor of
$\sqrt{2}$ change of the exponential factor is induced by the gluon loop
corrections which compensate part of rapidity decrease of the $S$-matrix made
by quark loops and lead to the rare fluctuations becoming important again. To
ensure the relevant results of the $S$-matrix are independent of the frame
choice, the rare fluctuations of the $S$-matrix are also derived in a general
frame. It is found that all the results are consistent with each other in both
frames.

32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys