Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear power corrections to $e^+e^-$ shape variables in the three-jet
  region   We use an abelian model to study linear power corrections which arise from
infrared renormalons and affect event shapes in $e^+e^-$ annihilation into
hadrons. While previous studies explored power corrections in the two-jet
region, in this paper we focus on the three-jet region, which is the most
relevant one for the determination of the strong coupling constant. We show
that for a broad class of shape variables, linear power corrections can be
written in a factorised form, that involves an analytically-calculable
function, that characterises changes in the shape variable when a soft parton
is emitted, and a constant universal factor. This universal factor is
proportional to the so-called Milan factor, introduced in earlier literature to
describe linear power corrections in the two-jet region. We find that the power
corrections in the two-jet and in the three-jet regions are different, a result
which is bound to have important consequences for the determination of the
strong coupling constant from event shapes. As a further illustration of the
power of the approach developed in this paper, we provide explicit analytic
expressions for the leading power corrections to the $C$-parameter and the
thrust distributions in the $N$-jet region for arbitrary $N$, albeit in the
abelian model.

31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom