Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Four-Particle Phase Space Integrals in Massless QCD   The inclusive four-particle phase space integral of any $1\to 4$ matrix
element in massless QCD contains divergences due to the soft and collinear
emission of up to two particles in the final state. We show that any term
appearing in this phase space integral can be expressed as linear combination
of only four master integrals. These four master integrals are all computed in
dimensional regularisation up to their fourth order terms, relevant to
next-to-next-to-leading order jet calculations, both in an analytic form and
purely numerically. New analytical and numerical techniques are developed in
this context. We introduce the tripole parametrisation of the four-parton phase
space. Furthermore, we exploit unitarity relations between multi-parton phase
space integrals and multi-loop integrals. For the numerical calculation, the
iterated sector decomposition of loop integrals is extended to phase space
integrals. The results in this paper lead to infrared subtraction terms needed
for the double real radiation contributions to jet physics in $e^+e^-$
annihilation at the next-to-next-to-leading order.

10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th