Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-Loop Master Integrals for $\gamma^* \to 3$ Jets: The planar
  topologies   The calculation of the two-loop corrections to the three jet production rate
and to event shapes in electron-positron annihilation requires the computation
of a number of up to now unknown two-loop four-point master integrals with one
off-shell and three on-shell legs. In this paper, we compute those master
integrals which correspond to planar topologies by solving differential
equations in the external invariants which are fulfilled by the master
integrals. We obtain the master integrals as expansions in $\e=(4-d)/2$, where
$d$ is the space-time dimension. The results are expressed in terms of newly
introduced two-dimensional harmonic polylogarithms, whose properties are
shortly discussed. For all two-dimensional harmonic polylogarithms appearing in
the divergent parts of the integrals, expressions in terms of Nielsen's
polylogarithms are given. The analytic continuation of our results to other
kinematical situations is outlined.

13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph