Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-Loop Master Integrals for $q \bar{q} \to V V$: the Planar Topologies   The two-loop QCD corrections to vector boson pair production at hadron
colliders involve a new class of Feynman integrals: two-loop four-point
functions with two off-shell external legs. We describe their reduction to a
small set of master integrals by solving linear relations among them. We then
use differential equations in the external invariants to compute all master
integrals that are relevant to planar Feynman amplitudes. Our results are
expressed analytically in terms of generalised harmonic polylogarithms. The
calculation relies heavily on techniques that exploit the algebraic structure
of these functions, which we describe in detail.

37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph