Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-loop two-point functions with masses: asymptotic expansions and
  Taylor series, in any dimension   In all mass cases needed for quark and gluon self-energies, the two-loop
master diagram is expanded at large and small $q^2$, in $d$ dimensions, using
identities derived from integration by parts. Expansions are given, in terms of
hypergeometric series, for all gluon diagrams and for all but one of the quark
diagrams; expansions of the latter are obtained from differential equations.
Pad\'{e} approximants to truncations of the expansions are shown to be of great
utility. As an application, we obtain the two-loop photon self-energy, for all
$d$, and achieve highly accelerated convergence of its expansions in powers of
$q^2/m^2$ or $m^2/q^2$, for $d=4$.

35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg