Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The vacuum seagull: evaluating a 3-loop Feynman diagram with 3 mass
  scales   We study a 3-loop 5-propagator Feynman Integral, which we call the vacuum
seagull, with arbitrary masses and spacetime dimension using the Symmetries of
Feynman Integrals method. It is our first example with potential numerators. We
determine the associated group $G \subset GL(3)$ which happens to be 5
dimensional and the associated set of 5 differential equations. $G$ is
determined by a geometric approach which we term "current freedom". We find the
generic $G$-orbit to be co-dimension 0 and hence the method is maximally
effective, and the diagram reduces to a line integral over simpler diagrams.
For a reduced parameter space with 3 mass scales we are able to present
explicit results in terms of special functions. This might be the first such
example.

19
The categories of this paper are: eess
2
The categories of this paper are: math
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat