Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Accordiohedra as positive geometries for generic scalar field theories   We build upon the prior works of [1-3] to study tree-level planar amplitudes
for a massless scalar field theory with polynomial interactions. Focusing on a
specific example, where the interaction is given by $\lambda_3\phi^{3}\
+\lambda_4 \phi^{4}$, we show that a specific convex realization of a simple
polytope known as the accordiohedron in kinematic space is the positive
geometry for this theory. As in the previous cases, there is a unique planar
scattering form in kinematic space, associated to each positive geometry which
yields planar scattering amplitudes.

36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph