Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetries of the 2HDM: an invariant formulation and consequences   Symmetries of the Two-Higgs-Doublet Model (2HDM) potential that can be
extended to the whole Lagrangian, i.e. the CP-symmetries CP1, CP2, CP3 and the
Higgs-family symmetries Z2, U(1) and SO(3) are discussed. Sufficient and
necessary conditions in terms of constraints on masses and physical couplings
for the potential to respect each of these symmetries are found. Each symmetry
can be realized through several alternative cases, each case being a set of
relations among physical parameters. We will show that some of those relations
are invariant under the renormalization group, but others are not. The cases
corresponding to each symmetry group are illustrated by analyzing the interplay
between the potential and the vacuum expectation values.

15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin