Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Natural emergence of neutrino masses and dark matter from $R$-symmetry   We propose a supersymmetric extension of the Standard Model (SM) with a
continuous global $U(1)_R$ symmetry. The $R$-charges of the SM fields are
identified with that of their lepton numbers. As a result, both bilinear and
trilinear `$R$-parity violating' (RPV) terms could be present at the
superpotential. However, $R$-symmetry is not an exact symmetry as it is broken
by supergravity effects. Hence, sneutrinos acquire a small vacuum expectation
value in this framework. However, a suitable choice of basis ensures that the
bilinear RPV terms can be completely rotated away from the superpotential and
the scalar potential. On the other hand, the trilinear terms play a very
crucial role in generating neutrino masses and mixing at the tree level. This
is noticeably different from the typical $R$-parity violating Minimal
Supersymmetric Standard Model. Also, gravitino mass turns out to be the order
parameter of $R$-breaking and is directly related to the neutrino mass. We show
that such a gravitino, within the mass range $200~\text{keV}\lesssim
m_{3/2}\lesssim 0.1~\text{GeV}$ can be an excellent dark matter candidate.
Finally, we looked into the collider implications of our framework.

18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol