Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extending low energy effective field theory with a complete set of
  dimension-7 operators   We present a complete and independent set of dimension-7 operators in the low
energy effective field theory (LEFT) where the dynamical degrees of freedom are
the standard model five quarks and all of the neutral and charged leptons. All
operators are non-Hermitian and are classified according to their baryon
($\Delta B$) and lepton ($\Delta L$) numbers violated. Including
Hermitian-conjugated operators, there are in total $3168$, $750$, $588$, $712$
operators with $(\Delta B,\Delta L)=(0,0)$, $(0,\pm 2)$, $(\pm 1,\mp 1)$, $(\pm
1,\pm 1)$ respectively. We perform the tree-level matching with the standard
model effective field theory (SMEFT) up to dimension-7 (dim-7) operators in
both LEFT and SMEFT. As a phenomenological application we study the effective
neutrino-photon interactions due to dim-7 lepton number violating operators
that are induced and much enhanced at one loop from dim-6 operators that in
turn are matched from dim-7 SMEFT operators. We compare the cross sections of
various neutrino-photon scattering with their counterparts in the standard
model and highlight the new features. Finally we illustrate how these effective
interactions could arise from ultraviolet completion.

3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn