Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General Kinetic Mixing in Gauged $U(1)_{L_\mu-L_\tau}$ Model for Muon
  $g-2$ and Dark Matter   The gauged $U(1)_{L_\mu-L_\tau}$ extension of the Standard Model is a very
simple framework that can alleviate the tension in muon anomalous magnetic
dipole moment, reinforced by the recent Fermilab measurement. We explore
experimental probes of the $(g-2)_\mu$ target with a general treatment of
kinetic mixing between the $Z'$ gauge boson and the photon. The physical value
of the kinetic mixing depends on a free parameter of the model and energy scale
of a process. We find neutrino constraints on the $(g-2)_\mu$ target including
Borexino, CE$\nu$NS, and white dwarfs are sensitive to this freedom and can be
lifted if the kinetic mixing lies in proximity of zero at low momentum
transfer. As a further step, we explore $L_\mu-L_\tau$ charged dark matter with
a thermal origin and show that the same scenario of kinetic mixing can relax
existing direct detection constraints and predict novel recoil energy
dependence in the upcoming searches. Future joint effort of neutrino and dark
matter experiments and precision spectral measurement will be the key to test
such a theory.

23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio