Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization group invariant of lepton Yukawa couplings   By using quark Yukawa matrices only, we can construct renormalization
invariants that are exact at the one-loop level in the standard model. One of
them $I^q$ is accidentally consistent with unity, even though quark masses are
strongly hierarchical. We calculate a lepton version of the invariant $I^l$ for
Dirac and Majorana neutrino cases and find that $I^l$ can also be close to
unity. For the Dirac neutrino and inverted hierarchy case, if the lightest
neutrino mass is 3.0 meV to 8.8 meV, an equality $I^q=I^l$ can be satisfied.
These invariants are not changed even if new particles couple to the standard
model particles, as long as those couplings are generation independent.

16
The categories of this paper are: stat
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th