Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A universal shape of empirical mass formula for all leptons and quarks   A specific universal shape of empirical mass formula is proposed for all
leptons $\nu_1, \nu_2, \nu_3$ and $e^-, \mu^-, \tau^- $ as well as all quarks
$u, c, t$ and $d, s, b$ of three generations, parametrized by three free
constants $ \mu, \epsilon, \xi$ assuming four different triplets of values.
Four such triplets of parameter values are determined or estimated from the
present data. Mass spectra in the four cases are related to each other by
shifting the triplet of parameters $ \mu, \epsilon, \xi$. For charged leptons
$\xi \simeq 0$ (but probably $\xi \neq 0$). If for them $\xi $ is put to be
exactly 0, then $m_\tau = 1776.80$ MeV is predicted after the input of
experimental $m_e$ and $m_\mu$ (the central value of experimental $m_\tau =
1776.99^{+0.29}_{-0.26}$ MeV corresponds to $ \xi =1.8\times 10^{-3}\neq 0$).
For neutrinos $1/\xi \simeq 0$ (but $1/\xi \neq 0$ in the case of normal
hierarchy $m^2_{\nu_1} \ll m^2_{\nu_2} \ll m^2_{\nu_3}$). If for neutrinos
$1/\xi $ is conjectured to be exactly 0, then $(m_{\nu_1}, m_{\nu_2},
m_{\nu_3}) \sim (1.5, 1.2, 5.1)\times 10^{-2}$ eV are predicted after the input
of experimental estimates $|m^2_{\nu_2} - m^2_{\nu_1}| \sim 8.0\times 10^{-5}
{\rm eV}^2$ and $|m^2_{\nu_3} - m^2_{\nu_2}| \sim 2.4\times 10^{-3} {\rm
eV}^2$. Thus, the mass ordering of neutrino states 1 and 2 is then inverted,
while the position of state 3 is normal.

22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con