Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lepton Mass Hierarchy and Neutrino Mixing   We speculate that the mass spectrum of three neutrinos might have a normal
hierarchy as that of three charged leptons or that of three up-type (or
down-type) quarks. In this spirit, we propose a novel parametrization of the
$3\times 3$ lepton flavor mixing matrix. Its mixing angles $\theta_l$ and
$\theta_\nu$ can be related to the mass ratios $m_e/m_\mu$ and $m_1/m_2$ in a
specific texture of lepton mass matrices with vanishing (1,1) elements:
$\tan\theta_l = \sqrt{m_e/m_\mu}$ and $\tan\theta_\nu = \sqrt{m_1/m_2}$. The
latter relation, together with solar and atmospheric neutrino oscillation data,
predicts 0.0030 eV $\lesssim m_1 \lesssim$ 0.0073 eV, 0.009 eV $\lesssim m_2
\lesssim $ 0.012 eV and 0.042 eV $\lesssim m_3 \lesssim$ 0.058 eV. The smallest
neutrino mixing angle is found to be $\theta_{13} \approx \theta_l/\sqrt{2}
\approx 3^\circ$, which is experimentally accessible in the near future.

37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org