Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fermion masses as mixing parameters in the SM   Flavor transitions via the charged current interactions are parametrized by a
three dimensional and unitary transformation. This so called mixing matrix
requires of four mixing parameters. Here we show that under the
phenomenological observation of hierarchical fermion masses, $m_3 \gg m_2 \gg
m_1$, a mixing parametrization can be built with its mixing parameters being
the corresponding four independent mass ratios of each fermion sector, i.e.,
$m_u/m_c$, $m_c/m_t$, $m_d/m_s$, and $m_s/m_b$ and $m_e/m_\mu$, $m_\mu/m_\tau$,
$m_{\nu 1}/m_{\nu 2}$, and $m_{\nu
  2}/m_{\nu 3}$, for the quark and lepton sector, respectively.

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The categories of this paper are: physics
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio