Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An exact CKM matrix related to the approximate Wolfenstein form   Noting the hierarchy between three mixing angles, $\theta_{2,3}={\cal
O}(\theta_1^2)$, we present an exact form of the quark mixing matrix, replacing
Wolfenstein's approximate form. In addition, we suggest to rotate the unitarity
triangle, using the weak CP phase convention where the phase is located at the
(31) element $\sin\theta_1\sin\theta_2 e^{i\delta}$ while the (13) element
$\sin\theta_1\sin\theta_3$ is real. For the $(ab)$ unitarity triangle, the base
line (x-axis) is defined from the product of the first row elements,
$V_{1a}V^*_{1b}$, and the angle between two sides at the origin is defined to
be the phase $\delta$. This is a useful definition since every Jarlskog
triangle has the angle $\delta$ at the origin, defined directly from the
unitarity condition. It is argued that $\delta$ represents the barometer of the
weak CP violation, which can be used to relate it to possible Yukawa textures.

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The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
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The categories of this paper are: funct-an
1
The categories of this paper are: cs