Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Very General But Not Ultimate Pattern of CKM Matrix   In this article we present a very general but not ultimate solution of CPV
problem in the standard model. Our study starts from a naturally hermitian
${\bf M^2}\equiv M^q \cdot M^{q\dagger}$ rather than the previously assumed
hermitian $M^q$. The only assumption employed here is the real part and
imaginary part of $\bf M^2$ can be respectively diagonalized by a common $\bf
U^q$ matrix. Such an assumption leads to a $\bf M^2$ pattern which depends on
only five parameters and can be diagonalized analytically by an $\bf U^q$
matrix which depends on only two of the parameters. Two of the derived mass
eigenvalues are predicted degenerate if one of the parameters $\bf C ~(C')$ in
up(down)-quark sector is zero. As the $\bf U^q$ patterns are obtained, thirty
six $V_{CKM}$ candidates are yielded and only eight of them, classified into
two groups, fit empirical data within the order of $O(\lambda)$. One of the
groups is further excluded in a numerical test and the surviving group predicts
the degenerate pair in a quark type are the lightest and the heaviest
generations rather than the lighter two generations assumed in previous
researches. However, there is still one unsatisfactory prediction in this
research, a quadruple equality in which four CKM elements of very different
values are predicted to be equal. It indicates the $\bf M^2$ pattern studied
here is still oversimplified by that employed assumption and the ultimate
solution can only be obtained by diagonalizing the unsimplified $\bf M^2$
matrix containing nine parameters directly. Though the result obtained here is
not the ultimate one yet, however, we are already very close to it.

23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci