Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Branching ratios of $B_s\to (K^+K^-,K^0\bar{K}^0)$ and $B_d\to \pi^+
  \pi^- and determination of \boldmath{$\gamma (\phi_3)$   We explored various cases for the branching ratios (BRs) of $B_s\to K^+K^-$,
$B_s\to K^0\bar{K}^0$ and $B_d\to \pi^+ \pi^-$ decays. We study the possibility
of determining $\gamma $ by using the following the measurements: (a) BRs of
$B_s\to K^+K^-$, and $B_s\to K^0\bar{K}^0$; (b) the ratio of direct CP
asymmetries in $B_d\to \pi^+ \pi^-$ and $B_s\to K^+K^-$; (c) the mix-induced CP
asymmetry in $B_d\to \pi^+ \pi^-$; and (d) the angle of $\beta$.

18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org