Search for B_{s}^{0}->hh Decays at the $\Upsilon(5S)$ Resonance

M. Morello et al

2007

Cited alongside, same era.

A. Drutskoy et al

2007

Cited alongside, same era.

The inclusion of charge-conjugate modes is implied throughout this paper unless explicitly stated

Cited in the paper.

The cross section ( σ \sigma ) of light quark pair production, e + ​ e − → q ​ q ¯ e^{+}e^{-}\to q\bar{q} , is estimated using the leading-order calculation, σ = N c ​ Q f 2 ​ 4 ​ π ​ α 2 3 ​ s ​ β ​ [ 1 + 1 − β 2 2 ] \sigma=\frac{N_{c}Q_{f}^{2}4\pi\alpha^{2}}{3s}\beta[1+\frac{1-\beta^{2}}{2}] , where N c N_{c} is the number of colors, Q f Q_{f} is the charge of the quark, α \alpha is the fine structure constant, s s is the total enegy squared, and β \beta is velocity of the quark in the center of mass frame divided by the speed of light. The value of 2.446 nb is the cross section sum for the four light quark pairs

Cited in the paper.

For the ℛ \cal{R} selection, we use a value close to the CDF measurement [ 12 ] for ℬ ⁡ ( B s 0 → K + ​ K − ) {\mathcal{B}}(B^{0}_{s}\to K^{+}K^{-}) . For B s 0 → K − ​ π + B_{s}^{0}\to K^{-}\pi^{+} and B s 0 → K 0 ​ K ¯ 0 B^{0}_{s}\to K^{0}\bar{K}^{0} , we naively assume that by replacing a spectator s s quark with a d d quark we should obtain branching fractions similar to those of B d 0 → π + ​ π − B^{0}_{d}\to\pi^{+}\pi^{-} and B d 0 → K 0 ​ π 0 B^{0}_{d}\to K^{0}\pi^{0} , respectively. The decay B s 0 → π + ​ π − B^{0}_{s}\to\pi^{+}\pi^{-} is Okubo-Zweig-Iizuka suppressed and the branching fraction should be one to two orders of magnitude smaller than that of the other three modes. We also compared our assumed values for the four decay modes with theoretical predictions, given in H.-Y. Cheng and C.-K. Chua, Phys. Rev. D 80

Cited in the paper.

A. Drutskoy et al. (Belle Collaboration) Phys. Rev D 81

2010

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