Search for $B_c(ns)$ via the $B_c(ns)\to B_c(ms)π^+π^-$ transition at LHCb and $Z_0$ factory

Details Search for $B_c(ns)$ via the $B_c(ns)\to B_c(ms)π^+π^-$ transition at LHCb and $Z_0$ factory Search for $B_c(ns)$ via the $B_c(ns)\to B_c(ms)π^+π^-$ transition at LHCb and $Z_0$ factory

2009-10-07

arxiv.org/abs/0910.1158v2

Sci. China G53:2019-2024,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 1 figures and 4 tables, acceptted by SCIENCE CHINA Physics, Mechanics & Astronomy (Science in China Series G)

Scientific paper

10.1007/s11433-010-4145-4

It is interesting to study the characteristics of the whole family of $B_c$ which contains two different heavy flavors. LHC and the proposed $Z^0$ factory provide an opportunity because a large database on the $B_c$ family will be achieved. $B_c$ and its excited states can be identified via their decay modes. As suggested by experimentalists, $B_c^*(ns)\to B_c+\gamma$ is not easy to be clearly measured, instead, the trajectories of $\pi^+$ and $\pi^-$ occurring in the decay of $B_c(ns)\to B_c(ms)+\pi^+\pi^-$ ($n>m$) can be unambiguously identified, thus the measurement seems easier and more reliable, therefore this mode is more favorable at early running stage of LHCb and the proposed $Z^0$ factory. In this work, we calculate the rate of $B_c(ns)\to B_c(ms)+\pi^+\pi^-$ in terms of the QCD multipole-expansion and the numerical results indicate that the experimental measurements with the luminosity of LHC and $Z^0$ factory are feasible.

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