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arXiv 1003.3929hep-phhep-ex
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微扰QCD方法研究无粲强子$B_c \to VA, AA$衰变

Charmless hadronic $B_c \to VA, AA$ decays in the perturbative QCD approach

Xin Liu, Zhen-Jun Xiao

摘要:

在微扰QCD(pQCD)方法框架下,我们系统地计算了62个无粲二体$B_c$介子衰变到包含一个矢量和一个轴矢量介子($VA$)或两个轴矢量介子($AA$)的末态的分支比(BR)和极化分数,其中$A$是$^3P_1$或$^1P_1$轴矢量介子.所有考虑的衰变通道只能通过标准模型中的湮灭拓扑发生。通过微扰计算和唯象分析,我们发现:(i)所考虑的62个$B_c$衰变的CP平均BR在$10^{-5}$到$10^{-9}$的范围内,(ii)由于$^1P_1$介子的行为与$^3P_1$介子的行为有很大的不同,在pQCD方法中,$B_c \to A(^1P_1) (V, A(^1P_1))$衰变的BR一般大于$B_c \to A(^3P_1) (V, A(^3P_1))$衰变的BR;(iii)许多被考虑的衰变模式,如$B_c\to a_1(1260)^+ ω$,$b_1(1235) ρ$等,在LHCb实验的范围内具有相当大的BR;(iv)大多数被考虑的衰变的纵向极化分数都很大,起着主导作用;(v)pQCD对涉及$^3P_1$和/或$^1P_1$介子对混合角的值高度敏感,这将通过正在进行的LHC和即将进行的Super-B实验进行测试;(vi)这些考虑的$B_c$衰变的CP破坏不对称性在标准模型中不存在,因为只涉及一个类型树算子。

英文摘要:

In this work, we calculate the branching ratios (BRs) and the polarization fractions of sixty two charmless two-body $B_c$ meson decays into final states involving one vector and one axial-vector meson ($VA$) or two axial-vector mesons($AA$) within the framework of perturbative QCD (pQCD) approach systematically, where $A$ is either a $^3P_1$ or $^1P_1$ axial-vector meson. All considered decay channels can only occur through the annihilation topologies in the standard model. Based on the perturbative calculations and phenomenological analysis, we find the following results: (i) the CP-averaged BRs of the considered sixty two $B_c$ decays are in the range of $10^{-5}$ to $10^{-9}$; (ii) since the behavior for $^1P_1$ meson is much different from that of $^3P_1$ meson, the BRs of $B_c \to A(^1P_1) (V, A(^1P_1))$ decays are generally larger than that of $B_c \to A(^3P_1) (V, A(^3P_1))$ decays in the pQCD approach; (iii) many considered decays modes, such as $B_c\to a_1(1260)^+ ω$, $b_1(1235) ρ$, etc, have sizable BRs within the reach of the LHCb experiments; (iv) the longitudinal polarization fractions of most considered decays are large and play the dominant role; (v) the pQCD predictions for several decays involving mixtures of $^3P_1$ and/or $^1P_1$ mesons are highly sensitive to the values of the mixing angles, which will be tested by the ongoing LHC and forthcoming Super-B experiments; (vi) the CP-violating asymmetries of these considered $B_c$ decays are absent in the standard model because only one type tree operator is involved.

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