利用B -> K^* mu^+ mu^-的P波和S波对称性
Exploiting the Symmetries of P and S wave for B --> K^* mu^+ mu^-
摘要:
在总结了四体衰变B --> K^*(--> K π)μ ^+ μ ^-的理论现状之后,我们将自旋对称性的形式化应用于全角分布,包括涉及宽标量共振K 0 ^* 的S波部分。当我们在P波扇区恢复角观测量Pi(')之间的已知关系时,我们在S波扇区发现两个新的关系,它们连接S波角分布的系数,并将独立的S波观测量的数量从6个减少到4个。将这些关系纳入到实验数据分析中,有助于减少S波污染的背景。我们进一步指出,作为一个魅力环不敏感探针的右手电流的角可观测P2的最大值的判别能力。此外,我们还证明了在没有右手电流的情况下,角观测量P4'和P5'在P2达到最大值的位置满足关系P4' = betaP 5'。
英文摘要:
After summarizing the current theoretical status of the four-body decay B --> K^*(--> K pi) mu^+ mu^-, we apply the formalism of spin-symmetries to the full angular distribution, including the S-wave part involving a broad scalar resonance K0^*. While we recover in the P-wave sector the known relation between the angular observables Pi('), we find in the S-wave sector two new relations connecting the coefficients of the S-wave angular distribution and reducing the number of independent S-wave observables from six to four. Included in the experimental data analysis, these relations can help to reduce the background from S-wave pollution. We further point out the discriminative power of the maximum of the angular observable P2 as a charm-loop insensitive probe of right-handed currents. Moreover, we show that in absence of right-handed currents the angular observables P4' and P5' fulfill the relation P4' = beta P5' at the position where P2 reaches its maximum.
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