寻找$B^+ \to K^+ μ^+μ^-$双μ子谱上的$B^+\to K^+ τ^+τ^-$印记
Hunting for $B^+\to K^+ τ^+τ^-$ imprints on the $B^+ \to K^+ μ^+μ^-$ dimuon spectrum
摘要：
我们调查的可能性，间接约束的$B^{+}\to K^{+}τ^+τ^-$衰变率使用精确的数据对$B^{+}\to K^{+}μ^+μ^-$双μ子谱。为此，我们估计的$B^{+}\to K^{+}τ^+τ^-\to K^{+} μ^+μ^-$再散射过程引起的频谱的失真，并提出了一种方法，同时限制这种（非标准）的贡献和长距离的影响与强子中间态。后者的约束使用的振幅与数据和微扰计算相结合的分析特性。最后，我们估计在LHCb实验与目前和未来的数据集的敏感性。我们发现，$O(10^{-3})$的分支分数的限制，竞争与当前的直接界限，可以实现与当前的数据集，而$O(10^{-4})$的界限，可以得到与LHCb超光速II光度。
英文摘要：
We investigate the possibility of indirectly constraining the $B^{+}\to K^{+}τ^+τ^-$ decay rate using precise data on the $B^{+}\to K^{+}μ^+μ^-$ dimuon spectrum. To this end, we estimate the distortion of the spectrum induced by the $B^{+}\to K^{+}τ^+τ^-\to K^{+} μ^+μ^-$ re-scattering process, and propose a method to simultaneously constrain this (non-standard) contribution and the long-distance effects associated to hadronic intermediate states. The latter are constrained using the analytic properties of the amplitude combined with data and perturbative calculations. Finally, we estimate the sensitivity expected at the LHCb experiment with present and future datasets. We find that constraints on the branching fraction of $O(10^{-3})$, competitive with current direct bounds, can be achieved with the current dataset, while bounds of $O(10^{-4})$ could be obtained with the LHCb upgrade-II luminosity.
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