论文标题

$ b \ rightarrowcτν$衰减模式中的关系

Relations between $b\rightarrow cτν$ Decay Modes in Scalar Models

论文作者

Schacht, Stefan, Soni, Amarjit

论文摘要

由于HADRONIC矩阵元素的病房身份,我们发现半衰减模式的差异衰减速率与基础夸克级过渡$ b \ rightarrowcτν$之间的关系,这在标量模型中是有效的。衰减模式依赖性标量形式是该关系的唯一必要的理论成分。否则,它们将可测量的衰减速率与Lepton对$ q^2 $不变的质量方相结合,以使vector to vot to vector和pseudoscalar介子分别找到通用衰减模式的函数。这可以应用于衰减$ b \ rightarrow d^{*}τν$,$ b_s \ rightarrow d_s^*τν$,$ b_c \ rightArrow j/c \ rightArrow j/ψτν$和$ b \ rightArrowdτν$ $ r(d^{(*)})$,$ r(d_s^{(*)})$,$ r(j/ψ)$,$ r(η_c)$和$ \ atmathcal {b}(b_c \ rightarrowτν)$。特征性$ q^2 $依赖性的斜率和曲率与标量新物理参数成正比,促进了它们的直截了当的提取,与全球拟合互补。

As a consequence of the Ward identity for hadronic matrix elements, we find relations between the differential decay rates of semileptonic decay modes with the underlying quark-level transition $b\rightarrow cτν$, which are valid in scalar models. The decay-mode dependent scalar form factor is the only necessary theoretical ingredient for the relations. Otherwise, they combine measurable decay rates as a function of the invariant mass-squared of the lepton pair $q^2$ in such a way that a universal decay-mode independent function is found for decays to vector and pseudoscalar mesons, respectively. This can be applied to the decays $B\rightarrow D^{*}τν$, $B_s\rightarrow D_s^*τν$, $B_c\rightarrow J/ψτν$ and $B\rightarrow Dτν$, $B_s\rightarrow D_sτν$, $B_c\rightarrow η_cτν$, with implications for $R(D^{(*)})$, $R(D_s^{(*)})$, $R(J/ψ)$, $R(η_c)$, and $\mathcal{B}(B_c\rightarrow τν)$. The slope and curvature of the characteristic $q^2$-dependence is proportional to scalar new physics parameters, facilitating their straight forward extraction, complementary to global fits.

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