重新访问与$B^{0} \to D^{*-} \ell^{+} ν_{\ell}$的拟合,以使用新方法和非零反冲时的初步LQCD数据测量$|V_{cb}|$
Revisiting fits to $B^{0} \to D^{*-} \ell^{+} ν_{\ell}$ to measure $|V_{cb}|$ with novel methods and preliminary LQCD data at non-zero recoil
摘要:
我们提出了一个研究适合独家$B^{0} \to D^{*-} \ell^{+} ν_{\ell}$测量的Cabbibo-Kobayashi-Maskawa矩阵元素的大小$|V_{cb}|$的测定,根据最近的Belle未标记的测量。得到的结果与Caprini-Lellouch-Neubert(CLN)和Boean-Grinstein-Lebed(BGL)的形状因子参数化,包括和不包括初步的晶格QCD测量的形状因子在非零强子反冲从JLQCD合作。CLN和BGL拟合还研究了在不同的情况下,减少理论假设,并在高阶扩展,分别。为了避免高系统误差相关性的偏差,我们采用了一种新的技术领域的$B$ -物理现象学与玩具MC使用Cholesky分解的协方差矩阵。与JLQCD合作,使用非零反冲时形状因子的晶格QCD计算的额外输入,可以获得定义良好的拟合结果,同时减少CLN和BGL中的模型依赖性。得到的结果是一致的不同的配置之间,最终提供了一种方法,一个更独立的模型的排他性测量$|V_{cb}|$。使用初步输入,发现$\mathcal{F}(1)η_{\rm EW}|V_{cb}|$在BGL(2,2,2)中近似为$(35.02 \pm 0.29 \pm 0.88) \times 10^{-3}$,在CLNnoHQS中近似为$(34.96 \pm 0.32 \pm 0.96) \times 10^{-3}$。
英文摘要:
We present a study of fits to exclusive $B^{0} \to D^{*-} \ell^{+} ν_{\ell}$ measurements for the determination of the Cabbibo-Kobayashi-Maskawa matrix element magnitude $|V_{cb}|$, based on the most recent Belle untagged measurement. Results are obtained with the Caprini-Lellouch-Neubert (CLN) and Boyd-Grinstein-Lebed (BGL) form factor parametrizations, with and without the inclusion of preliminary Lattice QCD measurements of form factors at non-zero hadronic recoil from the JLQCD collaboration. The CLN and BGL fits are also studied in different scenarios with reduced theoretical assumptions, and at higher order expansions, respectively. To avoid bias from high systematic error correlations we employ a novel technique in the field of $B$-physics phenomenology with a toy MC using a Cholesky decomposition of the covariance matrix. Using additional input from Lattice QCD calculations of form factors at non-zero recoil, in collaboration with JLQCD, allows for well-defined fit results with reduced model dependence in CLN and BGL. The results obtained are consistent between different configurations, ultimately providing a method for a more model-independent exclusive measurement of $|V_{cb}|$. Using preliminary inputs, $\mathcal{F}(1)η_{\rm EW}|V_{cb}|$ is found to be approximately $(35.02 \pm 0.29 \pm 0.88) \times 10^{-3}$ in BGL(2,2,2) and $(34.96 \pm 0.32 \pm 0.96) \times 10^{-3}$ in CLNnoHQS.
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