论文标题
重新访问$ D $ -Meson Twist-2，3个分配幅度
Revisiting $D$-meson twist-2, 3 distribution amplitudes
论文作者
论文摘要
由于实验测量值和标准模型的理论预测之间存在显着差异，因此对于半衰减衰减的$ \ Mathcal {r}（d）$的价值，$ b \ to d \ ell \ ell \ ell \barν_{\ ell} $，人们可能会证明它可能是新物理学以外的新物理学的证据。 Usually, the $D$-meson twist-2, 3 distribution amplitudes (DAs) $ϕ_{2;D}(x,μ)$, $ϕ_{3;D}^p(x,μ)$ and $ϕ_{3;D}^σ(x,μ)$ are the main error sources when using perturbative QCD factorization and light-cone QCD sum rules to study $B\to d \ ell \barν_ {\ ell} $。因此，重要的是要获得这些DA的更合理和准确的行为。由我们以前的工作[物理学。 Rev. D 104，第1号，016021（2021）]在开创性领先的twist da上，我们重新访问$ d $ -Meson twist-2，3 das $ ϕ_ {2; d}; d}（x，μ）$，$ ϕ__ {3; d; d; d}; d; d}^p（x，x，x，μ）$ and $ and $ d（x，us）建议为这三个DA的$ξ$ - 大小写的新总规则公式获得更准确的值。这些DAS的轻锥谐波振荡器模型得到了改进，其模型参数是通过将$ξ$ - amoments拟合的值与最小二乘方法拟合的值来确定的。
Due to the significant difference between the experimental measurements and the theoretical predictions of standard model (SM) for the value of $\mathcal{R}(D)$ of the semileptonic decay $B\to D\ell\barν_{\ell}$, people speculate that it may be the evidence of new physics beyond the SM. Usually, the $D$-meson twist-2, 3 distribution amplitudes (DAs) $ϕ_{2;D}(x,μ)$, $ϕ_{3;D}^p(x,μ)$ and $ϕ_{3;D}^σ(x,μ)$ are the main error sources when using perturbative QCD factorization and light-cone QCD sum rules to study $B\to D\ell\barν_{\ell}$. Therefore, it is important to get more reasonable and accurate behaviors for those DAs. Motivated by our previous work [Phys. Rev. D 104, no.1, 016021 (2021)] on pionic leading-twist DA, we revisit $D$-meson twist-2, 3 DAs $ϕ_{2;D}(x,μ)$, $ϕ_{3;D}^p(x,μ)$ and $ϕ_{3;D}^σ(x,μ)$. New sum rules formulae for the $ξ$-moments of these three DAs are suggested to obtain more accurate values. The light-cone harmonic oscillator models for those DAs are improved, and whose model parameters are determined by fitting the values of $ξ$-moments with the least squares method.
