论文标题
第三一目的是$ b \ to x_c \ellν$在三阶
A first glance to the kinematic moments of $B \to X_c \ell ν$ at third order
论文作者
论文摘要
我们研究了三阶QCD校正在包含半抑制$ b $衰减的几个运动瞬间的影响，以$ 1/m_b $扩展为第一阶。我们考虑了带电的lepton Energy $ e_ \ ell $ spectrum的前四个时刻，整体麻烦不变的质量$ q^2 $和HADRONIC不变质量$ m_x^2 $。没有实验性切割。我们的分析结果是通过围绕限制$ m_b \ simeq m_c $的渐近扩展获得的。将底部质量的方案转换为动力学方案后，我们将较高QCD校正的大小与$ 1/m_b^2 $和$ 1/m_b^3 $功率更正和相对不确定性的贡献进行了比较。
We study the impact of third-order QCD corrections for several kinematic moments of the inclusive semileptonic $B$ decays, to first order in the $1/m_b$ expansion. We consider the first four moments of the charged-lepton energy $E_\ell$ spectrum, the total leptonic invariant mass $q^2$ and the hadronic invariant mass $M_X^2$. No experimental cuts are applied. Our analytic results are obtained via an asymptotic expansion around the limit $m_b \simeq m_c$. After converting the scheme for the bottom mass to the kinetic scheme we compare the size of higher QCD corrections to the contributions from $1/m_b^2$ and $1/m_b^3$ power corrections and to the relative uncertainties.
