$B \to X_c \ell ν$的三阶运动矩初探
A first glance to the kinematic moments of $B \to X_c \ell ν$ at third order
摘要:
我们研究了包含半轻子$B$衰变的几个运动学矩的三阶QCD修正的影响,在$1/m_b$展开的一阶。我们考虑了带电轻子能量$E_\ell$谱的前四阶矩、轻子不变总质量$q^2$和强子不变质量$M_X^2$。没有实验性的削减。我们的分析结果是通过在极限$m_b \simeq m_c$附近的渐近展开得到的。在转换方案的底部质量的动力学方案,我们比较的大小更高的QCD修正的贡献,从$1/m_b^2$和$1/m_b^3$功率修正和相对的不确定性。
英文摘要:
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.
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