论文标题
$ b_c \ to j/ψ$衰减
Next-to-leading-logarithm $k_T$ resummation for $B_c\to J/ψ$ decays
论文作者
论文摘要
We derive the $k_T$ resummation for a transverse-momentum-dependent charmonium wave function, which involves the bottom quark mass $m_b$, the charm quark mass $m_c$, and the charm quark transverse momentum $k_T$, up to the next-to-leading-logarithm (NLL) accuracy under the hierarchy $m_b\gg m_c \gg k_T$.最终的Sudakov因子用于$ b_c \ to j/ψ$ transition form formation $ a_0^{b_c \ to j/ψ}（0）$和$ b_c^+ \ to j/ψπ^+ $衰减的方法中使用$ b_c \ to $ b_c \ to j/ψ$ transition formation $ a_0^{b_c \ to j/ψπ^+ $衰减。我们将NLL重新调整效果与文献中的领先阶层进行比较，并找到$（5-10）\％$ $增强到form y formation $ a_0^{b_c \ to j/ψ}（j/ψ}（0）$和$（10-20）\％$增强的decay速率$ $ nm br}（ j/ψπ^+）$。改进的$ k_t $重新召集形式主义适用于对其他Charmonia的重膜腐烂的PQCD分析。
We derive the $k_T$ resummation for a transverse-momentum-dependent charmonium wave function, which involves the bottom quark mass $m_b$, the charm quark mass $m_c$, and the charm quark transverse momentum $k_T$, up to the next-to-leading-logarithm (NLL) accuracy under the hierarchy $m_b\gg m_c \gg k_T$. The resultant Sudakov factor is employed in the perutrbative QCD (PQCD) approach to the $B_c\to J/ψ$ transition form factor $A_0^{B_c \to J/ψ}(0)$ and the $B_c^+ \to J/ψπ^+$ decay. We compare the NLL resummation effect on these processes with the leading-logarithm one in the literature, and find a $(5-10)\%$ enhancement to the form factor $A_0^{B_c \to J/ψ}(0)$ and a $(10-20)\%$ enhancement to the decay rate ${\rm BR}(B_c^+ \to J/ψπ^+)$. The improved $k_T$ resummation formalism is applicable to the PQCD analysis of heavy meson decays to other charmonia.
