论文标题
电动射击高能工艺中的MUON喷气对的n jettiness
N-jettiness for muon jet pairs in electroweak high-energy processes
论文作者
论文摘要
我们研究了Electroweak高能过程中的$ n $ - jettiness，$ e^ - e^ - e^+ \rightarrowμ^+ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \μ^ - \ mathrm {Jet} $。与QCD相比，主要区别在于，弱相互作用中存在额外的非语言贡献，从而使分解更加详尽。尤其是由于电动过程中的障碍违规而产生的非单词贡献，这产生了Sudakov对数和速度差异。他们在$ n $ jettiness中大大改变了分解零件的演变。有两个可能的渠道，从仪表玻色子$ w w \ rightarrow \ell_μ\ edline {\ ell}_μ$，以及电子$ \ ell_e \ edelline {\ ell} _e \ ell} _e \ rightArrow \ rightArrow \ rightArrow \ell_μμ\ell_μ\ eliflline \ edline {\ ell} {\ ell} _ $，n $ $ de n $ deflut $ de n $ deflout $ deflout $ deft und。后者之前是讨论的，我们通过研究第一个来完成分析。 $ W w \ rightarrow \ell_μ\的分解可以以类似于$ \ ell_e \ eell_e \ overline {\ ell} _e \ rightArrow \ rightArrow \elir_μμ\Ell_μ\ edline {edline {\ elline Line {\ ellline {\ elly}_μ$的分解的方式进行。这项研究中的新成分包括$ W $ beam的功能，以及软功能和硬函数的复杂颜色结构。大对数的重新召集是通过求解重新归一化量表和速度量表的重新归一化组方程来执行的。在数值分析中，我们局限于SU（2）弱仪相互作用，并且在近代领导的岩石精确度（包括单元和非单词贡献）的两个通道中给出了数值结果。非文明的贡献在两种杰特方面是可观的。
We study the $N$-jettiness in the electroweak high-energy process for the final muon jet pairs, $e^- e^+ \rightarrow μ^+ \ \mathrm{jet} + μ^- \mathrm{jet}$. Compared to QCD, the main difference is that there exist additional gauge nonsinglet contributions in the weak interaction, which make the factorization more elaborate. Especially the nonsinglet contributions arise due to the Block-Nordsieck violation in electroweak processes, which yields the Sudakov logarithms and the rapidity divergence. They change the evolution of the factorized parts considerably in the $N$-jettiness. There are two possible channels, initiated from the gauge bosons $W W \rightarrow \ell_μ \overline{\ell}_μ$, and from the electrons $\ell_e \overline{\ell}_e \rightarrow \ell_μ \overline{\ell}_μ$, where $\ell$ denotes the weak doublet. The latter was discussed previously, and we complete the analysis by studying the first. The factorization for $W W \rightarrow \ell_μ \overline{\ell}_μ$ can be proceeded in a similar way as in the factorization for $\ell_e\overline{\ell}_e \rightarrow \ell_μ \overline{\ell}_μ$, and the result exhibits a rich structure. The new ingredients in this study consist of the $W$ beam functions, and the complex color structure of the soft functions and the hard functions. The resummation of the large logarithms is performed by solving the renormalization group equations with respect to the renormalization scale and the rapidity scale. In the numerical analysis, we confine to the SU(2) weak gauge interaction, and the numerical results are presented for both channels at next-to-leading-logarithmic accuracy including the singlet and the nonsinglet contributions. The nonsinglet contributions turn out to be appreciable in the 2-jettiness.
