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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク transverse mass ： ウィキペディア英語版 transverse mass The transverse mass is a useful quantity to define for use in particle physics as it is invariant under Lorentz boost along the z direction. In natural units it is: ::$m\_^2\; =\; m^2\; +\; p\_^2\; +\; p\_^2\; \backslash ,$ :where the z-direction is along the beam pipe and so :$p\_x$ and $p\_y$ are the momentum perpendicular to the beam pipe and :$m$ is the (invariant) mass. Hadron collider physicists use another definition of transverse mass, in the case of a decay into two particles. This is often used when one particle cannot be detected directly but is only indicated by missing transverse energy. In that case, the total energy is unknown and the above definition cannot be used. ::$M\_^2\; =\; (E\_\; +\; E\_)^2\; -\; (\backslash overrightarrow\_\; +\; \backslash overrightarrow\_)^2$ :where $E\_$ is the transverse energy of each daughter, a positive quantity defined using its true invariant mass $m$ as: ::$E\_^2\; =\; m^2\; +\; (\backslash overrightarrow\_)^2$ So equivalently, ::$M\_^2\; =\; m\_1^2\; +\; m\_2^2\; +\; 2\; \backslash left(E\_\; E\_\; -\; \backslash overrightarrow\_\; \backslash cdot\; \backslash overrightarrow\_\; \backslash right)$ For massless daughters, where $m\_1\; =\; m\_2\; =\; 0$, the transverse energy simplifies to $E\_\; =\; |\; \backslash overrightarrow\_T\; |$, and the transverse mass becomes ::$M\_^2\; \backslash rightarrow\; 2\; E\_\; E\_\; \backslash left(\; 1\; -\; \backslash cos\; \backslash phi\; \backslash right)$ :where $\backslash phi$ is the angle between the daughters in the transverse plane: A distribution of $M\_T$ has an end-point at the true mother mass: $M\_T\; \backslash leq\; M$. This has been used to determine the $W$ mass at the Tevatron. ==References== * - See sections 38.5.2 ($m\_$) and 38.6.1 ($M\_$) for definitions of transverse mass. * - See sections 43.5.2 ($m\_$) and 43.6.1 ($M\_$) for definitions of transverse mass. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「transverse mass」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.