"Table 25" of "Study of Hadronic Event-Shape Variables in Multijet Final States in pp Collisions at $\sqrt{s}$ = 7 TeV"

CERN-LHC. Event-shape variables, which are sensitive to perturbative and nonperturbative aspects of quantum chromodynamic (QCD) interactions, are studied in multijet events recorded in proton-proton collisions at $\sqrt{s}=7$ TeV. Events are selected with at least one jet with transverse momentum $p_T > 110$ GeV and pseudorapidity $\mid\eta\mid < 2.4$, in a data sample corresponding to integrated luminosities of up to $5 fb^{-1}$. The distributions of five event-shape variables in various leading jet $p_T$ ranges are compared to predictions from different QCD Monte Carlo event generators. Five event-shape variables are analyzed in this paper: the transverse thrust $\tau_{\perp}$, the total jet broadening $B_{tot}$, the total jet mass $\rho_{tot}$, the total transverse jet mass $\rho^T_{tot}$ and the third-jet resolution parameter $Y_{23}$. In the formulae below, $p_{T,i}$, $\eta_i$, and $\phi_i$ represent the transverse momentum, pseudorapidity, and azimuthal angle of the $i$th jet, and $\hat{n}_{T}$ is the unit vector that maximizes the sum of the projections of $\vec{p}_{T,i}$. The transverse thrust axis $\hat{n}_{T}$ and the beam form the so-called event plane. Based on the direction of $\hat{n}_{T}$, the transverse region is separated into an upper side $\cal{C}_U$, consisting of all jets with $\vec{p}_{T}\cdot\hat{n}_{T}$ $>$ 0, and a lower side $\cal{C}_L$, with $\vec{p}_{T}\cdot\hat{n}_{T}$ $CERN-LHC。针对对量子色动力学（quantum chromodynamic, QCD）相互作用的微扰与非微扰性质敏感的事件形状变量，本研究针对质心系能量$sqrt{s}=7$ TeV的质子-质子碰撞中记录的多喷注事件展开分析。实验选取了至少包含一个横向动量$p_T > 110$ GeV、赝快度$|eta| < 2.4$的喷注的事件，所用数据样本的积分亮度最高可达$5 mathrm{fb^{-1}}$。将五种事件形状变量在不同领头喷注$p_T$区间内的分布，与不同QCD蒙特卡洛事件产生器的理论预言结果进行对比。 本文共分析五种事件形状变量：横向推力$ au_{perp}$、总喷注展宽$B_{mathrm{tot}}$、总喷注质量$ ho_{mathrm{tot}}$、总横向喷注质量$ ho^T_{mathrm{tot}}$，以及第三喷注分辨参数$Y_{23}$。 在下述公式中，$p_{T,i}$、$eta_i$和$phi_i$分别代表第$i$个喷注的横向动量、赝快度与方位角，$hat{n}_T$为使$vec{p}_{T,i}$的投影之和最大化的单位矢量。横向推力轴$hat{n}_T$与束流共同构成所谓的事件平面。依据$hat{n}_T$的方向，横向区域被划分为上半区域$cal{C}_U$与下半区域$cal{C}_L$：前者包含所有满足$vec{p}_{T}·hat{n}_T > 0$的喷注，后者则对应$vec{p}_{T}·hat{n}_T$