"Table 435" of "Differential $t\bar{t}$ cross-section measurements using boosted top quarks in the all-hadronic final state with 139 fb$^{-1}$ of ATLAS data"

Measurements of single-, double-, and triple-differential cross-sections are presented for boosted top-quark pair-production in 13 TeV proton--proton collisions recorded by the ATLAS detector at the LHC. The top quarks are observed through their hadronic decay and reconstructed as large-radius jets with the leading jet having transverse momentum ($p_{\rm T}$) greater than 500 GeV. The observed data are unfolded to remove detector effects. The particle-level cross-section, multiplied by the $t\bar{t}\rightarrow WWb\bar{b}$ branching fraction and measured in a fiducial phase space defined by requiring the leading and second-leading jets to have $p_{\rm T}$ > 500 GeV and $p_{\rm T}$ > 350 GeV, respectively, is $331 \pm 3 \rm{(stat.)} \pm 39 \rm{(syst.)}$ fb. This is approximately 20% lower than the prediction of $398^{+48}_{-49}$ fb by POWHEG+PYTHIA8 with next-to-leading-order (NLO) accuracy but consistent within the theoretical uncertainties. Results are also presented at the parton level, where the effects of top-quark decay, parton showering, and hadronization are removed such that they can be compared with fixed-order next-to-next-to-leading-order (NNLO) calculations. The parton-level cross-section, measured in a fiducial phase space similar to that at particle level, is $1.94 \pm 0.02 \rm{(stat.)} \pm 0.25 \rm{(syst.)}$ pb. This agrees with the NNLO prediction of $1.96^{+0.02}_{-0.17}$ pb. Reasonable agreement with the differential cross-sections is found for most NLO models, while the NNLO calculations are generally in better agreement with the data. The differential cross-sections are interpreted using a Standard Model effective field-theory formalism and limits are set on Wilson coefficients of several four-fermion operators.

本文报道了大型强子对撞机（Large Hadron Collider, LHC）上ATLAS探测器（ATLAS detector）采集的13 TeV质子-质子碰撞数据中，高横动量顶夸克对产生过程的单微分、双微分与三微分截面测量结果。顶夸克通过强子衰变（hadronic decay）被观测，并被重建为大半径喷注（large-radius jets），其中领头喷注的横向动量（transverse momentum, $p_{
m T}$）大于500 GeV。观测数据经过解卷校正以消除探测器效应的影响。在由领头喷注与次领头喷注的横向动量分别大于500 GeV、350 GeV所定义的fiducial相空间（fiducial phase space）内，粒子层次（particle-level）截面乘以$tar{t}
ightarrow WWbar{b}$的分支比（branching fraction）后，测量结果为$331 pm 3
m{(统计不确定度)} pm 39
m{(系统不确定度)}$ 飞母托靶恩（fb）。该结果较POWHEG+PYTHIA8给出的次领头阶（next-to-leading-order, NLO）预言值$398^{+48}_{-49}$ fb低约20%，但在理论不确定度范围内与预言值相符。本文同时给出了部分子层次（parton level）的测量结果：该层次移除了顶夸克衰变、部分子喷注演化（parton showering）与强子化（hadronization）效应，以便与固定阶次次领头阶（next-to-next-to-leading-order, NNLO）计算结果进行对比。在与粒子层次相似的fiducial相空间内测得的部分子层次截面为$1.94 pm 0.02
m{(统计不确定度)} pm 0.25
m{(系统不确定度)}$ 皮靶恩（pb）。该结果与$1.96^{+0.02}_{-0.17}$ pb的次次领头阶预言值相符。多数次领头阶模型与微分截面结果的符合度尚可，而次次领头阶计算结果通常与实验数据符合得更好。本文采用标准模型有效场论（Standard Model effective field theory）形式对微分截面进行了物理解释，并对多个四费米子算符（four-fermion operators）的威尔逊系数（Wilson coefficients）设定了约束极限。