论文标题
在nnlo+nnll的Randall-Sundrum模型中重新定义的包含横截面
Resummed inclusive cross-section in Randall-Sundrum model at NNLO+NNLL
论文作者
论文摘要
已经研究了完整的近临界领先顺序（NNLO）QCD校正，已研究到Randall-Sundrum（RS）框架内的Di-Lepton不变质量分布。此外，已经提出了近隔至接头订单（n $^3 $ lo）的软性（SV）横截面，以及阈值重新点亮到近代到隔离对数（NNLL）级别。 SV生产的分析系数最近获得了最多三个循环，以及执行重新召集所需的过程依赖性系数。这些系数对于任何通用自旋2模型都是通用的，其中自旋2粒子夫妇以相等的强度与标准模型（SM）颗粒。我们在RS模型中使用这些系数预测N $^3 $ LO SV结果以及匹配的NNLO+NNLL结果，用于DRELL-YAN（DY）生产的不变质量分布。我们进行了详细的现象学分析，并对大型强子对撞机（LHC）的13个TEV质量中心能量进行了预测，以搜索这种RS Kaluza-Klein（KK）共振。 NNLO横截面为近代订单（NLO）结果增加了约21美元\％$校正。我们发现，n $^3 $ lo订单的SV校正将横截面降低了$ 0.7 \％$ $，接近第一个KK共振（$ M_1 = 1500 $ GEV），而重新定义的结果显示，NNLO的增量增加了$ 7 \％$ $ $ $。我们进行了详细的分析，包括量表变化和Parton分布函数（PDF）变化。这些新结果为严格限制模型的参数提供了一个机会，尤其是在LHC处搜索重型SPIN-2共振时。
The complete next-to-next-to leading order (NNLO) QCD correction has been studied to the di-lepton invariant mass distribution within the Randall-Sundrum (RS) framework. In addition, the soft-virtual (SV) cross-section at next-to-next-to-next-to leading order (N$^3$LO) as well as threshold resummation to next-to-next-to leading logarithms (NNLL) level have been presented. The analytical coefficient for SV production has been obtained up to three loops very recently along with the process-dependent coefficients needed to perform resummation up to NNLL. These coefficients are universal for any universal spin-2 model where spin-2 particle couples to the Standard Model (SM) particles with equal strength. We use these coefficients in predicting N$^3$LO SV results as well as matched NNLO+NNLL results for invariant mass distribution for Drell-Yan (DY) production in RS model. We performed a detailed phenomenological analysis and present prediction for the 13 TeV centre-of-mass energy at the Large Hadron Collider (LHC) for the search of such RS Kaluza-Klein (KK) resonances. The NNLO cross-section adds about $21\%$ correction to the next-to-leading order (NLO) results. We found that the SV correction at the N$^3$LO order decreases the cross-section by $0.7\%$ near the first KK resonance ($M_1=1500$ GeV) whereas the resummed result shows an increment over NNLO by $7\%$ of LO. We performed a detailed analysis including scale variation and parton distribution function (PDF) variations. These new results provide an opportunity to stringently constrain the parameters of the model in particular in the search of heavy spin-2 resonances at the LHC.
