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arXiv 2004.03938hep-phhep-ex
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Randall-Sundrum模型在NNLO + NNLL处的恢复包含截面

Resummed inclusive cross-section in Randall-Sundrum model at NNLO+NNLL

Goutam Das, M. C. Kumar, Kajal Samanta

摘要:

在Randall-Sundrum(RS)框架下研究了对双轻子不变质量分布的完全次主导阶(NNLO)QCD修正。此外,还给出了次-领先阶数(N $^3$ LO)的软虚(SV)截面和次-次-领先阶数(NNLL)的阈值重算。SV生产的分析系数最近已经获得了三个循环,以及执行重新计算至NNLL所需的工艺相关系数。这些系数对于任何通用的自旋2模型都是通用的,其中自旋2粒子以相等的强度耦合到标准模型(SM)粒子。我们利用这些系数预测了RS模型中Drell-Yan(DY)产生的N $^3$ LO SV结果以及匹配的NNLO+NNLL不变质量分布结果。我们进行了详细的唯象分析和预测的13 TeV的质心能量在大型强子对撞机(LHC)的搜索这样的RS卡鲁扎-克莱因(KK)共振。NNLO截面对次首阶(NLO)结果增加了约$21\%$校正。我们发现,在$^3$ LO级的SV修正减小了在第一个KK共振($M_1=1500$ GeV)附近的$0.7\%$的截面,而计算结果表明,在NNLO上增加了LO的$7\%$.我们进行了详细的分析,包括尺度变化和部分子分布函数(PDF)的变化。这些新的结果提供了一个机会,特别是在大型强子对撞机的重自旋-2共振的搜索严格约束的模型参数。

英文摘要:

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.

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