arXiv 2303.098962023-03-17hep-thhep-ph

大半径紧致化方案中激发态Kaluza-Klein态的产生

On Production of Excited Kaluza-Klein States in Large Radius Compactification Scenario

Jnanadeva Maharana

DOI：: 10.1142/S0217751X23500598

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AI总结：

本文在大半径紧致化方案下，基于五维标量场理论与LSZ形式，推导了LHC中TeV质量级Kaluza-Klein态产生的非弹性与包容性截面界限，为ATLAS和CMS实验寻找奇异态提供参考。

摘要：

在大半径紧致化方案中，我们考虑了LHC上奇异态的产生。我们设想了一个五维平直时空中标量场的五维理论。它被紧致在一个半径为$R$的圆$S^1$上。假设该半径处于TeV能标，以迎合LRC假说。我们考虑了质量位于TeV范围附近的Kaluza-Klein态的产生。我们不依赖任何特定模型，而是从Lehmann-Symanzik-Zimmermann (LSZ) 形式推导出非弹性截面和近前向微分截面的界限。我们考虑了去紧致化理论，前提是紧致半径足够大，以在LHC能量尺度上揭示第五空间维度。我们也推导了该方案下的截面界限。我们给出了反应如$a+b\ ightarrow c+X$的包容性截面界限，其中X为未观测态。我们绘制了界限随能量的函数图，并提出这些界限可能对在ATLAS和CMS等LHC实验中寻找奇异态有用。

英文摘要：

Production of exotic states at LHC is considered in the large radius compactification scenario. We envisage a five dimensional theory for a scalar field in five dimensional flat spacetime. It is compactified on a circle, $S^1$, with radius, $R$. The radius is assumed to be in TeV scale appealing to LRC hypothesis. The production of Kaluza-Klein states whose masses lie in the vicinity of TeV range is considered. Instead of appealing to any specific model, bounds on inelastic cross sections and near forward differental cross section are derived from the Lehmann-Symanzik-Zimmermann (LSZ) formulation. We consider decompactified theory should compactification radius be large enough to unravel the fifth spacial dimension in LHC energy scale. Bounds on cross sections are also derived for this scenario. We present bounds on inclusive cross sections for reactions like $a+b\rightarrow c+X$, X being unobserved states. We plot the bounds as a function of energy and propose that these bounds might be useful for search of exotic states in LHC experiments like ATLAS and CMS.

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