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arXiv 2302.01247hep-thgr-qchep-ph
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关于有质量引力微子散射振幅与新 Fayet-Iliopoulos 项幺正截断的进一步研究

More on massive gravitino scattering amplitudes and the unitarity cutoff of the new Fayet-Iliopoulos terms

Ignatios Antoniadis, Jules Cunat, Anthony Guillen

AI总结:

本文将引力微子散射振幅推广到含一个手征多重态和一个矢量多重态的任意 N=1 超引力模型,证明领头项抵消源于平坦背景下标量势极小值为零,并发现新 Fayet-Iliopoulos 项通常使微扰幺正截断降至超对称破缺标度,仅在特殊情形下可推高至普朗克标度。

摘要:

我们将文献[1]中计算的 $2\rightarrow2$ 引力微子散射振幅推广到任意 $\mathcal{N}=1$ 超引力模型,该模型包含一个手征多重态和一个矢量多重态,背景为 Minkowski 时空,且超对称破缺由 $F$-项和 $D$-项共同驱动。我们发现,$\mathcal{O}(κ^2 E^4/|m_{3/2}|^2)$ 中领头项的抵消——若该领头项不抵消,将在标度 $Λ\sim M_\mathrm{SUSY}$ 处导致微扰幺正性破坏——是标量势在其极小值处为零的结果,而这一性质由平坦背景所蕴含。随后我们分析了新 Fayet-Iliopoulos(FI)项的引入。我们发现,由于这些新 FI 项会修改标量势却不贡献于散射振幅,它们通常会导致振幅中的领头项无法抵消,并使微扰截断降至超对称破缺标度;但在某些特殊情形下,新 FI 项不改变标量势在极小值处的取值,此时截断可被推高至普朗克标度。

英文摘要:

We extend the $2\rightarrow2$ gravitino scattering amplitude computed in [1] to an arbitrary $\mathcal{N}=1$ supergravity model of one chiral and one vector multiplet, in a Minkowski background with supersymmetry breaking driven by both $F$- and $D$-terms. We find that the cancellation of the leading term in $\mathcal{O}(κ^2 E^4/|m_{3/2}|^2)$, that would lead to a breakdown of perturbative unitarity at a scale $Λ\sim M_\mathrm{SUSY}$, is a consequence of the vanishing of the scalar potential at its minimum, which is implied by the flat background. We then analyse the inclusion of the new Fayet-Iliopoulos (FI) terms. We find that, since they modify the scalar potential without contributing to the amplitudes, they generically lead to uncanceled leading terms in the latter and a perturbative cutoff at the supersymmetry breaking scale, except for particular cases where the new FI term does not modify the potential at its minimum and the cutoff is pushed up to the Planck scale.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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