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arXiv 2401.02168hep-phgr-qc
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基于CMB实验与Swampland猜想的超对称混合暴胀

Supersymmetric Hybrid Inflation in Light of CMB Experiments and Swampland Conjectures

Waqas Ahmed, Shabbar Raza

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31 pages, 9 figures
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AI总结：

结合CMB实验与Swampland猜想，通过引入辐射与SUGRA修正及非最小Kähler势，提出新参数空间解决SUSY混合暴胀的质子衰变问题，并预测了可观测的原初引力波范围。

摘要：

本研究结合CMB实验和swampland猜想重新审视了超对称（SUSY）混合暴胀。我们首先表明，如果在标量势中加入辐射、软质量及SUGRA修正，超对称混合暴胀依然与Planck 2018相符，尽管给人留下不符的印象。通常，在具有最小Kähler势的SUSY混合暴胀中，规范对称性破缺能标M为${\cal O}(10^{15})$ GeV，这会导致质子衰变率问题。在本研究中，我们提出了一个新的参数空间，通过在$M_{S}^{2}<0$且$am_{3/2}>0$的条件下实现$10^{16}$ GeV量级的M，从而避免质子衰变率问题。在此情景下，需要软SUSY破缺能标$|M_{S}| \gtrsim 10^{6}$ GeV。此外，张量标量比r在$10^{-16}$到$10^{-6}$范围内，非常小。在这种情况下，修正的swampland成立，但很难满足跨普朗克审查猜想（TCC）。因此，我们也考虑了非最小Kähler势。我们固定了Planck 2018数据的谱指数$n_{S}=$0.9665（中心值）和$M=2\times 10^{16}$ GeV并给出了计算。我们展示了对于$M_{S}=$ 1 TeV、$m_{3/2}=$ 1 TeV、$\kappa_{S}<0$且$\cal{N}=$1和$\cal{N}=$2的情况，原初引力波的规范度量r的范围为$10^{-5}$到0.01，该范围可在Planck以及正在筹备测量的下一代实验（如LiteBIRD、Simons Observatory、PRISM、PIXIE、CORE、CMB-S4和CMB-HD实验）中观测到。除此之外，我们给出了与修正swampland和跨普朗克审查猜想一致的非最小情况的参数空间和基准点。

英文摘要：

This study revisits supersymmetric (SUSY) hybrid inflation in light of CMB experiments and swampland conjectures. We first show that if one adds radiative, soft mass, and SUGRA corrections to the scalar potential, supersymmetric hybrid inflation is still consistent with Planck 2018 despite an impression that it does not. Usually, in SUSY hybrid inflation with minimal Kähler potential, the gauge symmetry breaking scale $M$ turns out to be ${\cal O}(10^{15})$ GeV, which causes proton decay rate problem. In this study, we present a new parameter space where the proton decay rate problem can be avoided by achieving $M$ of the order of $10^{16}$ GeV with $M_{S}^{2}<$0 and $am_{3/2}>$0. In this scenario, one requires a soft SUSY breaking scale $|M_{S}| \gtrsim 10^{6}$ GeV. Moreover, the tensor to scalar ratio $r$ is in the range $10^{-16}$ to $10^{-6}$, which is quite small. In this case, modified swampland hold, but it is difficult to satisfy trans-Planckian censorship conjecture. For this reason, we also consider non-minimal Kähler potential. We fixed spectral index $n_{S}=$0.9665 (central value) of Planck 2018 data and $M=2\times 10^{16}$ GeV and present our calculations. We show the canonical measure of primordial gravity waves $r$ for $M_{S}=$ 1 TeV, $m_{3/2}=$ 1 TeV, $κ_{S}<0$ for $\cal{N}=$1 and $\cal{N}=$2, ranges from $10^{-5}$ to $0.01$ which can be observed in Planck and next-generation experiments such as LiteBIRD, Simons Observatory, PRISM, PIXIE,CORE, CMB-S4 and CMB-HD experiments that are gearing up to measure it. In addition to it, we present the parametric space and benchmark points for a non-minimal case which is consistent with modified swampland and trans-Planckian censorship conjectures.

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