Can Higgs Inflation be Saved with High-scale Supersymmetry ?

TL;DR

This paper investigates whether Higgs inflation can be compatible with high-scale supersymmetry, focusing on the impact of the non-minimal coupling constant and threshold corrections at specific energy scales.

Contribution

It provides a detailed analysis of how the magnitude of the non-minimal coupling constant affects the viability of Higgs inflation within high-scale supersymmetry models.

Findings

For small $\xi \\leq 500$, threshold corrections are tightly constrained.

In the large $\xi \\geq 10^{4}$ region, high-scale supersymmetry is excluded due to excessive threshold corrections.

Threshold corrections vary depending on dark matter candidate, affecting inflation viability.

Abstract

It is shown whether Higgs inflation can be saved with high-scale supersymmetry critically depends on the magnitude of non-minimal coupling constant $\xi$. For small $\xi \leq 500$, the threshold correction at scale $M_{P}/\xi$ is constrained in high precision.Its magnitude is in the narrow range of $(-0.03, -0.02)$ and $(-0.05, -0.04)$ for the wino and higgsino/singlino dark matter, respectively. While in the large $\xi$-region with $\xi \geq 10^{4}$, such high-scale supersymmetry is excluded by too large threshold correction as required by Higgs inflation.