论文标题
Palatini Higgs通货膨胀的量子效应
Quantum Effects in Palatini Higgs Inflation
论文作者
论文摘要
我们研究了Higgs通货膨胀中的量子效应，在重力公式中，将度量和连接视为自变量。我们利用了一个事实，即扰动理论分解的截止值高于通货膨胀的规模。除非超过截止的新物理学会导致不自然的较大校正，否则我们可以直接连接低能物理学和通货膨胀。一方面，由于对撞机实验而导致的顶部Yukawa耦合的下限会导致上限HIGGS场与重力的非微小耦合：$ξ\ Lessim 10^8 $。另一方面，Higgs的潜力只有在$ξ\ gtrsim 10^6 $时才能支持成功的通货膨胀。这导致在Yukawa顶部耦合上的相当严格的上限为$ 0.925 $（定义在$ \ overline {\ text {ms}} $ - 能量尺度上的$ 173.2 \，\ text {gev} $的方案），限制了Tensor至tensor-tosor-textration the tensor-tefiaction theor-tefiaction theor-tefiaction theor-tosor-tosor the tenor-tosor-tosor-tosor theorary theerary the。此外，我们将我们的发现与公制Higgs通货膨胀进行了比较。
We study quantum effects in Higgs inflation in the Palatini formulation of gravity, in which the metric and connection are treated as independent variables. We exploit the fact that the cutoff, above which perturbation theory breaks down, is higher than the scale of inflation. Unless new physics above the cutoff leads to unnaturally large corrections, we can directly connect low-energy physics and inflation. On the one hand, the lower bound on the top Yukawa coupling due to collider experiments leads to an upper bound on the non-minimal coupling of the Higgs field to gravity: $ξ\lesssim 10^8$. On the other hand, the Higgs potential can only support successful inflation if $ξ\gtrsim 10^6$. This leads to a fairly strict upper bound on the top Yukawa coupling of $0.925$ (defined in the $\overline{\text{MS}}$-scheme at the energy scale $173.2\,\text{GeV}$) and constrains the inflationary prediction for the tensor-to-scalar ratio. Additionally, we compare our findings to metric Higgs inflation.
