We derive a Higgs inflationary model in the context of a complex geometrical scalar-tensor theory of gravity. In this model the Higgs inflaton scalar field has geometrical origin playing the role of the Weyl scalar field in the original non-riemannian background geometry. The energy scale enough to generate inflation from the Higgs energy scale is achieved due to the compatibility of the theory with its background complex Weyl-integrable geometry. We found that for a number of e-foldings $N=63$, a nearly scale invariant spectrum for the inflaton is obtained with an spectral index $n_s\simeq 0.9735$ and a scalar to tensor ratio $r\simeq 0.01$, which are in agreement with Planck observational data.

我们在复杂的几何标量-张量引力理论的背景下推导了希格斯膨胀模型。在该模型中，希格斯膨胀子标量场具有几何原点，在原始非里曼方程式背景几何中起韦尔标量场的作用。由于该理论与其背景复杂的Weyl可积几何的相容性，因此获得了足以从希格斯能级产生膨胀的能级。我们发现，对于许多电子折叠$ñ=63$，获得了具有指数指数的胀气的近似尺度不变光谱 ${ñ}_s\simeq 0。9735$ 和标量张量比 $\mathrm{[R}\simeq 0。01$，与普朗克的观测数据一致。