论文标题
一环级别的阳性界限：希格斯行业
Positivity bounds at one-loop level: the Higgs sector
论文作者
论文摘要
在本文中，我们促进了从树级到环水平的凸锥方法。此方法是一般的，可以应用于在标准模型有效场理论中的正向散射过程中获得领先的$ S^2 $阳性界限。为了获得循环级别的边界，原始树级边界通过循环校正修改，循环校正涉及低维系数。已经提供了在一个循环级别上有效的新阳性范围。我们研究了一些特定的紫外线模型，以检查新边界的有效性。另外，还探索了重量法化组对阳性的影响。我们指出，只要在截止量表上满足新界限$λ$，它们也将在各个尺度上得到满足。
In this paper, we promote the convex cone method of positive bounds from tree level to loop level. This method is general and can be applied to obtain leading $s^2$ positivity bounds on the forward scattering process in the standard model effective field theory. To obtain the loop level bounds, the original tree level bounds are modified by loop corrections, which involve low dimensional coefficients. New positivity bounds being valid at one loop level on the four-Higgs scattering have been provided. We study some specific ultraviolet models to check the validity of the new bounds. In addition, the renormalisation group effect on positivity is explored. We point out that as long as the new bounds are satisfied at the cutoff scale $Λ$, they will also be satisfied at all scales.
