论文标题
Higgs-ElectRoweak手性拉格朗日:单环重新归一化方程
Higgs-Electroweak Chiral Lagrangian: One-Loop Renormalization Group Equations
论文作者
论文摘要
从我们先前获得的一环差异开始,我们可以明确并详细介绍Higgs-ElectRoweak手性拉格朗日的重新归一化。这包括最低级拉格朗日的重归其化,以及将其余差异分解为近级领先阶的完全基础。我们提供相应的Beta功能的列表。我们展示了我们的结果如何与SMEFT中某些Dimension-6运算符的单环重新归一化。我们进一步指出了文献中相关工作的差异并讨论它们。作为获得结果的应用,我们评估了希格斯字段的真空期望值的差异,并表明可以通过相应的重态化适当地将其删除。我们还可以解决一个有限的重新归一化,以使Higgs领域的无tADPOLE条件保持一个循环。
Starting from the one-loop divergences we obtained previously, we work out the renormalization of the Higgs-Electroweak Chiral Lagrangian explicitly and in detail. This includes the renormalization of the lowest-order Lagrangian, as well as the decomposition of the remaining divergences into a complete basis of next-to-leading-order counterterms. We provide the list of the corresponding beta functions. We show how our results match the one-loop renormalization of some of the dimension-6 operators in SMEFT. We further point out differences with related work in the literature and discuss them. As an application of the obtained results, we evaluate the divergences of the vacuum expectation value of the Higgs field at one loop and show that they can be appropriately removed by the corresponding renormalization. We also work out the finite renormalization required to keep the no-tadpole condition on the Higgs field at one loop.