论文标题
（I+II）Seesaw有效场理论的完整一环结构
Complete One-loop Structure of the Type-(I+II) Seesaw Effective Field Theory
论文作者
论文摘要
除了三种规范的Seesaw机制外，混合场景，即所谓的类型 - （I+II）的Seesaw机制，其中既包含右手中微子$ n^{} _ {\ rm rm r} $，又是三倍的higgs $φ$也是标准模型的群体（smssmatient）。最近，三种规范的SEESAW机制的Seesaw有效场理论（Sefts）已经完全构建到一环水平。在这项工作中，我们在相应的类型 - （i+ii）Seft上进行了类型 - （I+II）的单层匹配，这绝不是I型I和II型Sefts的微不足道组合，即使右手中性媒体和Triplet Higg也没有直接的互动，也包含了其他贡献。我们采用Feynman Mingrammatic方法，从$ n^{} _ {\ rm r} $和$φ$的纠缠效果中计算出所有这些其他贡献，并最终实现了类型 - （I+II）Seft的完整一环结构。在类型 - （I+II）SEFT中，DIM-6运算符的数量和内容与II型SEFT中的数量和内容完全相同，但是独特的DIM-5和Nine Dim-6的Wilson系数以及SM HIGG的Quartic耦合常数以及SM HIGGS的QUARTIC耦合常数以及其他额外的贡献，这些贡献获得了一些额外的贡献，这些贡献在type-i和type-ii sefts中没有。
Besides the three canonical seesaw mechanisms, the hybrid scenario, i.e., the so-called type-(I+II) seesaw mechanism containing both the right-handed neutrinos $N^{}_{\rm R}$ and the triplet Higgs $Φ$ is also an appealing extension of the Standard Model (SM) to account for tiny neutrino masses. Recently, the seesaw effective field theories (SEFTs) of the three canonical seesaw mechanisms have already been completely constructed up to one-loop level. In this work, we carry out the one-loop matching of the type-(I+II) seesaw mechanism onto the corresponding type-(I+II) SEFT, which is by no means the trivial combination of the type-I and type-II SEFTs and contains additional contributions even though the right-handed neutrinos and the triplet Higgs have no direct interactions. Employing the Feynman diagrammatic approach, we calculate all those additional contributions from the entangled effects of $N^{}_{\rm R}$ and $Φ$, and finally achieve the complete one-loop structure of the type-(I+II) SEFT. In the type-(I+II) SEFT, the number and content of dim-6 operators are exactly the same as those in the type-II SEFT, but the Wilson coefficients of the unique dim-5 and nine dim-6 operators as well as the quartic coupling constant of the SM Higgs gain some additional contributions, which are absent in the type-I and type-II SEFTs.
