论文标题
II型SEESAW模型与标准模型有效场理论的一环匹配
One-loop Matching of the Type-II Seesaw Model onto the Standard Model Effective Field Theory
论文作者
论文摘要
在本文中，我们继续构建规范Seesaw模型的低能有效场理论（EFT），它们是标准模型（SM）的自然扩展，以适应微小但非零的中微子质量。与I型SEESAW模型中的三个右中微子单元不同，II型SEESAW模型中的Higgs Triplet直接参与了Electroweak仪表的交互，从而使EFT结构更具挑战性。通过将重型希格斯三胞胎整合在功能性形式主义中，我们将类型的II SEESAW模型完整的单循环匹配到所谓的标准模型有效场理论（SMEFT）上。事实证明，可以在Warsaw的基础上获得41个二维操作员（禁止风味结构和Hermitian coogates），在I类模型的情况下涵盖了所有这31个二维操作员。使用$ m^{}_Δ$是Higgs Trealet的质量表，使用$ \ MATHCAL {O} \ left（m^{ - 2}_Δ\ right）$计算41个尺寸六维运算符的Wilson系数。此外，在EFT中计算了带电瘦小的稀有辐射衰变的分支比率$ l^-_α\至l^-_β+γ$的分支比，并与完整理论中的分支相比，以证明我们的eft构造的实际应用和正确性。
In this paper, we continue to construct the low-energy effective field theories (EFTs) of the canonical seesaw models, which are natural extensions of the Standard Model (SM) to accommodate tiny but nonzero neutrino masses. Different from three right-handed neutrino singlets in the type-I seesaw model, the Higgs triplet in the type-II seesaw model participates directly in the electroweak gauge interactions, rendering the EFT construction more challenging. By integrating out the heavy Higgs triplet in the functional-integral formalism, we carry out a complete one-loop matching of the type-II seesaw model onto the so-called Standard Model Effective Field Theory (SMEFT). It turns out that 41 dimension-six operators (barring flavor structures and Hermitian conjugates) in the Warsaw basis of the SMEFT can be obtained, covering all those 31 dimension-six operators in the case of type-I seesaw model. The Wilson coefficients for 41 dimension-six operators are computed up to $\mathcal{O}\left( M^{-2}_Δ\right)$ with $M^{}_Δ$ being the mass scale of the Higgs triplet. Moreover, the branching ratios of rare radiative decays of charged leptons $l^-_α\to l^-_β+ γ$ are calculated in the EFT and compared with that in the full theory in order to demonstrate the practical application and the correctness of our EFT construction.
