论文标题
几何$ν$ smeft：操作员和连接
The Geometric $ν$SMEFT: Operators and Connections
论文作者
论文摘要
我们写下了标准模型有效场理论（SMEFT）的几何实现，该理论（SMEFT）由$ n_f $ light sorlile netrinos（一种所谓的Geo $ n $ n $ n_f $ smeft）延伸。 As with the geoSMEFT introduced by Helset, Martin and Trott, we show that a refactorization of the $ν$SMEFT's operator product expansion is possible, such that two- and three-point composite operator forms are dressed with field-space connections composed of towers of Higgs dressings and symmetry generators, valid at \emph{all-orders} in the $ \ OVERLINE {V} _T/λ$ Expandion eft的参数（$ \ overline {v} _t \ equiv \ sqrt {2 \ langle H^\ dagger H \ rangle} $）。这些连接由真实的HIGGS坐标参数化，并有助于（$ν$）SM的场空间几何形状，其结构与超越 - （$ν$）标准模型物理学的强度相关，以$ \ overline {v} _T/λ$编码。除了列举相关的复合操作员和相关的连接外，我们还简要概述了计算所有 - $ \ operline {v} _t/λ$ orplituders amplitudes的途径，包括了解中微子质量 - 质量基质量基础所需的风味不变理论。
We write down a geometric realization of the Standard Model Effective Field Theory (SMEFT) extended by $n_f$ flavours of light sterile neutrinos, a so-called geo$ν$SMEFT. As with the geoSMEFT introduced by Helset, Martin and Trott, we show that a refactorization of the $ν$SMEFT's operator product expansion is possible, such that two- and three-point composite operator forms are dressed with field-space connections composed of towers of Higgs dressings and symmetry generators, valid at \emph{all-orders} in the $\overline{v}_T/Λ$ expansion parameter of the EFT ($\overline{v}_T \equiv \sqrt{2\langle H^\dagger H\rangle}$) . These connections are parameterized by real Higgs coordinates and contribute to the field-space geometry of the ($ν$)SM, with structure linked to the strength of Beyond-the-($ν$)Standard Model physics encoded in $\overline{v}_T/Λ$. In addition to enumerating the relevant composite operators and associated connections, we briefly outline the route to calculating all-$\overline{v}_T/Λ$-orders amplitudes, including the flavor-invariant theory required to understand the neutrino mass-eigenstate basis geometrically.
