论文标题
通过一组尺寸-7操作员，扩展低能有效的现场理论
Extending low energy effective field theory with a complete set of dimension-7 operators
论文作者
论文摘要
我们在低能量有效场理论（左）中提出了一组完整而独立的尺寸-7操作员，其中动态自由度是标准模型五夸克和所有中性和带电的leptons。所有运营商都是非热者，并且根据其Baryon（$ΔB$）和Lepton（$ΔL$）数字进行分类。包括Hermitian结合的运营商，总共有3168美元，$ 750 $，$ 588 $，$ 712 $的运营商，$（ΔB，Δl）=（0,0）$，$（0，\ pm 2）$，$（\ pm 2）$，$（\ pm 1，\ mp 1，\ mp 1）$，$（mp 1）$，$（\ pm 1，\ pm 1，\ pm 1，\ pm 1）$相应。我们使用标准模型有效场理论（SMEFT）执行树级匹配，直至左和SMEFT中的Dimension-7（DIM-7）运算符。作为一种现象学应用，我们研究了由于DIM-7 Lepton数量违反了型操作员而引起的有效中微子 - 光子相互作用，这些相互作用是诱导的，并且在DIM-6运算符的一个循环中大大增强，而DIM-7 SMEFT运算符又与DIM-6运算符相匹配。我们将各种中微子 - 光子散射的横截面与标准模型中的横截面进行了比较，并突出了新功能。最后，我们说明了这些有效的相互作用是如何由紫外线完成的。
We present a complete and independent set of dimension-7 operators in the low energy effective field theory (LEFT) where the dynamical degrees of freedom are the standard model five quarks and all of the neutral and charged leptons. All operators are non-Hermitian and are classified according to their baryon ($ΔB$) and lepton ($ΔL$) numbers violated. Including Hermitian-conjugated operators, there are in total $3168$, $750$, $588$, $712$ operators with $(ΔB,ΔL)=(0,0)$, $(0,\pm 2)$, $(\pm 1,\mp 1)$, $(\pm 1,\pm 1)$ respectively. We perform the tree-level matching with the standard model effective field theory (SMEFT) up to dimension-7 (dim-7) operators in both LEFT and SMEFT. As a phenomenological application we study the effective neutrino-photon interactions due to dim-7 lepton number violating operators that are induced and much enhanced at one loop from dim-6 operators that in turn are matched from dim-7 SMEFT operators. We compare the cross sections of various neutrino-photon scattering with their counterparts in the standard model and highlight the new features. Finally we illustrate how these effective interactions could arise from ultraviolet completion.
