用完备的7维算符扩展低能有效场论
Extending low energy effective field theory with a complete set of dimension-7 operators
摘要：
我们提出了一套完整的和独立的7维运营商在低能有效场论（左）的动力学自由度是标准模型的五夸克和所有的中性和带电轻子。所有的算符都是非厄米算符，并根据它们的重子数（$ΔB$）和轻子数（$ΔL$）进行分类。包括厄米共轭算子在内，总共有$3168$、$750$、$588$、$712$算子，分别有$(ΔB,ΔL)=(0,0)$、$(0,\pm 2)$、$(\pm 1,\mp 1)$、$(\pm 1,\pm 1)$。我们执行树级匹配与标准模型有效场论（SMEFT）的7维（dim-7）运营商在左和SMEFT。作为唯象的应用，我们研究了由于dim-7轻子数违反运营商，诱导和大大增强在一个循环从dim-6运营商，反过来又匹配从dim-7 SMEFT运营商的有效中微子-光子相互作用。我们比较了各种中微子-光子散射的横截面与标准模型中的对应物，并突出了新的功能。最后，我们说明这些有效的相互作用可能会出现紫外线完成。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
