DEFT:一个用于EFT中操作员的程序
DEFT: A program for operators in EFT
摘要:
我们描述了一个基于Python的计算机程序,DEFT,用于操纵运营商在有效场论(EFT)。在目前的版本中,DEFT可以应用于4维的庞加莱不变量理论和规范群$SU(3)\times SU(2) \times U(1)$,例如标准模型(SM),但是各种扩展(例如更低的维度或幺正规范群的任意乘积)在概念上是简单的。在其他功能中,该程序能够:(i)检查拉格朗日算子的输入列表是否(在EFT展开中的给定维度)是对S矩阵元素有贡献的算子空间的基础,一旦冗余(如Fierz-Pauli恒等式,部分积分和运动方程)被考虑在内;(ii)生成这样的基础(在可能的情况下)从输入算法;(iii)进行基础的改变。我们描述了应用程序的SM(在那里我们进行了一些非平凡的交叉检查)和扩展,并概述了该计划如何可能是使用的SM的精度测试和正在进行的搜索新的物理在LHC和其他地方。代码和说明可以从http://web.physics.ucsb.edu/~dwsuth/DEFT/下载。
英文摘要:
We describe a Python-based computer program, DEFT, for manipulating operators in effective field theories (EFTs). In its current incarnation, DEFT can be applied to 4-dimensional, Poincaré invariant theories with gauge group $SU(3)\times SU(2) \times U(1)$, such as the Standard Model (SM), but a variety of extensions (e.g. to lower dimensions or to an arbitrary product of unitary gauge groups) are conceptually straightforward. Amongst other features, the program is able to: (i) check whether an input list of Lagrangian operators (of a given dimension in the EFT expansion) is a basis for the space of operators contributing to S-matrix elements, once redundancies (such as Fierz-Pauli identities, integration by parts, and equations of motion) are taken into account; (ii) generate such a basis (where possible) from an input algorithm; (iii) carry out a change of basis. We describe applications to the SM (where we carry out a number of non-trivial cross-checks) and extensions thereof, and outline how the program may be of use in precision tests of the SM and in the ongoing search for new physics at the LHC and elsewhere. The code and instructions can be downloaded from http://web.physics.ucsb.edu/~dwsuth/DEFT/.
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