MassToMI—A Mathematica package for an automatic Mass Insertion expansion

Abstract We present a Mathematica package designed to automatize the expansion of transition amplitudes calculated in the mass eigenstates basis (i.e. expressed in terms of physical masses and mixing matrices) into series of “mass insertions”, defined as off-diagonal entries of mass matrices in Lagrangian before diagonalization and identification of the physical states. The algorithm implemented in this package is based on the general “Flavor Expansion Theorem” proven in Dedes et al. (2015). The suppl... Title of program: MassToMI v1.0 Catalogue Id: AEZF_v1_0 Nature of problem Automatized expansion of QFT transition amplitude calculated in mass eigenstates basis into power series of off-diagonal elements of mass matrices of the interaction basis Lagrangian. Versions of this program held in the CPC repository in Mendeley Data AEZF_v1_0; MassToMI v1.0; 10.1016/j.cpc.2015.12.011 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)摘要 我们开发了一款Mathematica软件包，旨在将以质量本征态基矢（即以物理质量与混合矩阵表示）下计算得到的跃迁振幅，自动展开为“质量插入项（mass insertions）”的级数形式。其中质量插入项被定义为：在对拉格朗日量（Lagrangian）进行对角化并确定物理态之前，该拉格朗日量中质量矩阵的非对角元。本软件包所实现的算法基于Dedes等人于2015年提出并证明的广义“味展开定理（Flavor Expansion Theorem）”。本研究的补充…… 程序名称：MassToMI v1.0 目录编号：AEZF_v1_0 问题本质 将量子场论（Quantum Field Theory, QFT）中以质量本征态基矢计算得到的跃迁振幅，自动展开为相互作用基矢拉格朗日量中质量矩阵非对角元的幂级数形式。 存放在Mendeley数据的CPC库中的该程序版本： AEZF_v1_0; MassToMI v1.0; 10.1016/j.cpc.2015.12.011 本程序源自贝尔法斯特女王大学所维护的CPC程序库（1969-2018）。