MATAD: a program package for the computation of MAssive TADpoles

Abstract
In the recent years there has been an enormous development in the evaluation of higher order quantum corrections. An essential ingredient in the practical calculations is provided by vacuum diagrams, i.e. integrals without external momenta. In this paper a program package is described which can deal with one-, two-, and three-loop vacuum integrals with one non-zero mass parameter. The principle structure is introduced and the main parts of the package are described in detail. Explicit example...

Title of program: MATAD
Catalogue Id: ADNG_v1_0

Nature of problem
Multi-loop integrals are needed for the evaluation of quantum corrections. An important class of loop diagrams is covered by so-called vacuum integrals which have no external momentum. MATAD can analytically compute those one-, two- and three-loop vacuum integrals where one mass scale is present.

Versions of this program held in the CPC repository in Mendeley Data
ADNG_v1_0; MATAD; 10.1016/S0010-4655(00)00204-6

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

摘要
近年来，高阶量子修正的评估领域取得了长足进展。真空费曼图（vacuum diagrams），即不含外动量的积分，是实际计算中的核心要素之一。本文介绍了一款程序包，可处理含单个非零质量参数的一圈、两圈及三圈真空积分。文中阐述了该程序包的整体架构，并对其核心组成部分进行了详细说明，同时给出了具体示例……

程序名称：MATAD
目录编号：ADNG_v1_0

问题性质
多圈积分是量子修正计算的必需工具。一类重要的圈图为所谓的真空积分，这类积分不携带外动量。MATAD可对含单个质量标度的一圈、两圈及三圈真空积分进行解析计算。

本程序存于Mendeley数据的CPC程序库中的版本：ADNG_v1_0; MATAD; 10.1016/S0010-4655(00)00204-6

本程序源自贝尔法斯特女王大学维护的CPC程序库（1969-2019年）