Massive non-planar two-loop four-point integrals with SecDec 2.1

Abstract We present numerical results for massive non-planar two-loop box integrals entering heavy quark pair production at NNLO, some of which are not known analytically yet. The results have been obtained with the program SecDec 2.1, based on sector decomposition and contour deformation, in combination with new types of transformations. Among the new features of version 2.1 is also the possibility to evaluate contracted tensor integrals, with no limitation on the rank. ... Title of program: SecDec 2.1 Catalogue Id: AEIR_v2_1 Nature of problem Extraction of ultraviolet and infrared singularities from parametric integrals appearing in higher order perturbative calculations in gauge theories. Numerical integration in the presence of integrable singularities (e.g. kinematic thresholds in massive multi-loop integrals). Flexibility to treat non-standard user defined functions Versions of this program held in the CPC repository in Mendeley Data AEIR_v1_0; SecDec; 10.1016/j.cpc.2011.03.026 AEIR_v2_0; SecDec 2.0; 10.1016/j.cpc.2012.09.020 AEIR_v2_1; SecDec 2.1; 10.1016/j.cpc.2013.05.022 AEIR_v3_0; SecDec 3.0; 10.1016/j.cpc.2015.05.022 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)摘要 本文给出了次次领头阶（Next-to-Next-to-Leading Order，NNLO）重夸克对产生过程中涉及的带质量非平面双圈箱积分的数值结果，其中部分积分目前尚无解析解。本结果通过基于扇区分解与围道变形、并结合新型变换的程序SecDec 2.1计算得到。该程序2.1版本的新增功能之一，还支持对缩并张量积分进行数值计算，且不受张量阶数的限制。 程序名称：SecDec 2.1 目录编号：AEIR_v2_1 问题性质 从规范理论高阶微扰计算中出现的参数积分中提取紫外与红外奇点；处理存在可积奇点（如带质量多圈积分中的运动学阈值）的数值积分；支持灵活处理用户自定义的非标准函数。 Mendeley数据中CPC程序库存储的该程序版本： AEIR_v1_0; SecDec; 10.1016/j.cpc.2011.03.026 AEIR_v2_0; SecDec 2.0; 10.1016/j.cpc.2012.09.020 AEIR_v2_1; SecDec 2.1; 10.1016/j.cpc.2013.05.022 AEIR_v3_0; SecDec 3.0; 10.1016/j.cpc.2015.05.022 本程序从贝尔法斯特女王大学所藏的CPC程序库（1969-2018年）导入。