ftint：用 pySecDec 计算梯度流积分

IF 7.2 2区物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computer Physics Communications Pub Date : 2024-09-20 DOI:10.1016/j.cpc.2024.109384

Robert V. Harlander , Theodoros Nellopoulos , Anton Olsson , Marius Wesle

{"title":"ftint：用 pySecDec 计算梯度流积分","authors":"Robert V. Harlander , Theodoros Nellopoulos , Anton Olsson , Marius Wesle","doi":"10.1016/j.cpc.2024.109384","DOIUrl":null,"url":null,"abstract":"<div><div>The program <span>ftint</span> is introduced which numerically evaluates dimensionally regularized integrals as they occur in the perturbative approach to the gradient-flow formalism in quantum field theory. It relies on sector decomposition in order to determine the coefficients of the individual orders in <span><math><mi>ϵ</mi><mo>=</mo><mo>(</mo><mn>4</mn><mo>−</mo><mi>D</mi><mo>)</mo><mo>/</mo><mn>2</mn></math></span>, where <em>D</em> is the space-time dimension. For that purpose, it implements an interface to the public library <span>pySecDec</span>. The current version works for massive and massless integrals up to three-loop level with vanishing external momenta, but the underlying method is extendable to more general cases.</div></div>","PeriodicalId":285,"journal":{"name":"Computer Physics Communications","volume":"306 ","pages":"Article 109384"},"PeriodicalIF":7.2000,"publicationDate":"2024-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ftint: Calculating gradient-flow integrals with pySecDec\",\"authors\":\"Robert V. Harlander , Theodoros Nellopoulos , Anton Olsson , Marius Wesle\",\"doi\":\"10.1016/j.cpc.2024.109384\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The program <span>ftint</span> is introduced which numerically evaluates dimensionally regularized integrals as they occur in the perturbative approach to the gradient-flow formalism in quantum field theory. It relies on sector decomposition in order to determine the coefficients of the individual orders in <span><math><mi>ϵ</mi><mo>=</mo><mo>(</mo><mn>4</mn><mo>−</mo><mi>D</mi><mo>)</mo><mo>/</mo><mn>2</mn></math></span>, where <em>D</em> is the space-time dimension. For that purpose, it implements an interface to the public library <span>pySecDec</span>. The current version works for massive and massless integrals up to three-loop level with vanishing external momenta, but the underlying method is extendable to more general cases.</div></div>\",\"PeriodicalId\":285,\"journal\":{\"name\":\"Computer Physics Communications\",\"volume\":\"306 \",\"pages\":\"Article 109384\"},\"PeriodicalIF\":7.2000,\"publicationDate\":\"2024-09-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computer Physics Communications\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0010465524003072\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computer Physics Communications","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0010465524003072","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}

引用次数: 0

摘要

本文介绍了 ftint 程序，它可以对量子场论中梯度流形式主义的微扰方法中出现的维正则化积分进行数值评估。它依靠扇形分解来确定ϵ=(4-D)/2（其中 D 是时空维度）中各个阶的系数。当前版本适用于外部矩量消失的三环以内的大质量和无质量积分，但其基本方法可扩展到更一般的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

ftint: Calculating gradient-flow integrals with pySecDec

The program ftint is introduced which numerically evaluates dimensionally regularized integrals as they occur in the perturbative approach to the gradient-flow formalism in quantum field theory. It relies on sector decomposition in order to determine the coefficients of the individual orders in

ϵ = (4 - D) / 2

, where D is the space-time dimension. For that purpose, it implements an interface to the public library pySecDec. The current version works for massive and massless integrals up to three-loop level with vanishing external momenta, but the underlying method is extendable to more general cases.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Computer Physics Communications 物理-计算机：跨学科应用

CiteScore

12.10

自引率

3.20%

发文量

287

审稿时长

5.3 months

期刊介绍： The focus of CPC is on contemporary computational methods and techniques and their implementation, the effectiveness of which will normally be evidenced by the author(s) within the context of a substantive problem in physics. Within this setting CPC publishes two types of paper. Computer Programs in Physics (CPiP) These papers describe significant computer programs to be archived in the CPC Program Library which is held in the Mendeley Data repository. The submitted software must be covered by an approved open source licence. Papers and associated computer programs that address a problem of contemporary interest in physics that cannot be solved by current software are particularly encouraged. Computational Physics Papers (CP) These are research papers in, but are not limited to, the following themes across computational physics and related disciplines. mathematical and numerical methods and algorithms; computational models including those associated with the design, control and analysis of experiments; and algebraic computation. Each will normally include software implementation and performance details. The software implementation should, ideally, be available via GitHub, Zenodo or an institutional repository.In addition, research papers on the impact of advanced computer architecture and special purpose computers on computing in the physical sciences and software topics related to, and of importance in, the physical sciences may be considered.