{"title":"tParton: an updated implementation of next-to-leading order transversity evolution","authors":"Congzhou M Sha, Bailing Ma","doi":"arxiv-2409.00221","DOIUrl":null,"url":null,"abstract":"We provide code to solve the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi\n(DGLAP) evolution equations for the nucleon transversity parton distribution\nfunctions (PDFs), which encode nucleon transverse spin structure. Though codes\nare widely available for the evolution of unpolarized and polarized PDFs, there\nare no recent codes publicly available for the transversity PDF. Here, we\npresent Python code which implements two methods of solving the leading order\n(LO) and next-to-leading order (NLO) approximations of the DGLAP equations for\nthe transversity PDF, and we highlight the theoretical differences between the\ntwo.","PeriodicalId":501369,"journal":{"name":"arXiv - PHYS - Computational Physics","volume":"13 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Computational Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.00221","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We provide code to solve the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi
(DGLAP) evolution equations for the nucleon transversity parton distribution
functions (PDFs), which encode nucleon transverse spin structure. Though codes
are widely available for the evolution of unpolarized and polarized PDFs, there
are no recent codes publicly available for the transversity PDF. Here, we
present Python code which implements two methods of solving the leading order
(LO) and next-to-leading order (NLO) approximations of the DGLAP equations for
the transversity PDF, and we highlight the theoretical differences between the
two.
我们提供了求解核子横向部分子分布函数(PDF)的多克什策-格里波夫-利帕托夫-阿尔塔雷利-帕里斯(DGLAP)演化方程的代码,PDF编码核子横向自旋结构。虽然非极化和极化 PDF 的演化代码已广泛存在,但最近还没有公开的横向 PDF 代码。在这里,我们将介绍 Python 代码,它实现了两种方法来求解横向 PDF 的 DGLAP 方程的前导阶(LO)和次前导阶(NLO)近似,并强调了这两种方法的理论差异。