Nonplanar four-loop anomalous dimensions of twist-two operators in N=4 supersymmetric Yang-Mills theory: Higher moment, general result, and cusp anomalous dimension
{"title":"Nonplanar four-loop anomalous dimensions of twist-two operators in N=4 supersymmetric Yang-Mills theory: Higher moment, general result, and cusp anomalous dimension","authors":"B. A. Kniehl, V. N. Velizhanin","doi":"10.1103/physrevd.111.l061902","DOIUrl":null,"url":null,"abstract":"We consider the nonplanar universal anomalous dimension of twist-two operators at four loops in N</a:mi>=</a:mo>4</a:mn></a:mrow></a:math> supersymmetric Yang-Mills theory and push its direct diagrammatic calculation through Lorentz spin <d:math xmlns:d=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><d:mi>j</d:mi><d:mo>=</d:mo><d:mn>20</d:mn></d:math>, one unit beyond the state of the art, so as to confirm the correctness of the general, all-<f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:mi>j</f:mi></f:math> result conjectured previously by us [Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><h:mi mathvariant=\"script\">N</h:mi><h:mo>=</h:mo><h:mn>4</h:mn></h:math> SYM theory, .] imposing certain constraints on its analytic form. Thanks to our new result, such constraints can be eliminated altogether. By the same token, this allows us to rederive, in a completely independent way, the nonplanar four-loop cusp anomalous dimension by taking the large-<k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:mi>j</k:mi></k:math> limit of the general result. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"22 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.l061902","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
We consider the nonplanar universal anomalous dimension of twist-two operators at four loops in N=4 supersymmetric Yang-Mills theory and push its direct diagrammatic calculation through Lorentz spin j=20, one unit beyond the state of the art, so as to confirm the correctness of the general, all-j result conjectured previously by us [Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory, .] imposing certain constraints on its analytic form. Thanks to our new result, such constraints can be eliminated altogether. By the same token, this allows us to rederive, in a completely independent way, the nonplanar four-loop cusp anomalous dimension by taking the large-j limit of the general result. Published by the American Physical Society2025
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Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
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