Four-loop QCD cusp anomalous dimension at small angle
Abstract We calculate the small angle expansion of the four-loop QCD cusp anomalous dimension. As a byproduct of our calculation, we also obtain the four-loop anomalous dimension of the heavy-quark field in HQET. The validity of the calculational setup is cross-checked by the independent calculation...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2022)094 |
| _version_ | 1797865755151171584 |
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| author | Andrey G. Grozin Roman N. Lee Andrey F. Pikelner |
| author_facet | Andrey G. Grozin Roman N. Lee Andrey F. Pikelner |
| author_sort | Andrey G. Grozin |
| collection | DOAJ |
| description | Abstract We calculate the small angle expansion of the four-loop QCD cusp anomalous dimension. As a byproduct of our calculation, we also obtain the four-loop anomalous dimension of the heavy-quark field in HQET. The validity of the calculational setup is cross-checked by the independent calculation of the four-loop QCD beta-function from heavy-quark-gluon vertex renormalization in HQET. We check the obtained results for the cusp anomalous dimension and heavy-quark field anomalous dimension against available analytical and numerical results. Finally, we find that the maximal transcendentality contribution to the QCD Bremsstrahlung function coincides, up to a factor 3/2, with the Bremsstrahlung function in N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills theory, at least, through 4 loops. |
| first_indexed | 2024-04-09T23:13:19Z |
| format | Article |
| id | doaj.art-a0a92155587f4aa0885a19be68e5b164 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:13:19Z |
| publishDate | 2022-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a0a92155587f4aa0885a19be68e5b1642023-03-22T10:15:19ZengSpringerOpenJournal of High Energy Physics1029-84792022-11-0120221111310.1007/JHEP11(2022)094Four-loop QCD cusp anomalous dimension at small angleAndrey G. Grozin0Roman N. Lee1Andrey F. Pikelner2Budker Institute of Nuclear PhysicsBudker Institute of Nuclear PhysicsJoint Institute of Nuclear ResearchAbstract We calculate the small angle expansion of the four-loop QCD cusp anomalous dimension. As a byproduct of our calculation, we also obtain the four-loop anomalous dimension of the heavy-quark field in HQET. The validity of the calculational setup is cross-checked by the independent calculation of the four-loop QCD beta-function from heavy-quark-gluon vertex renormalization in HQET. We check the obtained results for the cusp anomalous dimension and heavy-quark field anomalous dimension against available analytical and numerical results. Finally, we find that the maximal transcendentality contribution to the QCD Bremsstrahlung function coincides, up to a factor 3/2, with the Bremsstrahlung function in N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills theory, at least, through 4 loops.https://doi.org/10.1007/JHEP11(2022)094Effective Field Theories of QCDHigher-Order Perturbative CalculationsEffective Field TheoriesRenormalization Group |
| spellingShingle | Andrey G. Grozin Roman N. Lee Andrey F. Pikelner Four-loop QCD cusp anomalous dimension at small angle Journal of High Energy Physics Effective Field Theories of QCD Higher-Order Perturbative Calculations Effective Field Theories Renormalization Group |
| title | Four-loop QCD cusp anomalous dimension at small angle |
| title_full | Four-loop QCD cusp anomalous dimension at small angle |
| title_fullStr | Four-loop QCD cusp anomalous dimension at small angle |
| title_full_unstemmed | Four-loop QCD cusp anomalous dimension at small angle |
| title_short | Four-loop QCD cusp anomalous dimension at small angle |
| title_sort | four loop qcd cusp anomalous dimension at small angle |
| topic | Effective Field Theories of QCD Higher-Order Perturbative Calculations Effective Field Theories Renormalization Group |
| url | https://doi.org/10.1007/JHEP11(2022)094 |
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