The {β}-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order O( α s 4 $$ {\alpha}_s^4 $$ )
Abstract We derive explicit expressions for the elements of the {β}-expansion for the nonsinglet Adler D A -function and Bjorken polarized sum rules S Bjp in the N4LO using recent results by Chetyrkin for these quantities computed within extended QCD including any number of fermion representations....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)185 |
| _version_ | 1811208730376667136 |
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| author | P. A. Baikov S. V. Mikhailov |
| author_facet | P. A. Baikov S. V. Mikhailov |
| author_sort | P. A. Baikov |
| collection | DOAJ |
| description | Abstract We derive explicit expressions for the elements of the {β}-expansion for the nonsinglet Adler D A -function and Bjorken polarized sum rules S Bjp in the N4LO using recent results by Chetyrkin for these quantities computed within extended QCD including any number of fermion representations. We discuss the properties of the {β}-expansion for D A and S Bjp at higher orders which follow from the Crewther [1] and the Broadhurst-Kataev [2] relation. |
| first_indexed | 2024-04-12T04:26:32Z |
| format | Article |
| id | doaj.art-376573afa2c44b3e88d507e0e19668e4 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T04:26:32Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-376573afa2c44b3e88d507e0e19668e42022-12-22T03:48:04ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022911810.1007/JHEP09(2022)185The {β}-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order O( α s 4 $$ {\alpha}_s^4 $$ )P. A. Baikov0S. V. Mikhailov1Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, 1(2)Bogoliubov Laboratory of Theoretical Physics, JINRAbstract We derive explicit expressions for the elements of the {β}-expansion for the nonsinglet Adler D A -function and Bjorken polarized sum rules S Bjp in the N4LO using recent results by Chetyrkin for these quantities computed within extended QCD including any number of fermion representations. We discuss the properties of the {β}-expansion for D A and S Bjp at higher orders which follow from the Crewther [1] and the Broadhurst-Kataev [2] relation.https://doi.org/10.1007/JHEP09(2022)185Higher-Order Perturbative CalculationsFactorizationRenormalization Group |
| spellingShingle | P. A. Baikov S. V. Mikhailov The {β}-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order O( α s 4 $$ {\alpha}_s^4 $$ ) Journal of High Energy Physics Higher-Order Perturbative Calculations Factorization Renormalization Group |
| title | The {β}-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order O( α s 4 $$ {\alpha}_s^4 $$ ) |
| title_full | The {β}-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order O( α s 4 $$ {\alpha}_s^4 $$ ) |
| title_fullStr | The {β}-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order O( α s 4 $$ {\alpha}_s^4 $$ ) |
| title_full_unstemmed | The {β}-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order O( α s 4 $$ {\alpha}_s^4 $$ ) |
| title_short | The {β}-expansion for Adler function, Bjorken Sum Rule, and the Crewther-Broadhurst-Kataev relation at order O( α s 4 $$ {\alpha}_s^4 $$ ) |
| title_sort | β expansion for adler function bjorken sum rule and the crewther broadhurst kataev relation at order o α s 4 alpha s 4 |
| topic | Higher-Order Perturbative Calculations Factorization Renormalization Group |
| url | https://doi.org/10.1007/JHEP09(2022)185 |
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