The two-loop coefficient functions for double deeply virtual Compton scattering
Abstract Making use of conformal symmetry of large-n f QCD in d = 4 – 2ϵ dimensions at the Wilson-Fischer fixed point, we calculate the two-loop coefficient functions in the operator product expansion of two electromagnetic currents in general kinematics with two different photon virtualities. This...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)069 |
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| author | Vladimir M. Braun Hua-Yu Jiang Alexander N. Manashov Andreas von Manteuffel |
| author_facet | Vladimir M. Braun Hua-Yu Jiang Alexander N. Manashov Andreas von Manteuffel |
| author_sort | Vladimir M. Braun |
| collection | DOAJ |
| description | Abstract Making use of conformal symmetry of large-n f QCD in d = 4 – 2ϵ dimensions at the Wilson-Fischer fixed point, we calculate the two-loop coefficient functions in the operator product expansion of two electromagnetic currents in general kinematics with two different photon virtualities. This result is necessary for the description of the double deeply virtual Compton scattering to the next-to-next-to-leading order accuracy, but is also interesting for a range of other two-photon processes. We present analytic expression for the coefficient function in momentum fraction space in the MS ¯ $$ \overline{\textrm{MS}} $$ scheme and study its numerical impact on the Compton form factors for a simple model of the generalized parton distributions. The calculated corrections turn out to be large and are significant for the kinematics of proposed experiments. |
| format | Article |
| id | doaj-art-ee4eff9aa0a94ce691b0fb284ec7acc1 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-ee4eff9aa0a94ce691b0fb284ec7acc12025-01-19T12:07:00ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113510.1007/JHEP01(2025)069The two-loop coefficient functions for double deeply virtual Compton scatteringVladimir M. Braun0Hua-Yu Jiang1Alexander N. Manashov2Andreas von Manteuffel3Institut für Theoretische Physik, Universität RegensburgInstitute of Particle and Nuclear Physics, Henan Normal UniversityII. Institut für Theoretische Physik, Universität HamburgInstitut für Theoretische Physik, Universität RegensburgAbstract Making use of conformal symmetry of large-n f QCD in d = 4 – 2ϵ dimensions at the Wilson-Fischer fixed point, we calculate the two-loop coefficient functions in the operator product expansion of two electromagnetic currents in general kinematics with two different photon virtualities. This result is necessary for the description of the double deeply virtual Compton scattering to the next-to-next-to-leading order accuracy, but is also interesting for a range of other two-photon processes. We present analytic expression for the coefficient function in momentum fraction space in the MS ¯ $$ \overline{\textrm{MS}} $$ scheme and study its numerical impact on the Compton form factors for a simple model of the generalized parton distributions. The calculated corrections turn out to be large and are significant for the kinematics of proposed experiments.https://doi.org/10.1007/JHEP01(2025)069FactorizationRenormalization GroupHigher-Order Perturbative CalculationsScale and Conformal SymmetriesSpecific QCD Phenomenology |
| spellingShingle | Vladimir M. Braun Hua-Yu Jiang Alexander N. Manashov Andreas von Manteuffel The two-loop coefficient functions for double deeply virtual Compton scattering Journal of High Energy Physics Factorization Renormalization Group Higher-Order Perturbative Calculations Scale and Conformal Symmetries Specific QCD Phenomenology |
| title | The two-loop coefficient functions for double deeply virtual Compton scattering |
| title_full | The two-loop coefficient functions for double deeply virtual Compton scattering |
| title_fullStr | The two-loop coefficient functions for double deeply virtual Compton scattering |
| title_full_unstemmed | The two-loop coefficient functions for double deeply virtual Compton scattering |
| title_short | The two-loop coefficient functions for double deeply virtual Compton scattering |
| title_sort | two loop coefficient functions for double deeply virtual compton scattering |
| topic | Factorization Renormalization Group Higher-Order Perturbative Calculations Scale and Conformal Symmetries Specific QCD Phenomenology |
| url | https://doi.org/10.1007/JHEP01(2025)069 |
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