Gluon-mediated inclusive Deep Inelastic Scattering from Regge to Bjorken kinematics
Abstract We revisit high energy factorization for gluon mediated inclusive Deep Inelastic Scattering (DIS) for which we propose a new semi-classical approach that accounts systematically for the longitudinal extent of the target in contrast with the shockwave limit. In this framework, based on a par...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2022)080 |
| _version_ | 1811218261434433536 |
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| author | Renaud Boussarie Yacine Mehtar-Tani |
| author_facet | Renaud Boussarie Yacine Mehtar-Tani |
| author_sort | Renaud Boussarie |
| collection | DOAJ |
| description | Abstract We revisit high energy factorization for gluon mediated inclusive Deep Inelastic Scattering (DIS) for which we propose a new semi-classical approach that accounts systematically for the longitudinal extent of the target in contrast with the shockwave limit. In this framework, based on a partial twist expansion, we derive a factorization formula that involves a new gauge invariant unintegrated gluon distribution which depends explicitly on the Feynman x variable. It is shown that both the Regge and Bjorken limits are recovered in this approach. We reproduce in particular the full one loop inclusive DIS cross-section in the leading twist approximation and the all-twist dipole factorization formula in the strict x = 0 limit. Although quantum evolution is not discussed explicitly in this work, we argue that the proper treatment of the x dependence of the gluon distribution encompasses the kinematic constraint that must be imposed on the phase-space of gluon fluctuations in the target to ensure stability of small-x evolution. |
| first_indexed | 2024-04-12T07:06:49Z |
| format | Article |
| id | doaj.art-16fd19cf28c6491db4d1b6e745434272 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T07:06:49Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-16fd19cf28c6491db4d1b6e7454342722022-12-22T03:42:45ZengSpringerOpenJournal of High Energy Physics1029-84792022-07-012022715410.1007/JHEP07(2022)080Gluon-mediated inclusive Deep Inelastic Scattering from Regge to Bjorken kinematicsRenaud Boussarie0Yacine Mehtar-Tani1Centre de Physique Théorique, École polytechnique, CNRS, I.P. ParisPhysics Department and RIKEN BNL Research Center, Brookhaven National LaboratoryAbstract We revisit high energy factorization for gluon mediated inclusive Deep Inelastic Scattering (DIS) for which we propose a new semi-classical approach that accounts systematically for the longitudinal extent of the target in contrast with the shockwave limit. In this framework, based on a partial twist expansion, we derive a factorization formula that involves a new gauge invariant unintegrated gluon distribution which depends explicitly on the Feynman x variable. It is shown that both the Regge and Bjorken limits are recovered in this approach. We reproduce in particular the full one loop inclusive DIS cross-section in the leading twist approximation and the all-twist dipole factorization formula in the strict x = 0 limit. Although quantum evolution is not discussed explicitly in this work, we argue that the proper treatment of the x dependence of the gluon distribution encompasses the kinematic constraint that must be imposed on the phase-space of gluon fluctuations in the target to ensure stability of small-x evolution.https://doi.org/10.1007/JHEP07(2022)080Deep Inelastic Scattering or Small-X PhysicsParton Distributions |
| spellingShingle | Renaud Boussarie Yacine Mehtar-Tani Gluon-mediated inclusive Deep Inelastic Scattering from Regge to Bjorken kinematics Journal of High Energy Physics Deep Inelastic Scattering or Small-X Physics Parton Distributions |
| title | Gluon-mediated inclusive Deep Inelastic Scattering from Regge to Bjorken kinematics |
| title_full | Gluon-mediated inclusive Deep Inelastic Scattering from Regge to Bjorken kinematics |
| title_fullStr | Gluon-mediated inclusive Deep Inelastic Scattering from Regge to Bjorken kinematics |
| title_full_unstemmed | Gluon-mediated inclusive Deep Inelastic Scattering from Regge to Bjorken kinematics |
| title_short | Gluon-mediated inclusive Deep Inelastic Scattering from Regge to Bjorken kinematics |
| title_sort | gluon mediated inclusive deep inelastic scattering from regge to bjorken kinematics |
| topic | Deep Inelastic Scattering or Small-X Physics Parton Distributions |
| url | https://doi.org/10.1007/JHEP07(2022)080 |
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