期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 7, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP07(2022)080
关键词
Deep Inelastic Scattering or Small-X Physics; Parton Distributions
资金
- U.S. Department of Energy, Office of Science, Office of Nuclear Physics [DE-SC0012704]
- RHIC Physics Fellow Program of the RIKEN BNL Research Center
We propose a new semi-classical approach to high energy factorization for gluon mediated inclusive Deep Inelastic Scattering (DIS), which takes into account the longitudinal extent of the target. We derive a factorization formula based on a partial twist expansion and introduce a new gauge invariant unintegrated gluon distribution which depends explicitly on the Feynman x variable.
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.
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