Semi-inclusive deep inelastic scattering in Wandzura-Wilczek-type approximation
1 Department of Physics, University of Connecticut, Storrs, CT 06269, U.S.A.
2 Thomas Jefferson National Accelerator Facility, Newport News, VA 23606, U.S.A.
3 Joint Institute for Nuclear Research, Dubna, 141980 Russia
4 Yerevan Physics Institute, Alikhanyan Brothers St., 375036 Yerevan, Armenia
5 INFN, Sezione di Torino, 10125 Torino, Italy
6 Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany
7 Division of Science, Penn State Berks, Reading, PA 19610, USA
8 CERN, 1211 Geneva 23, Switzerland
9 Department of Physics, New Mexico State University, Las Cruces, NM 88003-001, USA
10 Department of Theoretical Physics, University of the Basque Country UPV/EHU, 48080 Bilbao, Spain and IKERBASQUE, Basque Foundation for Science, 48013 Bilbao, Spain
11 Institute for Theoretical Physics, Universität Tübingen, D-72076 Tübingen, Germany
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Published online: 3 April 2019
We present the complete cross-section for the production of unpolarized hadrons in semi-inclusive deep-inelastic scattering up to power-suppressed O(1/Q2) terms in the Wandzura–Wilczek-type approximation which consists in systematically assuming that q̅gq–terms are much smaller than q̅q–correlators. We compute all twist-2 and twist-3 structure functions and the corresponding asymmetries, and discuss the applicability of the Wandzura–Wilczek-type approximations on the basis of available data. We make predictions that can be tested by data from Jefferson Lab, COMPASS, HERMES, and the future Electron-Ion Collider. The results of this paper can be readily used for phenomenology and for event generators, and will help to improve our understanding of the TMD theory beyond leading twist. For more details see  or slides of Anatoly Efremov talk at https://indico.jinr.ru/getFile.py/access?contribId=25&sessionId=15&resId=0&materialId=slides&confId=433.
© The Authors, published by EDP Sciences, 2019
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