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Reconstruction of non-forward evolution kernels
Institution:1. Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany;2. INFN, Sezione di Firenze, Largo E. Fermi 2, 50125 Firenze, Italy;1. Institut Européen des Membranes, IEM – UMR 5635, ENSCM, CNRS, Univ Montpellier, Montpellier, France;2. Institut de Chimie des Milieux et Matériaux de Poitiers (IC2MP – UMR CNRS 7285), Université de Poitiers, Ecole Nationale Supérieure d’Ingénieurs de Poitiers, 7 Rue Marcel Doré, Bâtiment 16, TSA 41105, 86073, Poitiers Cedex 9, France;1. Centre for High Energy Physics, Indian Institute of Science, Bangalore-560012, Karnataka, India;2. Physik-Institut, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland;1. Industrial Chair on Drinking Water, Department of Civil, Geological and Mining Engineering, École Polytechnique de Montréal, QC H3C 3A7, Canada;2. Department of Chemical Engineering, École Polytechnique de Montréal, QC H3C 3A7, Canada;1. Department of Environmental Engineering, Inha University, Namgu Yonghyun Dong 253, Incheon, Republic of Korea;2. Institut Européen des Membranes, IEM, UMR-5635, Université de Montpellier, ENSCM, CNRS,Place Eugène Bataillon, 34095 Montpellier Cedex 5, France;1. Institute for Future Environments, Queensland University of Technology (QUT), Brisbane, Queensland, Australia;2. School of Chemistry, Physics & Mechanical Engineering, Science and Engineering Faculty, Queensland University of Technology (QUT), Brisbane, Queensland, Australia;1. Industrial Chair on Drinking Water, Department of Civil, Geological and Mining Engineering, École Polytechnique de Montréal, QC, H3C 3A7, Canada;2. Department of Chemical Engineering, École Polytechnique de Montréal, QC, H3C 3A7, Canada;3. Department of Civil Engineering and Geosciences, Delft University of Technology, P.O.Box 5048, 2600GA Delft, Netherlands
Abstract:We develop a framework for the reconstruction of the non-forward kernels which govern the evolution of twist-two distribution amplitudes and off-forward parton distributions beyond leading order. It is based on the knowledge of the special conformal symmetry breaking part induced by the one-loop anomaly and conformal terms generated by forward next-to-leading order splitting functions, and thus avoids an explicit two-loop calculation. We demonstrate the formalism by applying it to the chiral odd and flavour singlet parity odd sectors.
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