https://doi.org/10.1140/epja/s10050-024-01425-0
Regular Article - Theoretical Physics
Pion-production cross sections in neutrino reactions for studying generalized parton distributions of the nucleon
1
Institute of Modern Physics, Chinese Academy of Sciences, 730000, Lanzhou, China
2
University of Chinese Academy of Sciences, 100049, Beijing, China
3
South China Normal University, 510006, Guangzhou, China
4
Department of Mathematics, Physics, and Computer Science, Faculty of Science, Japan Women’s University, Mejirodai 2-8-1, Bunkyo-ku, 112-8681, Tokyo, Japan
5
KEK Theory Center, Institute of Particle and Nuclear Studies, KEK, Oho 1-1, Tsukuba, 305-0801, Ibaraki, Japan
Received:
14
August
2024
Accepted:
28
September
2024
Published online:
17
October
2024
Spacelike and timelike generalized parton distributions (GPDs) have been investigated at charged-lepton accelerator facilities, for example, by the virtual Compton scattering and the two-photon process, respectively. In this work, we show the and production cross sections in neutrino (antineutrino) reactions for studying the GPDs of the nucleon by using the theoretical formalism of Pire, Szymanowski, and Wagner. The -production cross sections are useful for finding mainly gluon GPDs, whereas the production probes quark GPDs, although there are sizable quark-gluon interference terms in the production. In particular, we show the roles of the pion- and rho-pole terms, the contribution from each GPD term (H, E, , ), the effects of the gluon GPDs and , and the dependence on the energy of the process in the neutrino cross sections. These cross sections could be measured at Fermilab in future. The neutrino GPD studies will play a complementary role to the projects of charged-lepton and hadron reactions for determining the accurate GPDs.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.