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- W4386755364 abstract "There are three types of fragmentation functions (FFs) which are used to describe the twist-3 cross sections of the hard semi-inclusive processes under QCD collinear factorization, and they are called intrinsic, kinematical, and dynamical FFs. In this work, we investigate the theoretical relations among these FFs for a tensor-polarized spin-1 hadron. Three Lorentz-invariance relations (LIRs) are derived by using the identities between the nonlocal quark-quark and quark-gluon-quark operators, which guarantee the frame independence of the twist-3 spin observables. The QCD equation of motion (e.o.m.) relations are also presented for the tensor-polarized FFs. In addition, we also show that the intrinsic and kinematical twist-3 FFs can be decomposed into the contributions of twist-2 FFs and twist-3 three-parton FFs, and the latter are also called dynamical FFs. If one neglects the dynamical FFs, we can obtain relations which are analogous to the Wandzura-Wilczek (WW) relation. Then, the intrinsic and kinematical twist-3 FFs are expressed in terms of the leading-twist ones. Since the FFs of a spin-1 hadron can be measured at various experimental facilities in the near future, these theoretical relations will play an important role in the analysis of the collinear tensor-polarized FFs." @default.
- W4386755364 created "2023-09-15" @default.
- W4386755364 creator A5051688403 @default.
- W4386755364 date "2023-09-13" @default.
- W4386755364 modified "2023-09-30" @default.
- W4386755364 title "Novel relations for twist-3 tensor-polarized fragmentation functions in spin-1 hadrons" @default.
- W4386755364 doi "https://doi.org/10.48550/arxiv.2309.06757" @default.
- W4386755364 hasPublicationYear "2023" @default.
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