Abstract
The single longitudinal spin asymmetry $A_{UL}^{\sin(2\phi_h-2\phi_R)}$ of dihadron production in semi-inclusive deep inelastic scattering (SIDIS) is examined through helicity-dependent dihadron fragmentation function (DiFF) $G_1^\perp$. The correlation of the longitudinal polarization of a fragmenting quark with the transverse momenta of the produced hadron pair is illustrated by this DiFF. The experimental investigation for this azimuthal asymmetry in dihadron SIDIS by the COMPASS Collaboration has lately yielded a very small signal. Here, the unknown T-odd dihadron fragmentation function $G_1^\perp$ utilizing a spectator model is computed. The model has been successfully used to describe the dihadron production in both the unpolarized and the single polarized processes to access the asymmetry and clarify why the signal is very small. The transverse momentum dependent factorization method, in which the transverse momentum of the final state hadron pair is left unintegrated, has been considered. The $\sin(2\phi_h-2\phi_R)$ asymmetry at the COMPASS kinematics is estimated and we compare it with the data. Besides, the predictions on the same asymmetry are also made at the HERMES and Electron Ion Collider.
Highlights
In the hadronization process, there is a nonvanishing probability that at a hard scale a highly virtual parton fragments into two hadrons inside a same jet
The dihadron fragmentation function (DiFF) were introduced for the first time in Ref. [1] and their evolution equations have been investigated in Refs. [2,3,4]
II we review the theoretical framework of the sinð2φh − 2φRÞ azimuthal asymmetry of dihadron production in unpolarized muon beam scattered off a longitudinally polarized proton target
Summary
There is a nonvanishing probability that at a hard scale a highly virtual parton fragments into two hadrons inside a same jet. To access the transversity distribution in a more convenient way, an alternative approach considering dihadron SIDIS came to notice which only needs collinear factorization Among this mechanism, the chiral-odd DiFF H∢1 [7,12] couples with h1 at the leading-twist level. The COMPASS collaboration [33] collected the experimental data of various azimuthal asymmetries by scattering longitudinally polarized muons off longitudinally polarized protons These azimuthal asymmetries appear within the TMD factorization framework, where a sinðφh − φRÞ modulation has been studied in the spectator model [24]. We will consider azimuthal asymmetries of SIDIS process with unpolarized muons scattering off longitudinally polarized nucleon target
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