| The study for the internal structure of nucleon and the hadronization process that a parton fragments into one or two hadrons remains one of the most challenging task in particle physics.The most typical process to study these two part physics is semi-inclusive deep inelastic scattering(SIDIS).In general,people apply transverse momentum dependent(TMD)factorization framework for SIDIS process,i.e.decompose the differential cross section of SIDIS into a perturbatively calculated partonic cross section and a nonperturbative part.Among them the nonperturbative part contains TMD distribution functions describing the structure of nucleon and TMD fragmentation functions describing the hadronization process.In experiment,it is possible to obtain informations of these distribution functions and fragmentation functions by measuring various spin azimuthal asymmetries in SIDIS process.In addition,the hadronization process that parton fragments into two hadrons is interesting,it is dihadron fragmentation functions that describe these hadronization process.Similarly,in experiment,it is possible to obtain informations of fragmentation functions by measuring various spin azimuthal asymmetries in dihadron SIDIS process.In this thesis,from a theoretical perspective,we study some spin azimuthal asymmetries in single hadron or two hadrons SIDIS process.The specific research contents are as follows:By properly prompting a diquark spectator model,we calculate the dihadron fragmentation function G1⊥,OT.Applying the partial wave expansion approach,one can find that G1⊥,OT comes from the interference contribution of s-wave and p-wave hadron pairs.We find that it is nescessary to introduce loop contributions for obtaining a nonvanishing G1⊥,OT.Then with the model calculation result of G1⊥,OT,we have investigated the sin(φh-φR)asymmetry in dihadron SIDIS process and compared with the COMPASS measurements.The comparison results show that both theoretical and experimental results for the asymmetry approach zero.Similarly,we have also investigated the sin(2φh-2φR)asymmetry in dihadron SIDIS process.In addition,we have predicted the cos φR asymmetry in dihadron SIDIS within the collinear factorization framework.It is the twist three dihadron fragmentation function(?)that enters this asymmetry.By considering the gluon rescattering effect contributing to the quark-gluonquark correlator,we have obtained the model calculation result of this dihadron fragmentation function.After comparing with the COMPASS measurements,we find that the theoretical and experimental results agree very well,and both of them give out relatively large asymmetry.We have studied the single spin asymmetry AUTsin(φh-φS)in SIDIS process.Among this work we have applied the frameworks of TMD factorization and TMD evolution,and have adopted coefficient functions up to next-to-leading order logarithm.We have used the evolution formula of Qiu-Sterman function,evoluting its parameterization in a intial scale Q0 into another scale.Similarly,we consider the timelike evolution of the unpolarized fragmentation function.In the HERMES and COMPASS kinematics,we have respectively obtained the Sivers asymmetry as distirbutions of xB,zh and Ph⊥.After comparing with COMPASS and HERMES measurements,we find that the theoretical and experimental results of Sivers asymmetry agree very well,and the theoretical predictions are better than those without considering TMD evolution.By properly prompting a scalar spectator model,we have calculated four T-odd generalized TMD distribution functions,one quasi TMD distribution function and one quasi generalized parton distribution.To obtain nonvanishing results,we need consider the contributions from one loop correction.Then in different skewness ξ and total momentum transfer |△T|,we have given out four generalized TMD distribution functions as distributions of transverse momentum and momentum branching ratio.As for lattice calculations from first principles,the model calculation results of these functions will play a guiding role to some extent. |
