Speaker
Description
In the target fragmentation region of Semi-Inclusive Deep Inelastic Scattering, the diffractively produced hadron has small transverse momentum. If it is at order of $\Lambda_{\rm QCD}$, it prevents to make predictions with the standard collinear factorization. However, in this case, differential cross-sections can be predicted by the factorization with fracture functions, diffractive parton distributions. If the transverse momentum is much larger than $\Lambda_{\rm QCD}$ but much smaller than $Q$ which is the virtuality of the virtual photon, both factorizations apply. In this case, fracture functions can be factorized with collinear parton distributions and fragmentation functions. In this talk, we will present a study on this factorization up to twist-3 level. The gauge invariance of the results will be addressed. This study is helpful for modeling fracture functions and useful for resummation of large logarithm of the transverse momentum appearing in collinear factorization.
