Matching of Fracture Functions for SIDIS in Target Fragmentation Region

Abstract

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 ${\Lambda }_{QCD}$, 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 ${\Lambda }_{QCD}$ 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. We study the factorization up to twist-3 level and obtain gauge invariant results. They will be helpful for modeling fracture functions and useful for resummation of large logarithm of the transverse momentum appearing in collinear factorization.

arXiv commentPublished version

References in corpus (22)

• Semi-inclusive deep inelastic scattering at small transverse momentum
• QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum
• Electron-Ion Collider in China
• QCD Factorization for Spin-Dependent Cross Sections in DIS and Drell-Yan Processes at Low Transverse Momentum
• Single Transverse-Spin Asymmetries in Hadronic Pion Production
• Proof of Factorization for Diffractive Hard Scattering
• On the analysis of lepton scattering on longitudinally or transversely polarized protons
• Twist-3 Formalism for Single Transverse Spin Asymmetry Reexamined: Semi-Inclusive Deep Inelastic Scattering
• Single Transverse Spin Asymmetry for Large-p_T Pion Production in Semi-Inclusive Deep Inelastic Scattering
• Diffractive Hard Scattering with a Coherent Pomeron
• One-Particle Inclusive Processes in Deeply Inelastic Lepton-Nucleon Scattering
• Behavior of Diffractive Parton Distribution Functions
• Contribution of Twist-3 Multi-Gluon Correlation Functions to Single Spin Asymmetry in Semi-Inclusive Deep Inelastic Scattering
• Polarized Structure Functions in QCD
• Scale dependence of the chiral-odd twist-3 distributions $h_L(x)$ and $e(x)$
• SIDIS in the target fragmentation region: polarized and transverse momentum dependent fracture functions
• Master Formula for the Three-Gluon Contribution to Single Spin Asymmetry in Semi-Inclusive Deep Inelastic Scattering
• First global next-to-leading order determination of diffractive parton distribution functions and their uncertainties within the {\tt xFitter} framework
• An Analysis of the Next-to-Leading Order Corrections to the g_T(=g_1+g_2) Scaling Function
• NLO Semi-inclusive Drell-Yan cross-section in Quantum ChromoDynamics as a Factorization Analyzer
• Fracture Functions in Different Kinematic Regions and Their Factorizations
• Associated production of one particle and a Drell-Yan pair in hadronic collisions