Matching of fracture functions for SIDIS in target fragmentation region

• Published in: The journal of high energy physics Vol. 2021; no. 11; pp. 1 - 24
• Main Authors: Chen, K.B., Ma, J.P., Tong, X.B.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-11-2021; Springer Nature B.V; SpringerOpen
• Subjects: Classical and Quantum Gravitation; Decomposition; Deep Inelastic Scattering (Phenomenology); Elementary Particles; Factorization; Fragmentation; High energy physics; Inelastic scattering; Partons; Phenomenology; Physics; Physics and Astronomy; QCD Phenomenology; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Relativity Theory; Science; String Theory; Theoretical physics; Transverse momentum; Deep Inelastic Scattering (Phenomenology); QCD Phenomenology
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP11(2021)038

A
bstract
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 Λ
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 Λ
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.