Phenomenology of diffractive DIS in the framework of fracture functions and determination of diffractive parton distribution functions

Abstract

The goal of this study is to determine a set of diffractive parton distribution function (diffractive PDFs) from a QCD analysis of all available and up-to-date diffractive deep inelastic scattering (diffractive DIS) data sets from HERA $ep$ collider, including the most recent H1 and ZUES combined inclusive diffractive cross section measurements. This extraction of diffractive PDFs, referred to as {\tt HK19-DPDF}, is performed at next-to-leading (NLO) and next-to-next-to-leading (NNLO) in perturbative QCD. This new determination of diffractive PDFs is based on the fracture functions methodology, a QCD framework designed to provide a statistically sound representation of diffractive DIS processes. Heavy quark contributions to the diffractive DIS are considered within the framework of the FONLL general mass variable flavor number scheme (GM-VFNS) and the "Hessian approach" is used to determine the uncertainties of diffractive PDFs. We discuss the novel aspects of the approach used in the present analysis, namely an optimized and flexible parametrization of the diffractive PDFs as well as a strategy based on the fully factorization theorem for diffractive hard processes. We then present the diffractive PDFs, and discuss the fit quality and the stability upon variations of the kinematic cuts and the fitted data sets. We find that the systematic inclusion of higher-order QCD corrections could improves the description of the data. We compare the extracted sets of diffractive PDFs based on the fracture functions approach to other recent sets of diffractive PDFs, finding in general very good agreements.

21 pages, 9 figures and 7 Tables

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Cited by in corpus (13)

• The Large Hadron-Electron Collider at the HL-LHC
• Selected topics in diffraction with protons and nuclei: past, present, and future
• Determination of diffractive PDFs from global QCD analysis of inclusive diffractive DIS and dijet cross-section measurements at HERA
• Twist-3 Contributions in Semi-Inclusive DIS in the Target Fragmentation Region
• How large is the diffractive contribution to inclusive dijet photoproduction in UPCs at the LHC?
• The color dipole model bounds with the gluon-gluon recombination correction
• Nonlinear corrections on the parameterization methods
• Effect of the parameterization of the distribution functions on the longitudinal structure function at small $x$
• Gluonic contributions to semi-inclusive DIS in the target fragmentation region
• Influence of gluon behavior on heavy-quark pair production
• Effective Field Theory Factorization for Diffraction
• A hybrid model for multi-particle production and multi-fragment emission in electron-nucleus collisions at the forthcoming Electron-Ion Collider
• A global QCD analysis of diffractive parton distribution function considering higher twist corrections within the xFitter framework