Heavy-flavor PDF evolution and variable-flavor number scheme uncertainties in deep-inelastic scattering

Abstract

We consider a detailed account on the construction of the heavy-quark parton distribution functions for charm and bottom, starting from $n_f=3$ light flavors in the fixed-flavor number (FFN) scheme and by using the standard decoupling relations for heavy quarks in QCD. We also account for two-mass effects. Furthermore, different implementations of the variable-flavor-number (VFN) scheme in deep-inelastic scattering (DIS) are studied, with the particular focus on the resummation of large logarithms in $Q^2/m_h^2$, the ratio the virtuality of the exchanged gauge-boson $Q^2$ to the heavy-quark mass squared $m_h^2$. A little impact of resummation effects if found in the kinematic range of the existing data on the DIS charm-quark production so that they can be described very well within the FFN scheme. Finally, we study the theoretical uncertainties associated to the VFN scheme, which manifest predominantly at small $Q^2$.

arXiv comment20 pages, 12 figures

References in corpus (35)

• Parton distributions from high-precision collider data
• Parton distributions in the LHC era: MMHT 2014 PDFs
• The Three-Loop Splitting Functions in QCD: The Singlet Case
• Leptoproduction of Heavy Quarks II -- A Unified QCD Formulation of Charged and Neutral Current Processes from Fixed-target to Collider Energies
• Parton Distribution Functions, ${\alpha }_s$ and Heavy-Quark Masses for LHC Run II
• The third-order QCD corrections to deep-inelastic scattering by photon exchange
• Parton distribution functions and benchmark cross sections at NNLO
• QCD Decoupling at Four Loops
• Heavy quarks in deep-inelastic scattering
• Four-Loop Decoupling Relations for the Strong Coupling
• Charm electroproduction viewed in the variable-flavour number scheme versus fixed-order perturbation theory
• The 3-, 4-, and 5-flavor NNLO Parton from Deep-Inelastic-Scattering Data and at Hadron Colliders
• An Ordered Analysis of Heavy Flavour Production in Deep Inelastic Scattering
• A Variable-Flavour Number Scheme for NNLO
• Heavy quark coefficient functions at asymptotic values $Q^2\gg m^2$
• Treatment of Heavy Quarks in Deeply Inelastic Scattering
• Open Heavy Flavor Production in QCD -- Conceptual Framework and Implementation Issues
• Mellin Moments of the {$O({\alpha }_s^3$)} Heavy Flavor Contributions to unpolarized Deep-Inelastic Scattering at $Q^2\gg m^2$ and Anomalous Dimensions
• A Critical Appraisal and Evaluation of Modern PDFs
• The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function $F_2(x,Q^2)$ and the Anomalous Dimension
• Two-Loop Massive Operator Matrix Elements and Unpolarized Heavy Flavor Production at Asymptotic Values Q^2 >> m^2
• The Gluonic Operator Matrix Elements at O(α_s^2) for DIS Heavy Flavor Production
• The O(α_s^3) Massive Operator Matrix Elements of O(n_f) for the Structure Function F_2(x,Q^2) and Transversity
• Heavy-quark deep-inelastic scattering with a running mass
• The Transition Matrix Element A_{gq}(N) of the Variable Flavor Number Scheme at O(α_s^3)
• General-mass treatment for deep inelastic scattering at two-loop accuracy
• On the next-to-next-to-leading order QCD corrections to heavy-quark production in deep-inelastic scattering
• Three Loop Massive Operator Matrix Elements and Asymptotic Wilson Coefficients with Two Different Masses
• Simultaneous decoupling of bottom and charm quarks
• Nuclear Effects in the Deuteron and Constraints on the d/u Ratio
• The two-mass contribution to the three-loop pure singlet operator matrix element
• The effect on PDFs and ${\alpha }_S(M_Z^2)$ due to changes in flavour scheme and higher twist contributions
• The Variable Flavor Number Scheme at Next-to-Leading Order
• The Two-mass Contribution to the Three-Loop Gluonic Operator Matrix Element $A_{gg,Q}^{(3)}$
• Impact of the heavy quark matching scales in PDF fits

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