On the next-to-next-to-leading order QCD corrections to heavy-quark production in deep-inelastic scattering

Abstract

The contribution of quarks with masses m >> Lambda_QCD is the only part of the structure functions in deep-inelastic scattering (DIS) which is not yet known at the next-to-next-to-leading order (NNLO) of perturbative QCD. We present improved partial NNLO results for the most important structure function F_2(x,Q^2) near the partonic threshold, in the high-energy (small-x) limit and at high scales Q^2 >> m^2; and employ these results to construct approximations for the gluon and quark coefficient functions which cover the full kinematic plane. The approximation uncertainties are carefully investigated, and found to be large only at very small values, x smaller about 10^-3, of the Bjorken variable.

62 pages, LaTeX, 13 figures. Erratum for eq.(B.7)

References in corpus (13)

• Parton distributions for the LHC
• Theoretical status and prospects for top-quark pair production at hadron colliders
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• 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
• Heavy-quark mass dependence in global PDF analyses and 3- and 4-flavour parton distributions
• Threshold Resummation for Top-Pair Hadroproduction to Next-to-Next-to-Leading Log
• Two-Loop Massive Operator Matrix Elements and Unpolarized Heavy Flavor Production at Asymptotic Values Q^2 >> m^2
• Top-quark pair production near threshold at LHC
• Bound-state Effects on Top Quark Production at Hadron Colliders
• Two--Loop Massive Operator Matrix Elements for Unpolarized Heavy Flavor Production to $O(ε)
• Heavy Quark Pair Production near Threshold with Potential Non-Relativistic QCD
• Towards all-order Laurent expansion of generalized hypergeometric functions around rational values of parameters
• Higher order QCD corrections to charged-lepton deep-inelastic scattering and global fits of parton distributions

Cited by in corpus (49)

• A facility to Search for Hidden Particles at the CERN SPS: the SHiP physics case
• Parton distributions from LHC, HERA, Tevatron and fixed target data: MSHT20 PDFs
• Parton Distribution Functions, ${\alpha }_s$ and Heavy-Quark Masses for LHC Run II
• The ABM parton distributions tuned to LHC data
• Higgs production in gluon fusion beyond NNLO
• Delineating parton distributions and the strong coupling
• 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
• Impact of heavy-flavour production cross sections measured by the LHCb experiment on parton distribution functions at low x
• Approximate N${}^3$LO Parton Distribution Functions with Theoretical Uncertainties: MSHT20aN${}^3$LO PDFs
• Lepton fluxes from atmospheric charm revisited
• Precise charm-quark mass from deep-inelastic scattering
• Resummation and Matching of $b$-quark Mass Effects in $b\bar{b}H$ Production
• Parton momentum and helicity distributions in the nucleon
• Five-loop contributions to low-N non-singlet anomalous dimensions in QCD
• The Logarithmic Contributions to the O(α_s^3) Asymptotic Massive Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic Scattering
• Determination of Strange Sea Quark Distributions from Fixed-target and Collider Data
• Soft corrections to inclusive deep-inelastic scattering at four loops and beyond
• Effective field theory for radiative corrections to charged-current processes I: Vector coupling
• Neutrino Structure Functions from GeV to EeV Energies
• Charm and beauty quark masses in the MMHT2014 global PDF analysis
• The impact of the final HERA combined data on PDFs obtained from a global fit
• The effect on PDFs and ${\alpha }_S(M_Z^2)$ due to changes in flavour scheme and higher twist contributions
• QCD threshold corrections for gluino pair production at hadron colliders
• Probing the dark photon via polarized DIS scattering at the HERA and EIC
• An investigation of the ${\alpha }_S$ and heavy quark mass dependence in the MSHT20 global PDF analysis
• Next-to-Leading Order QCD Corrections to Inclusive Heavy-Flavor Production in Polarized Deep-Inelastic Scattering
• The anomalous $Zb\bar{b}$ couplings at the HERA and EIC
• Determination of the charm-quark mass in the MS-bar scheme using charm production data from deep inelastic scattering at HERA
• Transverse momentum dependent parton densities in processes with heavy quark generations
• NNLO QCD predictions for Z-boson production in association with a charm jet within the LHCb fiducial region
• Charm Production and QCD Analysis at HERA and LHC
• First Forcer results on deep-inelastic scattering and related quantities
• Heavy-flavor PDF evolution and variable-flavor number scheme uncertainties in deep-inelastic scattering
• Yadism: Yet Another Deep-Inelastic Scattering Module
• The non-first-order-factorizable contributions to the three-loop single-mass operator matrix elements $A_{Qg}^{(3)}$ and $\Delta A_{Qg}^{(3)}$
• Higher Order Heavy Quark Corrections to Deep-Inelastic Scattering
• disorder: Deep inelastic scattering at high orders
• Three-Loop Contributions to the Gluonic Massive Operator Matrix Elements at General Values of N
• Combination of aN${}^3$LO PDFs and implications for Higgs production cross-sections at the LHC
• Phenomenology of QCD threshold resummation for gluino pair production at NNLL
• General mass variable flavor number scheme for $Z$ boson production in association with a heavy quark at hadron colliders
• Determination of ${\alpha }_s$ and $m_c$ in deep-inelastic scattering
• On x-independence of RQ = FLQ/F2Q ratio at low x
• A determination of mc(mc) from HERA data using a matched heavy-flavor scheme
• Differential Heavy Quark Distributions and Correlations in Longitudinally Polarized Deep-Inelastic Scattering
• 3-Loop Corrections to the Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering
• Geometrical scaling of heavy-quark contributions in the low $x$ region
• Heavy Flavour Working Group Summary