The Variable Flavor Number Scheme at Next-to-Leading Order

Abstract

We present the matching relations of the variable flavor number scheme at next-to-leading order, which are of importance to define heavy quark partonic distributions for the use at high energy colliders such as Tevatron and the LHC. The consideration of the two-mass effects due to both charm and bottom quarks, having rather similar masses, are important. These effects have not been considered in previous investigations. Numerical results are presented for a wide range of scales. We also present the corresponding contributions to the structure function $F_2(x,Q^2)$.

10 pages LATEX, 6 Figures

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• The two-mass contribution to the three-loop pure singlet operator matrix element
• The Two-mass Contribution to the Three-Loop Gluonic Operator Matrix Element $A_{gg,Q}^{(3)}$
• Heavy flavour corrections to polarised and unpolarised deep-inelastic scattering at 3-loop order

Cited by in corpus (25)

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• Bottom-flavored inclusive emissions in the variable-flavor number scheme: A high-energy analysis
• The three-loop single mass polarized pure singlet operator matrix element
• NNLO QCD$\oplus$QED corrections to Higgs production in bottom quark annihilation
• The Polarized Transition Matrix Element $A_{gq}(N)$ of the Variable Flavor Number Scheme at $O({\alpha }_s^3)$
• The Two-mass Contribution to the Three-Loop Gluonic Operator Matrix Element $A_{gg,Q}^{(3)}$
• Next-to-Leading Order QCD Corrections to Inclusive Heavy-Flavor Production in Polarized Deep-Inelastic Scattering
• The three-loop polarized pure singlet operator matrix element with two different masses
• b-Hadron production in the general-mass variable-flavour-number scheme and LHC data
• The Unpolarized and Polarized Single-Mass Three-Loop Heavy Flavor Operator Matrix Elements $A_{gg,Q}$ and $\Delta A_{gg,Q}$
• The Logarithmic Contributions to the Polarized and Operator Matrix Elements in Deeply Inelastic Scattering
• The Two-mass Contribution to the Three-Loop Polarized Operator Matrix Element $A_{gg,Q}^{(3)}$
• High-energy QCD dynamics from bottom flavor fragmentation at the Hi-Lumi LHC
• The first-order factorizable contributions to the three-loop massive operator matrix elements $A_{Qg}^{(3)}$ and $\Delta A_{Qg}^{(3)}$
• Higgs pair production from bottom quark annihilation to NNLO in QCD
• The SAGEX Review on Scattering Amplitudes, Chapter 4: Multi-loop Feynman Integrals
• $O({\alpha }_s^2$) Polarized Heavy Flavor Corrections}to Deep-Inelastic Scattering at $Q^2\gg m^2$
• Heavy-flavor PDF evolution and variable-flavor number scheme uncertainties in deep-inelastic scattering
• An FONLL prescription with coexisting flavor number PDFs
• Effect of the parameterization of the distribution functions on the longitudinal structure function at small $x$
• Quark mass effects in double parton distributions
• Heavy quark structure functions from unifying the color dipole picture and double asymptotic scaling approaches
• Influence of gluon behavior on heavy-quark pair production
• Collinear approach for top quark production at ep colliders
• Differential Heavy Quark Distributions and Correlations in Longitudinally Polarized Deep-Inelastic Scattering