Heavy quarks structure functions $F_2^{q\bar{q}}(x,Q^2)$ and $F_L^{q\bar{q}}(x,Q^2)$ at the NLO approximation

Abstract

We provide compact formulas for the heavy quarks structure functions $F_2^{q\bar{q}}(x,Q^2)$ and $F_L^{q\bar{q}}(x,Q^2)$, with $q=c,b$ and $t$, in $e^{-}p$ interaction with respect to the behavior of the gluon density at the next-to-leading order (NLO) approximation and present ratios $R^{q\bar{q}}=F_L^{q\bar{q}}/F_2^{q\bar{q}}$ for these quarks. To do this, we obtain a fitted form of the heavy quark coefficient functions for deep-inelastic lepton-hadron scattering at a wide range of $Q^2$ values. The obtained numerical results are compared with experimental data from HERA and with the results from the KLN model and the MSTW2008 predictions.

15 pages and 12 figures

References in corpus (6)

• Parton distributions for the LHC
• Measurement of beauty and charm production in deep inelastic scattering at HERA and measurement of the beauty-quark mass
• Heavy-quark contributions to the ratio F_L/F_2 at low x
• On the Perturbative Stability of the QCD Predictions for the Ratio $R=F_L/F_T$ in Heavy-Quark Leptoproduction
• Charm and longitudinal structure functions with the Kharzeev-Levin-Nardi model
• Top structure function at the LHeC

Cited by in corpus (1)

• Heavy quark structure functions from unifying the color dipole picture and double asymptotic scaling approaches