The asymptotic behavior of the heavy quark form factors at higher order

Abstract

In the asymptotic limit $Q^2\gg m^2$, the heavy quark form factors exhibit Sudakov behavior. We study the corresponding renormalization group equations of the heavy quark form factors which do not only govern the structure of infrared divergences, but also control the high energy logarithms. This enables us to obtain the complete logarithmic three--loop and partial four--loop contributions to the heavy quark form factors in perturbative Quantum Chromodynamics.

23 pages LATEX

References in corpus (26)

• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• The five-loop beta function of Yang-Mills theory with fermions
• Quark mass relations to four-loop order
• Higher-Order threshold effects to inclusive processes in QCD
• The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
• Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
• On quartic colour factors in splitting functions and the gluon cusp anomalous dimension
• Two-loop QED corrections to Bhabha scattering
• Drell-Yan Production at Threshold to Third Order in QCD
• Large-nf Contributions to the Four-Loop Splitting Functions in QCD
• The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function $F_2(x,Q^2)$ and Transversity
• Five-loop quark mass and field anomalous dimensions for a general gauge group
• The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function $F_2(x,Q^2)$ and the Anomalous Dimension
• The three-loop cusp anomalous dimension in QCD
• The Massive Soft Anomalous Dimension Matrix at Two Loops
• Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order
• The Logarithmic Contributions to the O(α_s^3) Asymptotic Massive Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic Scattering
• The QCD form factor of heavy quarks at NNLO
• The $n_f^2$ contributions to fermionic four-loop form factors
• Three Loop Massive Operator Matrix Elements and Asymptotic Wilson Coefficients with Two Different Masses
• The Heavy Quark Form Factors at Two Loops
• Higgs boson production through $b\bar{b}$ annihilation at threshold in N${}^3$LO QCD
• Heavy Quark Form Factors at Three Loops in the Planar Limit
• Massive three-loop form factor in the planar limit
• Four-loop wave function renormalization in QCD and QED
• Three-loop massive form factors: complete light-fermion and large-$N_c$ corrections for vector, axial-vector, scalar and pseudo-scalar currents

Cited by in corpus (9)

• Automated Solution of First Order Factorizable Systems of Differential Equations in One Variable
• Massive vector form factors to three loops
• The Heavy Fermion Contributions to the Massive Three Loop Form Factors
• On the relation between the $\overline{\mathrm{MS}}$ and the kinetic mass of heavy quarks
• Towards muon-electron scattering at NNLO
• The SAGEX Review on Scattering Amplitudes, Chapter 4: Multi-loop Feynman Integrals
• Consistent treatment of rapidity divergence in soft-collinear effective theory
• Three loop QCD corrections to heavy quark form factors
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan