High energy behaviour of form factors

Abstract

We solve renormalization group equations that govern infrared divergences of massless and massive form factors. By comparing to recent results for planar massive three-loop and massless four-loop form factors in QCD, we give predictions for the high-energy limit of massive form factors at the four- and for the massless form factor at five-loop order. Furthermore, we discuss the relation which connects infrared divergences regularized dimensionally and via a small quark mass and extend results present in the literature to higher order.

21 pages

References in corpus (8)

• Quark and gluon form factors to three loops
• Higher-Order threshold effects to inclusive processes in QCD
• Two-loop QED corrections to Bhabha scattering
• Four-loop photon quark form factor and cusp anomalous dimension in the large-$N_c$ limit of QCD
• Three-Loop Chromomagnetic Interaction in HQET
• The QCD form factor of heavy quarks at NNLO
• Massive three-loop form factor in the planar limit
• QCD Radiative Corrections to Higgs Physics

Cited by in corpus (15)

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• Four-Loop Nonplanar Cusp Anomalous Dimension in N=4 Supersymmetric Yang-Mills Theory
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• The Heavy Fermion Contributions to the Massive Three Loop Form Factors
• Heavy Quark Form Factors at Three Loops in the Planar Limit
• Three-loop massive form factors: complete light-fermion and large-$N_c$ corrections for vector, axial-vector, scalar and pseudo-scalar currents
• The asymptotic behavior of the heavy quark form factors at higher order
• Massive three-loop form factors: anomaly contribution
• Three-loop massive form factors: complete light-fermion corrections for the vector current
• Rapidity distribution at soft-virtual and beyond for n-colorless particles to N${}^4$LO in QCD
• Two-loop Vertices with Vacuum Polarization Insertion
• Consistent treatment of rapidity divergence in soft-collinear effective theory
• Three loop QCD corrections to heavy quark form factors
• Singlet and non-singlet three-loop massive form factors
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan