# Heavy quark form factors at three loops in the planar limit

```@article{Ablinger2018HeavyQF,
title={Heavy quark form factors at three loops in the planar limit},
author={Jakob Ablinger and Johannes Blumlein and Peter Marquard and Narayan Rana and Carsten Schneider},
journal={Physics Letters B},
year={2018}
}```
• Published 19 April 2018
• Physics
• Physics Letters B

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## References

SHOWING 1-10 OF 105 REFERENCES

### Heavy quark form factors at two loops

• Physics
• 2018
We compute the two-loop QCD corrections to the heavy quark form factors in case of the vector, axial-vector, scalar and pseudo-scalar currents up to second order in the dimensional parameter

### The QCD form factor of heavy quarks at NNLO

• Physics
• 2009
We present an analytical calculation of the two-loop QCD corrections to the electromagnetic form factor of heavy quarks. The two-loop contributions to the form factor are reduced to linear

### Three-loop massive form factors: complete light-fermion and large-Nc corrections for vector, axial-vector, scalar and pseudo-scalar currents

• Physics, Geology
Journal of High Energy Physics
• 2018
A bstractWe compute the three-loop QCD corrections to the massive quark form factors with external vector, axial-vector, scalar and pseudo-scalar currents. All corrections with closed loops of

### High energy behaviour of form factors

• Physics, Geology
• 2017
A bstractWe 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

### Three loop cusp anomalous dimension in QCD.

• Physics
Physical review letters
• 2015
With this result, infrared divergences of planar scattering processes with massive particles can be predicted to that order and a closely related quantity in terms of an effective coupling defined by the lightlike cusp anomalies dimension is defined.

### Four-loop wave function renormalization in QCD and QED

• Physics
• 2018
We compute the on-shell wave function renormalization constant to four-loop order in QCD and present numerical results for all coefficients of the SU\$(N_c)\$ colour factors. We extract the four-loop

### Analytic results for planar three-loop integrals for massive form factors

• Geology
• 2016
A bstractWe use the method of differential equations to analytically evaluate all planar three-loop Feynman integrals relevant for form factor calculations involving massive particles. Our results