# 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} }

## 29 Citations

### Three-Loop Heavy Quark Form Factors and Their Asymptotic Behavior

- PhysicsSpringer Proceedings in Physics
- 2021

A summary of the calculation of the color-planar and complete light quark contributions to the massive three-loop form factors is presented. Here a novel calculation method for the Feynman integrals…

### Three loop QCD corrections to heavy quark form factors

- PhysicsJournal of Physics: Conference Series
- 2020

Higher order calculations in perturbative Quantum Field Theories often produce coupled linear systems of differential equations which factorize to first order. Here we present an algorithm to solve…

### Asymptotic behavior of the heavy quark form factors at higher order

- PhysicsPhysical Review D
- 2019

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…

### Massive Vector Form Factors to Three Loops.

- PhysicsPhysical review letters
- 2022

We compute the three-loop nonsinglet corrections to the photon-quark form factors taking into account the full dependence on the virtuality of the photon and the quark mass. We combine the method of…

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

- Physics, GeologyJournal 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…

### Massive two-loop heavy particle diagrams

- MathematicsPhysical Review D
- 2022

We determine the master integrals for vertex and propagator diagrams that appear in effective field theories containing heavy fields. The integrals involve at least one heavy line, and the standard…

### Massive form factors at O( 𝜶 3 𝒔 )

- Physics
- 2022

We report on our recent calculation of massive quark form factors using a semi-numerical approach based on series expansions of the master integrals around singular and regular kinematic points and…

### The complete singlet contribution to the massless quark form factor at three loops in QCD

- PhysicsJournal of High Energy Physics
- 2021

Abstract
It is well known that the effect of top quark loop corrections in the axial part of quark form factors (FF) does not decouple in the large top mass or low energy limit due to the presence…

### Singlet and nonsinglet three-loop massive form factors

- PhysicsPhysical Review D
- 2022

We consider Quantum Chromodynamics with external vector, axial-vector, scalar and pseudo-scalar currents and compute three-loop corrections to the corresponding vertex function taking into account…

## 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, GeologyJournal 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.

- PhysicsPhysical 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…