# New results for 5-point functions

@article{Gluza2007NewRF, title={New results for 5-point functions}, author={Janusz Gluza and Tord Riemann}, journal={arXiv: High Energy Physics - Phenomenology}, year={2007} }

Bhabha scattering is one of the processes at the ILC where high precision data will be expected. The complete NNLO corrections include radiative loop corrections, with contributions from Feynman diagrams with five external legs. We take these diagrams as an example and discuss several features of the evaluation of pentagon diagrams. The tensor functions are usually reduced to simpler scalar functions. Here we study, as an alternative, the application of Mellin-Barnes representations to 5-point…

## Figures from this paper

## 5 Citations

New results for loop integrals: AMBRE, CSectors, hexagon

- Physics
- 2009

We report on the three Mathematica packageshexagon, CSectors, AMBRE. They are useful for the evaluation of one- and two-loop Feynman integrals with a dependence on several kinematical scales. These…

Analytic integration of real-virtual counterterms in NNLO jet cross sections II

- Physics
- 2008

We present analytic expressions of all integrals required to complete the explicit evaluation of the real-virtual integrated counterterms needed to define a recently proposed subtraction scheme for…

Analytic integration of real-virtual counterterms in NNLO jet cross sections i

- Physics
- 2008

We present analytic evaluations of some integrals needed to give explicitly the integrated real-virtual counterterms, based on a recently proposed subtraction scheme for next-to-next-to-leading order…

A new treatment of mixed virtual and real IR-singularities

- Physics
- 2008

We discuss the determination of the infrared singularities of massive one-loop 5-point functions with Mellin-Barnes (MB) representations. Massless internal lines may lead to poles in the $\eps$…

Efficient contraction of 1-loop N-point tensor integrals

- Physics
- 2012

A new approach for the reduction of tensor integrals is described. The standard decomposition \`{a} la Davydychev is applied. Integrals with higher indices are then expressed in terms of scalar…

## References

SHOWING 1-10 OF 36 REFERENCES

Two-loop fermionic corrections to massive Bhabha scattering

- Physics
- 2007

Abstract We evaluate the two-loop corrections to Bhabha scattering from fermion loops in the context of pure quantum electrodynamics. The differential cross section is expressed by a small number of…

Fermionic NNLO contributions to Bhabha scattering

- Physics
- 2007

We derive the two-loop corrections to Bhabha scattering from heavy fermions using dispersion relations. The double-box contributions are expressed by three kernel functions. Convoluting the…

Virtual hadronic and leptonic contributions to Bhabha scattering.

- Physics, MedicinePhysical review letters
- 2008

Using dispersion relations, the complete virtual QED contributions to Bhabha scattering due to vacuum polarization effects are derived and given the first complete estimate of their net numerical effects for both small and large angle scattering at typical beam energies of meson factories, the CERN Large Electron-Positron Collider and the International Linear Collider.

Pentagon diagrams of Bhabha scattering

- Physics
- 2007

We report on tensor reduction of five point integrals needed for the evaluation of loop-by-loop corrections to Bhabha scattering. As an example we demonstrate the calculation of the rank two tensor…

Two-loop QED corrections to Bhabha scattering

- Physics
- 2007

We obtain a simple relation between massless and massive scattering amplitudes in gauge theories in the limit where all kinematic invariants are large compared to particle masses. We use this…

Automatizing the application of Mellin-Barnes representations for Feynman integrals

- Physics
- 2007

Feynman diagrams may be evaluated by Mellin-Barnes representations of their Feynman parameter integrals in d=4-2\eps dimensions. Recently, the Mathematica toolkit AMBRE has been developed for the…

AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals

- Mathematics, PhysicsComput. Phys. Commun.
- 2007

Abstract The Mathematica toolkit AMBRE derives Mellin–Barnes (MB) representations for Feynman integrals in d = 4 − 2 e dimensions. It may be applied for tadpoles as well as for multi-leg multi-loop…

Heavy-flavor contribution to Bhabha scattering.

- Physics, MedicinePhysical review letters
- 2008

We evaluate the last missing piece of the two-loop QED corrections to the high-energy electron-positron scattering cross section originating from the vacuum polarization by heavy fermions. The…

Acta Phys

- Polon. B38
- 2007

Acta Phys

- Polon. B38
- 2007