Corpus ID: 116997514

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}
}
  • J. Gluza, T. Riemann
  • Published 18 December 2007
  • Mathematics, Physics
  • arXiv: High Energy Physics - Phenomenology
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

New results for loop integrals: AMBRE, CSectors, hexagon
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
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
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
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
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
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
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.
TLDR
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
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
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
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
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.
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
...
1
2
3
4
...