Master integrals for splitting functions from differential equations in QCD

@article{Gituliar2015MasterIF,
  title={Master integrals for splitting functions from differential equations in QCD},
  author={O. Gituliar},
  journal={Journal of High Energy Physics},
  year={2015},
  volume={2016},
  pages={1-18}
}
  • O. Gituliar
  • Published 2015
  • Physics
  • Journal of High Energy Physics
A bstractA method for calculating phase-space master integrals for the decay process 1 → n masslesspartonsinQCDusingintegration-by-partsanddifferentialequationstechniques is discussed. The method is based on the appropriate choice of the basis for master integrals which leads to significant simplification of differential equations. We describe an algorithm how to construct the desirable basis, so that the resulting system of differential equations can be recursively solved in terms of (G) HPLs… Expand

Figures from this paper

Fuchsia and master integrals for splitting functions from differential equations in QCD
Five-particle phase-space integrals in QCD
Five-Particle Phase-Space Integrals in QCD.
Unitarity methods for Mellin moments of Drell-Yan cross sections
...
1
2
...

References

SHOWING 1-10 OF 74 REFERENCES
Multiloop integrals in dimensional regularization made simple.
  • J. Henn
  • Mathematics, Medicine
  • Physical review letters
  • 2013
Lectures on differential equations for Feynman integrals
A novel subtraction scheme for double-real radiation at NNLO
Integration by parts: The algorithm to calculate β-functions in 4 loops
Reducing differential equations for multiloop master integrals
Four-particle phase space integrals in massless QCD
...
1
2
3
4
5
...