Fetching the paper…
Reading the bibliography…
We present the computation of a full set of planar five-point two-loop master integrals with one external mass.
1901
Earlier work this paper cites.
1901
Earlier work this paper cites.
1901
Earlier work this paper cites.
1902
Earlier work this paper cites.
1903
Earlier work this paper cites.
1904
Earlier work this paper cites.
1905
Earlier work this paper cites.
1906
Earlier work this paper cites.
1906
Earlier work this paper cites.
1906
Earlier work this paper cites.
1907
Earlier work this paper cites.
1907
Earlier work this paper cites.
1907
Earlier work this paper cites.
1908
Earlier work this paper cites.
C. G. Papadopoulos and C. Wever, Internal Reduction method for computing Feynman Integrals , JHEP 02
1910
Earlier work this paper cites.
1910
Earlier work this paper cites.
1911
Earlier work this paper cites.
1911
Earlier work this paper cites.
1912
Earlier work this paper cites.
1912
Earlier work this paper cites.
O. Steinmann, Über den Zusammenhang zwischen den Wightmanfunktionen und den retardierten Kommutatoren , Ph.D. thesis, ETH Zurich, 1960
1960
Earlier work this paper cites.
N. Byers and C. N. Yang, Physical Regions in Invariant Variables for n Particles and the Phase-Space Volume Element , Rev. Mod. Phys. 36
1964
Earlier work this paper cites.
D. Shanks, Five number-theoretic algorithms , in Proceedings of the Second Manitoba Conference on Numerical Mathematics (Winnipeg), 1973 , 1973
1973
Earlier work this paper cites.
K. E. Cahill and H. P. Stapp, OPTICAL THEOREMS AND STEINMANN RELATIONS , Annals Phys. 90
1975
Earlier work this paper cites.
G. H. Hardy, E. M. Wright et al., An introduction to the theory of numbers . Oxford university press, 1979
1979
Earlier work this paper cites.
K. G. Chetyrkin and F. V. Tkachov, Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops , Nucl. Phys. B192
1981
Earlier work this paper cites.
A. V. Kotikov, Differential equations method: New technique for massive Feynman diagrams calculation , Phys. Lett. B254
1991
Earlier work this paper cites.
A. V. Kotikov, Differential equation method: The Calculation of N point Feynman diagrams , Phys. Lett. B267
1991
Earlier work this paper cites.
Z. Bern, L. J. Dixon and D. A. Kosower, Dimensionally regulated pentagon integrals , Nucl. Phys. B412
1994
Earlier work this paper cites.
E. Remiddi, Differential equations for Feynman graph amplitudes , Nuovo Cim. A110
1997
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Differential equations for two loop four point functions , Nucl. Phys. B580
2000
Earlier work this paper cites.
2002
Earlier work this paper cites.
2002
Earlier work this paper cites.
2003
Cited alongside, same era.
D. S. Dummit and R. M. Foote, Abstract algebra , vol. 3. Wiley Hoboken, 2004
2004
Cited alongside, same era.
J. Vollinga and S. Weinzierl, Numerical evaluation of multiple polylogarithms , Comput. Phys. Commun. 167
2005
Cited alongside, same era.
2009
Cited alongside, same era.
2010
2016
Later among the works it cites.
M. Prausa, epsilon: A tool to find a canonical basis of master integrals , Comput. Phys. Commun. 219
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
L. J. Dixon, J. M. Drummond and J. M. Henn, Bootstrapping the three-loop hexagon , JHEP 11
2011
Cited alongside, same era.
J. Gluza, K. Kajda and D. A. Kosower, Towards a Basis for Planar Two-Loop Integrals , Phys. Rev. D83
2011
Cited alongside, same era.
D. Gaiotto, J. Maldacena, A. Sever and P. Vieira, Pulling the straps of polygons , JHEP 12
2011
Cited alongside, same era.
C. Duhr, H. Gangl and J. R. Rhodes, From polygons and symbols to polylogarithmic functions , JHEP 10
2012
Cited alongside, same era.
C. Duhr, Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes , JHEP 08
2012
Cited alongside, same era.
2012
Cited alongside, same era.
2012
Cited alongside, same era.
2017
Later among the works it cites.
2017
Later among the works it cites.
S. Abreu, R. Britto, C. Duhr and E. Gardi, Cuts from residues: the one-loop case , JHEP 06
2017
Later among the works it cites.
M. Zeng, Differential equations on unitarity cut surfaces , JHEP 06
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
C. Meyer, Algorithmic transformation of multi-loop master integrals to a canonical basis with canonica , Computer Physics Communications 222
2018
Later among the works it cites.
P. Wasser, Analytic properties of Feynman integrals for scattering amplitudes , Master’s thesis, Mainz U., 2018
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
2019
Later among the works it cites.
2019
Later among the works it cites.
2019
Later among the works it cites.
2019
Later among the works it cites.
2019
Later among the works it cites.
2019
Later among the works it cites.
2019
Later among the works it cites.
2019
Later among the works it cites.
2019
Later among the works it cites.