Fetching the paper…
Reading the bibliography…
We compute $\epsilon$-factorized differential equations for all dimensionally-regularized integrals of the nonplanar hexa-box topology, which contribute for instance to 2-loop 5-point QCD amplitudes.
R. E. Cutkosky, Singularities and discontinuities of Feynman amplitudes , J. Math. Phys. 1
1960
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.
Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, One loop n point gauge theory amplitudes, unitarity and collinear limits , Nucl. Phys. B425
1994
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.
Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes , Nucl. Phys. B435
1995
Earlier work this paper cites.
S. Laporta and E. Remiddi, The Analytical value of the electron (g-2) at order alpha**3 in QED , Phys. Lett. B379
1996
Earlier work this paper cites.
P. A. Baikov, Explicit solutions of the three loop vacuum integral recurrence relations , Phys. Lett. B385
1996
Earlier work this paper cites.
hep-ph/9601359
L. J. Dixon, Calculating scattering amplitudes efficiently , in QCD and beyond. Proceedings, Theoretical Advanced Study Institute in Elementary Particle Physics, TASI-95, Boulder, USA, June 4-30, 1995 , pp. 539–584, 1996 · 1996
Earlier work this paper cites.
E. Remiddi, Differential equations for Feynman graph amplitudes , Nuovo Cim. A110
1997
Earlier work this paper cites.
P. A. Baikov, Explicit solutions of the multiloop integral recurrence relations and its application , Nucl. Instrum. Meth. A389
1997
Earlier work this paper cites.
Z. Bern, L. J. Dixon and D. A. Kosower, One loop amplitudes for e+ e- to four partons , Nucl. Phys. B513
1998
Earlier work this paper cites.
A. B. Goncharov, Multiple polylogarithms, cyclotomy and modular complexes , Math. Research Letters 5(4)
1998
Earlier work this paper cites.
S. Laporta, High precision calculation of multiloop Feynman integrals by difference equations , Int. J. Mod. Phys. A15
2000
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.
A. B. Goncharov, Multiple polylogarithms and mixed Tate motives , arXiv:math/0103059 [math.AG] (2001)
2001
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Two loop master integrals for gamma* → \to 3 jets: The Nonplanar topologies , Nucl. Phys. B601
2001
Earlier work this paper cites.
C. Anastasiou and A. Lazopoulos, Automatic integral reduction for higher order perturbative calculations , JHEP 07
2004
Earlier work this paper cites.
R. Britto, F. Cachazo and B. Feng, Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills , Nucl. Phys. B725
2005
Earlier work this paper cites.
M. Argeri and P. Mastrolia, Feynman Diagrams and Differential Equations , Int. J. Mod. Phys. A22
2007
Earlier work this paper cites.
R. H. Lewis, “Computer algebra system fermat.” http://home.bway.net/lewis/ , 2008
2008
Cited alongside, same era.
2010
Cited alongside, same era.
2010
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
H. Ita, Two-loop Integrand Decomposition into Master Integrals and Surface Terms , Phys. Rev. D94
2016
Later among the works it cites.
2016
Later among the works it cites.
Y. Zhang, Lecture Notes on Multi-loop Integral Reduction and Applied Algebraic Geometry , 2016 · 2016
Later among the works it cites.
2016
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2011
Cited alongside, same era.
A. G. Grozin, Integration by parts: An Introduction , Int. J. Mod. Phys. A26
2011
Cited alongside, same era.
2012
Cited alongside, same era.
2012
Cited alongside, same era.
S. Badger, H. Frellesvig and Y. Zhang, A Two-Loop Five-Gluon Helicity Amplitude in QCD , JHEP 12
2013
Cited alongside, same era.
J. M. Henn, Multiloop integrals in dimensional regularization made simple , Phys. Rev. Lett. 110
2013
Cited alongside, same era.
A. Hodges, Eliminating spurious poles from gauge-theoretic amplitudes , JHEP 05
2013
Cited alongside, same era.
A. V. Smirnov, FIRE5: a C++ implementation of Feynman Integral REduction , Comput. Phys. Commun. 189
2015
Cited alongside, same era.
2017
Later among the works it cites.
2017
Later among the works it cites.
H. Frellesvig and C. G. Papadopoulos, Cuts of Feynman Integrals in Baikov representation , JHEP 04
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.
M. Prausa, epsilon: A tool to find a canonical basis of master integrals , Comput. Phys. Commun. 219
2017
Later among the works it cites.
2018
Closest in time.
2018
Closest in time.
D. Chicherin, J. Henn and V. Mitev, Bootstrapping pentagon functions , JHEP 05
2018
Closest in time.
2018
Closest in time.
2018
Closest in time.
2018
Closest in time.
W. Decker, G.-M. Greuel, G. Pfister and H. Schönemann, “ Singular
2018
Closest in time.
2018
Closest in time.