Fetching the paper…
Reading the bibliography…
We present the calculation of massless two-loop Master Integrals relevant to five-point amplitudes with one off-shell external leg and derive the complete set of planar Master Integrals with five on-mass-shell legs, that contribute to many $2\to 3$ amplitudes of interest at the LHC, as for instance three jet production, $\gamma, V, H +2$ jets etc., based on the Simplified Differential Equations approach.
J.Moser, The order of a singularity in Fuchs’ theory
1960
Earlier work this paper cites.
G. ’t Hooft and M. Veltman, Scalar One Loop Integrals
1979
Earlier work this paper cites.
K. Chetyrkin and F. Tkachov, Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops
1981
Earlier work this paper cites.
F. Tkachov, A Theorem on Analytical Calculability of Four Loop Renormalization Group Functions
1981
Earlier work this paper cites.
A. Kotikov, Differential equations method: New technique for massive Feynman diagrams calculation
1991
Earlier work this paper cites.
A. Kotikov, Differential equation method: The Calculation of N point Feynman diagrams
1991
Earlier work this paper cites.
Z. Bern, L. J. Dixon, and D. A. Kosower, Dimensionally regulated one loop integrals
1993
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
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
1995
Earlier work this paper cites.
E. Remiddi, Differential equations for Feynman graph amplitudes
1997
Earlier work this paper cites.
P. A. Baikov, Explicit solutions of the multiloop integral recurrence relations and its application
1997
Earlier work this paper cites.
M. Caffo, H. Czyz, S. Laporta, and E. Remiddi, The Master differential equations for the two loop sunrise selfmass amplitudes
1998
Earlier work this paper cites.
M. Beneke and V. A. Smirnov, Asymptotic expansion of Feynman integrals near threshold
1998
Earlier work this paper cites.
E. Remiddi and J. Vermaseren, Harmonic polylogarithms
2000
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Differential equations for two loop four point functions
2000
Earlier work this paper cites.
S. Laporta, High precision calculation of multiloop Feynman integrals by difference equations
2000
Earlier work this paper cites.
T. Binoth and G. Heinrich, An automatized algorithm to compute infrared divergent multiloop integrals
2000
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Two loop master integrals for gamma* —> 3 jets: The Planar topologies
2001
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Two loop master integrals for gamma* → \mathchar 12833 3 jets: The Nonplanar topologies
2001
Earlier work this paper cites.
V. A. Smirnov, Applied asymptotic expansions in momenta and masses
2002
Cited alongside, same era.
V. A. Smirnov and M. Steinhauser, Solving recurrence relations for multiloop Feynman integrals
2003
Cited alongside, same era.
R. Bonciani, P. Mastrolia, and E. Remiddi, Vertex diagrams for the QED form-factors at the two loop level
2004
Cited alongside, same era.
S. Laporta and E. Remiddi, Analytic treatment of the two loop equal mass sunrise graph
2005
Cited alongside, same era.
J. Vollinga and S. Weinzierl, Numerical evaluation of multiple polylogarithms
2005
Cited alongside, same era.
G. Ossola, C. G. Papadopoulos, and R. Pittau, Reducing full one-loop amplitudes to scalar integrals at the integrand level
2007
C. Papadopoulos, R. Kleiss, and I. Malamos, Reduction at the integrand level beyond NLO
2013
Later among the works it cites.
2013
Later among the works it cites.
J. M. Henn, Multiloop integrals in dimensional regularization made simple
2013
Later among the works it cites.
2013
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.
M. Barkatou and E.Pflügel, Computing super-irreducible forms of systems of linear differential equations via Moser-reduction: a new approach
2007
Cited alongside, same era.
G. Ossola, C. G. Papadopoulos, and R. Pittau, On the Rational Terms of the one-loop amplitudes
2008
Cited alongside, same era.
2008
Cited alongside, same era.
G. Heinrich, Sector Decomposition
2008
Cited alongside, same era.
M. Barkatou and E.Pflügel, On the Moser-and super-reduction algorithms of systems of linear differential equations and their complexity
2009
Cited alongside, same era.
J. Gluza, K. Kajda, and D. A. Kosower, Towards a Basis for Planar Two-Loop Integrals
2011
Cited alongside, same era.
2013
Later among the works it cites.
2013
Later among the works it cites.
S. Borowka and G. Heinrich, Massive non-planar two-loop four-point integrals with SecDec 2.1
2013
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
C. G. Papadopoulos, Simplified differential equations approach for Master Integrals
2014
Later among the works it cites.
A. V. Smirnov, FIRE5: a C++ implementation of Feynman Integral REduction
2014
Later among the works it cites.
2014
Later among the works it cites.
2015
Closest in time.
J. M. Henn, Lectures on differential equations for Feynman integrals
2015
Closest in time.
R. N. Lee, Reducing differential equations for multiloop master integrals
2015
Closest in time.
2015
Closest in time.