Built on

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 and D. A. Kosower, One loop corrections to five gluon amplitudes , Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
E. Remiddi, Differential equations for Feynman graph amplitudes , Nuovo Cim. A110
1997
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.
E. Remiddi and J. A. M. Vermaseren, Harmonic polylogarithms , 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.
T. Gehrmann and E. Remiddi, Two-Loop Master Integrals for γ ∗ → 3 \gamma^{*}\to 3 Jets: The planar topologies , Nucl. Phys. B601
2001
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Two loop master integrals for γ ∗ → 3 \gamma^{*}\to 3 jets: The Nonplanar topologies , Nucl.Phys. B601
2001
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Numerical evaluation of harmonic polylogarithms , Comput. Phys. Commun. 141
2001
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Analytic continuation of massless two loop four point functions , Nucl. Phys. B640
2002
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Numerical evaluation of two-dimensional harmonic polylogarithms , Comput. Phys. Commun. 144
2002
Earlier work this paper cites.
J. Vollinga and S. Weinzierl, Numerical evaluation of multiple polylogarithms , Comput. Phys. Commun. 167
2005
Earlier work this paper cites.
J. Gluza, K. Kajda and D. A. Kosower, Towards a Basis for Planar Two-Loop Integrals , Phys. Rev. D83
Original
2011
Earlier work this paper cites.

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2018

Analytic result for the nonplanar hexa-box integrals

Chicherin, D., Gehrmann, T., Henn, J. M. et al.

Understand

In this paper, we analytically compute all master integrals for one of the two non-planar integral families for five-particle massless scattering at two loops.

We first derive an integral basis of 73 integrals with constant leading singularities.
We then construct the system of differential equations satisfied by them, and find that it is in canonical form.
The solution space is in agreement with a recent conjecture for the non-planar pentagon alphabet.

Built on

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 and D. A. Kosower, One loop corrections to five gluon amplitudes , Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
E. Remiddi, Differential equations for Feynman graph amplitudes , Nuovo Cim. A110
1997
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.
E. Remiddi and J. A. M. Vermaseren, Harmonic polylogarithms , 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.
T. Gehrmann and E. Remiddi, Two-Loop Master Integrals for γ ∗ → 3 \gamma^{*}\to 3 Jets: The planar topologies , Nucl. Phys. B601
2001
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Two loop master integrals for γ ∗ → 3 \gamma^{*}\to 3 jets: The Nonplanar topologies , Nucl.Phys. B601
2001
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Numerical evaluation of harmonic polylogarithms , Comput. Phys. Commun. 141
2001
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Analytic continuation of massless two loop four point functions , Nucl. Phys. B640
2002
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Numerical evaluation of two-dimensional harmonic polylogarithms , Comput. Phys. Commun. 144
2002
Earlier work this paper cites.
J. Vollinga and S. Weinzierl, Numerical evaluation of multiple polylogarithms , Comput. Phys. Commun. 167
2005
Earlier work this paper cites.
J. Gluza, K. Kajda and D. A. Kosower, Towards a Basis for Planar Two-Loop Integrals , Phys. Rev. D83
Original
2011
Earlier work this paper cites.