Understand
We present a simple method which simplifies the evaluation of the on-shell multiple box diagrams reducing them to triangle type ones.
- For the $L$-loop diagram one gets the expression in terms of Feynman parameters with $2L$-fold integration.
- As examples we consider the 2 and 3 loops cases, the numerical integration up to six loops is also presented.
- The method is valid in six dimensions where neither UV not IR divergences appear.
Built on
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V.A. Smirnov, Analytical result for dimensionally regularized massive on-shell planar double box , Phys.Lett. B524
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Similar
M. Czakon, Automatized analytic continuation of Mellin-Barnes integrals , Comput. Phys. Commun. 175
2006
Cited alongside, same era.
2009
Cited alongside, same era.
2010
Cited alongside, same era.
2011
Cited alongside, same era.
http://inspirehep.net/record/761982
Cited in the paper.
http://inspirehep.net/record/647621
Cited in the paper.
Then
A. V. Smirnov, V. A. Smirnov and M. Tentyukov, Comput. Phys. Commun., 182
2011
Later among the works it cites.
2012
Later among the works it cites.
V. A. Smirnov, “Analytic tools for Feynman integrals,” Springer Tracts Mod. Phys. 250
2012
Later among the works it cites.
L.V. Bork, D.I. Kazakov, D.E. Vlasenko, On the amplitudes in N=(1,1) D=6 SYM , JHEP 1311
2013
Later among the works it cites.
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