2014

Evaluation of Multi-Box Diagrams in Six Dimensions

Kazakov, D. I.

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

  • V.V. Belokurov, N.I. Usyukina, Calculation Of Ladder Diagrams In Arbitrary Order , J.Phys. A16

    1983

    Earlier work this paper cites.

  • A.N. Vassiliev, Yu.M.Pismak, Yu.R.Honkonen, Theor.Math.Phys., 47

    1984

    Earlier work this paper cites.

  • N.I. Usyukina, A.I. Davydychev, Exact results for three and four point ladder diagrams with an arbitrary number of rungs , Phys.Lett. B305

    1993

    Earlier work this paper cites.

  • C. Anastasiou, J. B. Tausk, M. E. Tejeda-Yeomans, The on-shell massless planar double box diagram with an irreducible numerator, Nucl. Phys. Proc. Suppl. 89

    2000

    Earlier work this paper cites.

  • V.A. Smirnov, Analytical result for dimensionally regularized massive on-shell planar double box , Phys.Lett. B524

    2003

    Earlier work this paper cites.

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