Z2×S6 symmetry of the two-loop diagram

  • D. T. Barfoot
  • D. J. Broadhurst


The generic two-loop diagram of massless scalar field theory ind dimensions, with propagators raised to powers {α i |i=1,5} is shown to have a symmetry groupZ2×S6 corresponding to reflection and permutation of six linear combinations of the six parameters. The expansion about α i =d/4=1 is given to the level required for six-loop renormalization. All but five of the coefficients are obtained from products of one-loop diagrams. All but one are expressed in terms of the Riemann zeta function.


Reflection Field Theory Linear Combination Elementary Particle Quantum Field Theory 
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Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • D. T. Barfoot
    • 1
  • D. J. Broadhurst
    • 1
  1. 1.The Open UniversityMilton KeynesEngland

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