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ScalarC0IR6

ScalarC0IR6[s, m0, m1]
gives the finite part of Ellis-Zanderighi IR-divergent triangle 6, for real s and positive m0 and m1.

Details and OptionsDetails and Options

  • Mathematical function, suitable for numerical evaluation. For rapid machine precision evaluation, ScalarC0IR6 uses code that is compiled to the Wolfram Virtual Machine (triggered after first numerical evaluation). For arbitrary precision evaluation, ScalarC0IR6 uses Wolfram Language code.
  • ScalarC0IR6[s, m0, m1] is generated by LoopRefine to maintain compact expressions. Applying C0Expand, or setting option ExplicitC0All to LoopRefine will replace ScalarC0IR6 with its explicit form.
  • .
  • In terms of , the full Ellis-Zanderighi IR-divergent triangle 6 is .
  • ScalarC0IR6[s, m0, m1] has a branch cut discontinuity in the complex plane running from to .
  • ScalarC0IR6[s, m0, m1] is symmetric with respect to the interchange .

ExamplesExamplesopen allclose all

Basic Examples  (4)Basic Examples  (4)

Generate ScalarC0IR6 by reduction of a Passarino-Veltman C function:

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Apply C0Expand to obtain an analytic expression in terms of logarithms:

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Evaluate numerically:

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The precision of the output tracks the precision of the input:

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