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Validation

The phase-space parametrisations in terms of blocks are validated using two differents methods:

  • Computation of a cross-section: the block is used to compute the cross-section of a given process. The result is then compared to the cross-section computed using MadGraph1 for the same process.
  • Computation of a phase-space volume: only the phase-space density is integrated (no PDF or matrix element), and the result is compared with the analytical result for production of massless particles at a hadronic centre-of-mass energy of GeV:

In both cases, MoMEMta's phase-space parametrisations are not efficient for the problem, but by increasing the number of integrand evaluations to a very large number, sufficient precision can be reached nonetheless.

Block A

Cross-section

The process used is

  • MadGraph cross-section: pb
  • MoMEMta cross-section:

Phase-space volume

Volume computed: production of 3 massless particles at TeV

  • Theoretical phase-space volume:
  • MoMEMta phase-space volume:

Block B

Cross-section

The process used is

  • MadGraph cross-section: pb
  • MoMEMta cross-section: pb

Phase-space volume

Volume computed: production of 3 massless particles at TeV

  • Theoretical phase-space volume:
  • MoMEMta phase-space volume:

Block D

The process used is fully-leptonic

  • MadGraph cross-section: pb
  • MoMEMta cross-section: pb

Phase-space volume

Volume computed: production of 6 massless particles at TeV

  • Theoretical phase-space volume :
  • MoMEMta phase-space volume:

Block F

Cross-section

The process used is

  • MadGraph cross-section: pb
  • MoMEMta cross-section: pb

Phase-space volume

Volume computed: production of 4 massless particles at TeV

  • Theoretical phase-space volume:
  • MoMEMta phase-space volume:

Block G

Cross-section

The process used is

  • MadGraph cross-section: pb
  • MoMEMta cross-section: pb

Phase-space volume

Volume computed: production of 4 massless particles at TeV

  • Theoretical phase-space volume:
  • MoMEMta phase-space volume:

Secondary Block C/D

Cross-section

The process used is
Main block used for computation: B

  • MadGraph cross-section: pb
  • MoMEMta cross-section: pb

Phase-space volume

Volume computed: production of 4 massless particles at TeV
Main block used for computation: A

  • Theoretical phase-space volume:
  • MoMEMta phase-space volume: