# 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 MadGraph^{1}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: