Is colour flow considered in MadGraph cross-section calculations

Asked by Didier Alexandre

Dear experts,

I am currently doing an interference study between single heavy top (T, from the VLQ_UFO model) and W+jets events using MadGraph. In the 5f scheme interference could for instance occur between the following processes:

(1) ub->dT, T->w+b
(2) ub->bdw+

where (1) is mediated via a w+, and (2) via a gd-fusion. [I can send the Feynman diagrams by email]

These processes will however only interfere in the cases in which the colour flow is the same, e.g.. :

(1) u(r)b(r)->d(r)T, T->w+b(r)
(2) u(r)b(r)->b(r)d(r)w+

and the same would work for (b) and (g) colours. Since (2) is mediated via a gluon, the number of degrees of freedom for colour exchange is bigger than in (1), and therefore the interference is suppressed.

My question is whether MadGraph takes the colour flow into account, and thus does not exaggerate the interference effect.

Many thanks in advance,
Didier

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Olivier Mattelaer (olivier-mattelaer) said :
#1

Hi,

The interference is correctly computed as long as you define (1) and (2) in a single “generate” line.
Doing “genenerate (1);add process (2)” will not include any interference.

Cheers,

Didier

> On 16 Feb 2017, at 14:47, Didier Alexandre <email address hidden> wrote:
>
> New question #463065 on MadGraph5_aMC@NLO:
> https://answers.launchpad.net/mg5amcnlo/+question/463065
>
> Dear experts,
>
> I am currently doing an interference study between single heavy top (T, from the VLQ_UFO model) and W+jets events using MadGraph. In the 5f scheme interference could for instance occur between the following processes:
>
> (1) ub->dT, T->w+b
> (2) ub->bdw+
>
> where (1) is mediated via a w+, and (2) via a gd-fusion. [I can send the Feynman diagrams by email]
>
> These processes will however only interfere in the cases in which the colour flow is the same, e.g.. :
>
> (1) u(r)b(r)->d(r)T, T->w+b(r)
> (2) u(r)b(r)->b(r)d(r)w+
>
> and the same would work for (b) and (g) colours. Since (2) is mediated via a gluon, the number of degrees of freedom for colour exchange is bigger than in (1), and therefore the interference is suppressed.
>
> My question is whether MadGraph takes the colour flow into account, and thus does not exaggerate the interference effect.
>
> Many thanks in advance,
> Didier
>
> --
> You received this question notification because you are an answer
> contact for MadGraph5_aMC@NLO.

Revision history for this message
Didier Alexandre (didieralexandre) said :
#2

Hi,

Thanks, indeed that is how I proceed. I was just wondering about whether the colour flow is considered in the computation of the effect.

Thanks a lot for the answer. This problem is solved then.
Didier

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