3 body decay factor of two -- solved

Asked by Thibaud Vantalon

Hello,

I have a question about a behavior of Madgraph.

I implemented a model using FeynRules. It is the standard model (the one implemented in the FeynRules website) with two extra states called X83 and X53. When I compute the decay width of the X83, I have the following behaviors:

The decay chain goes has followed X83 > X53 w+ ,(X53 > w+ t). So the final states is t w+ w+ and there is one off shell propagator X53. (I have the same behavior for the decay X53 > w+ t,(t>w+ b) if I set the decay width of the top to 0.

If the decay width of X53 is set to 0 (not really physical I confess) the cross section is exactly two times bigger than a X53 with a width of 0.001 gev. (The mass of the two states is 400 gev)

I checked the matrix element for one point in the phase space using the output standalone command and there are almost the same in the 2 cases(the difference is only due to the 0.001 width.

Having done the computation using Mathematica, the good result seems to be the one with 0 width (if I have not forgotten a factor of two.

I am quite confuse by this behavior. Where do you think it come from?

(if you want I can send you the files)

Thank you for your time

Thibaud

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Olivier Mattelaer (olivier-mattelaer) said :
#1

Hi Thibaud,

The syntax:
> X83 > X53 w+ ,(X53 > w+ t).
assumes the the X53 is on shell (more exactly between -15 to +15 times the width).
So I don't understand how you can even have a non zero contribution in this case.

The way to generate this in this case is:

X83 > X53 > w+ w+ t

Cheers,

Olivier

On Dec 10, 2012, at 1:36 PM, Thibaud Vantalon <email address hidden> wrote:

> New question #216395 on MadGraph5:
> https://answers.launchpad.net/madgraph5/+question/216395
>
> Hello,
>
> I have a question about a behavior of Madgraph.
>
> I implemented a model using FeynRules. It is the standard model (the one implemented in the FeynRules website) with two extra states called X83 and X53. When I compute the decay width of the X83, I have the following behaviors:
>
> The decay chain goes has followed X83 > X53 w+ ,(X53 > w+ t). So the final states is t w+ w+ and there is one off shell propagator X53. (I have the same behavior for the decay X53 > w+ t,(t>w+ b) if I set the decay width of the top to 0.
>
> If the decay width of X53 is set to 0 (not really physical I confess) the cross section is exactly two times bigger than a X53 with a width of 0.001 gev. (The mass of the two states is 400 gev)
>
> I checked the matrix element for one point in the phase space using the output standalone command and there are almost the same in the 2 cases(the difference is only due to the 0.001 width.
>
> Having done the computation using Mathematica, the good result seems to be the one with 0 width (if I have not forgotten a factor of two.
>
> I am quite confuse by this behavior. Where do you think it come from?
>
> (if you want I can send you the files)
>
> Thank you for your time
>
> Thibaud
>
> --
> You received this question notification because you are a member of
> MadTeam, which is an answer contact for MadGraph5.

Revision history for this message
Thibaud Vantalon (thibaud-vantalon) said :
#2

Hi,

Thanks for you quick answer. But I used generate X83 > w+ w+ t. The other way of writing was just here in order to make the decay chain more understandable.

Cheers,

Thibaud

Revision history for this message
Johan Alwall (johan-alwall) said :
#3

Hello Thibaud,

Please do send the UFO model files and the cards, my email is jalwall_at_ntu.edu.tw.

Thanks,
Johan

Revision history for this message
Johan Alwall (johan-alwall) said :
#4

This was actually a bug, the fix for which has been released. See Bug #1089199.

Revision history for this message
Thibaud Vantalon (thibaud-vantalon) said :
#5

Yes I know, actually the bug report has been made by Johan Alwall because of this post.

Thanks for you great works.