Why is the BR of W bosons to leptons, when pushed through Pythia (and Delphes), less than the PDG value?

Asked by TMartin

(Background, ie: what I am hoping to resolve eventually) I was running a process using the MSSM, and I ended up getting approximately half of the number of leptons as I was expecting based on a rough calculation. I ran X1+X1- production, and let Pythia decay the charginos. The result was about half the number of leptons I would expect from a ~10% branching ratio.

Here is the X1 decay table.
# PDG Width
DECAY 1000024 1.21772961E-11 # chargino1+ decays
# BR NDA ID1 ID2 ID3
     3.74990888E-01 3 1000022 2 -1 # BR(~chi_1+ -> ~chi_10 u db)
     3.74990888E-01 3 1000022 4 -3 # BR(~chi_1+ -> ~chi_10 c sb)
     1.25009112E-01 3 1000022 -11 12 # BR(~chi_1+ -> ~chi_10 e+ nu_e)
     1.25009112E-01 3 1000022 -13 14 # BR(~chi_1+ -> ~chi_10 mu+ nu_mu)
#

(Issue, ie: what I think is a first step to resolve/understand before resolving my main issue) So I ran a simple process of on-shell, S-channel W production (p p > W+, p p > W-) and ran the result through Pythia/Delphes, allowing Pythia to decay the W. Again, the result was approximately half of the number of leptons I would expect. I ran 10000 events, and I get 659 electrons and 613 muons, where as the branching ratio of the W boson to leptons is ~10%. I checked the pythia .lhe file as well as the delphes .lhe file, and they give me the same results, so I don't think it is a mistake in my delphes setup.

Thanks for any insight you can provide.

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Olivier Mattelaer (olivier-mattelaer) said :
#1

Hi Martin,

Not sure that this is a MadGraph issue at all since you didn't ask MadGraph to decay the W.
(You can do it this way:
define W = w+ w-
generate p p > W , W > all all)
I would recommend to generate this way since then you have the full spin correlation.

Concerning your problem. My first idea concerning a factor 2 is that you forget to count correctly the anti-particles.
indeed for
generate p p > w+
add process p p > w-
you indeed expect:
621 +- 25 positron and anti-muon
[10000 events * 0.58 (relative importance of W+ compare to W-) * 0.107 (BR of the W-)
and
449 +- 21 electron and muon

Could you check that indeed you are checking for both signs electron, since your number looks compatible with only one flavor.

Cheers,

Olivier

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TMartin (tmartin-4) said :
#2

I wasn't sure who to address this to, since it is part of the package that comes with MadGraph. I guess I can pass this question on to the Pythia people.

The category in the Delphes output that identifies the type of particle doesn't distinguish between particle/anti-particle. It is a different column in the LHCO output that identifies the particle/anti-particle nature of the output. So I wasn't discriminating between particle/anti-particle in my check. When I checked with the LHE file, I used an abs() of the final state indicator to account for the particle/anti-particle difference.

I will go back and re-run, though, with W+ and W- separate and re-check, though.

Thanks for responding.

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Olivier Mattelaer (olivier-mattelaer) said :
#3

Hi,

Indeed the way you perform your counting looks correct, But please double check it since this is funny that you arrive exactly on the expected number if you miss one. I really doubt that Pythia can make a so big mistake. But indeed if your result are confirmed then indeed you should contact them.

Cheers,

Olivier

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Jeff Asaf Dror (asafjeffdror) said :
#4

Hi TMartin,

My understanding is that Pythia has some sort of lepton tagging efficiency of ~0.75 due to default cuts that kills many of the leptons in the event. I'm currently struggling with this issue myself. Did you find a solution to your problem?

Can you help with this problem?

Provide an answer of your own, or ask TMartin for more information if necessary.

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