A How Does the ss¯ Pair Affect the Partial Width Γ2 in Gluon Decays?

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The discussion centers on calculating the partial width Γi for gluon decays, specifically how the presence of an ss¯ pair affects Γ2. The initial example illustrates that Γ1 is proportional to the product of CKM matrix elements V2cb and V2cs. When introducing an additive gluon leading to an ss¯ pair, the relationship for Γ2 shifts to V2cb and V2cd, but the impact of the gluon on the decay width remains unclear. Participants express frustration over the lack of clarity on how to incorporate the gluon contribution into the decay width calculations. The conversation emphasizes the need for resources or articles on three-body decays to better understand these dynamics.
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How to calculate/estimate partial decay width of a decay when gluons decaying to a quark-antiquark pair are involved?
How do we normally calculate the partial width Γi for a decay involving gluons.Consider the following example:

feynmanbjks.png
feynmareal.png

in the first example, I know that one can estimate the partial width Γ1 using CKM matrix elements to get "Γ1 is directly proportional to V2cb V2cs
."Now, for the second diagram it is essentially the same but with an additive gluon going to ss¯¯¯

. Ofcourse, the partial width now changes to look like:
"Γ2 is directly proportional to V2cb V2cd
."BUT,this doesn't tell anything on how the gluon changes things. So what I want to know is, how exactly does the ss¯¯¯

pair changing the Γ2
!!!????If there are any sources/articles for this, it would be really helpful as I haven't found much regarding these 3 body decays!
 
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What are you looking for exactly? Someone to calculate the matrix element for you?
 
Have you even read the whole thing?
I know how to calculate the CKM matrix element, I am asking how to consider the gluon to ssbar contribution in decay width!
 
VikasRajG said:
Have you even read the whole thing?
In am not your servant. Don't treat me like one.

You put a propagator in for the gluon, and T matrices at each colored vertex.
 
Thank You!
Sorry for that, I was just a bit frustrated.
 

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