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

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Discussion Overview

The discussion centers around the calculation of the partial width Γi for gluon decays, specifically focusing on how the presence of an ss¯ pair affects the partial width Γ2. Participants explore theoretical aspects and seek clarification on the contributions of gluons in three-body decays.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant notes that the partial width Γ1 can be estimated using CKM matrix elements, stating that "Γ1 is directly proportional to V2cb V2cs."
  • Another participant points out that for a decay involving an ss¯ pair, the partial width changes to "Γ2 is directly proportional to V2cb V2cd," but questions how the gluon affects this change.
  • There is a request for sources or articles related to three-body decays, indicating a lack of available information on the topic.
  • One participant expresses frustration over perceived misunderstandings and emphasizes their knowledge of calculating CKM matrix elements, reiterating their inquiry about the gluon's contribution to decay width.
  • Another participant suggests using a propagator for the gluon and T matrices at each colored vertex, implying a technical approach to the problem.

Areas of Agreement / Disagreement

The discussion reflects a lack of consensus, with participants expressing differing levels of understanding and frustration. There are competing views on how to approach the calculation of the decay width involving gluons and ss¯ pairs.

Contextual Notes

Participants have not fully resolved the mathematical steps involved in considering the gluon contributions, and there are assumptions regarding the definitions and calculations of matrix elements that remain unaddressed.

VikasRajG
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TL;DR
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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