What are the different decay processes shown in this Feynman diagram?

[Orodruin]

I am adding that line, because each interaction vertex must have three lines popping out of it, with the Higgs for one line and the fermion and anti-fermion on the other two lines

But without having that extra higgs you still satisfy that! You just have one vertex less.

 

[spaghetti3451]

Got it!

Is this the only tree-level Feynman diagram for this process?

 

[Orodruin]

No. You have two diagrams. One where the electron of the initial vertex is external and one where the positron is.

 

[spaghetti3451]

I see! So, for a process like

$$h \rightarrow e^{+} + e^{-} + \mu^{+} + \mu^{-}$$

you have only the following two tree-level Feynman diagrams, right?

https://i.imgsafe.org/79327227a1.jpg

https://i.imgsafe.org/7932eec9b7.jpg

 

[Orodruin]

No. You also have the diagrams where the initial vertex is with the electron line.

 

[spaghetti3451]

Got it!

So, you have two tree-level Feynman diagrams for

$$h \rightarrow e^{+} + e^{-} + e^{+} + e^{-} $$

https://i.imgsafe.org/79814d363d.jpg

and four tree-level Feynman diagrams for

$$h \rightarrow e^{+} + e^{-} + \mu^{+} + \mu^{-}$$

https://i.imgsafe.org/7981a81e80.jpg

https://i.imgsafe.org/79820c6447.jpg,

right?

 

[ChrisVer]

wouldnt that work? $h \rightarrow hh \rightarrow 2l 2l'$?
Also these are not tree diagrams...

 

[spaghetti3451]

wouldnt that work? $h \rightarrow hh \rightarrow 2l 2l'$?
Also these are not tree diagrams...

Which ones are not tree-level Feynman diagrams?

 

[ChrisVer]

Which ones are not tree-level Feynman diagrams?

that was a conceptual mistake...

 

[spaghetti3451]

Right, so all of the diagrams that I posted are tree-level diagrams, right?