Feynman Diagrams, are these allowed?

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The discussion focuses on the legality of Feynman diagrams presented by a user, with two possible interpretations for each diagram. Key rules mentioned include prioritizing strong interactions over electromagnetic and weak interactions, as well as favoring tree-level diagrams over loop diagrams. It is noted that one diagram is less relevant unless near the Z energy level during collisions, and another diagram contains extra particles that should not be included. Suggestions are made to improve the diagrams, such as using a photon in one case and flipping the right-hand side of another to address charge issues. Overall, the conversation emphasizes the importance of adhering to established rules in particle physics when creating Feynman diagrams.
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Homework Statement
I have drawn a couple of diagrams for each of the two following equations. Are any of them wrong? Are either preferred? I don't have much practice with drawing these...
Relevant Equations
electron + positron -> tau+ anti-tau
electron + positron -> tau-neutrino + anti-tau-neutrino
Capture1.PNG


Capture2.PNG

These are my attempts, I have found two possibilities for each, but have no idea if they're 'legal'...

Thanks in advance!
 
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As a rule of thumb: strong > electromagnetic > weak, and tree-level > loops
While the diagrams are possible (except for the signs in the second one, check these) there is a much more important diagram for tau+antitau unless you are close to the Z energy in the collision.
The fourth diagram has additional particles that shouldn't be there.
 
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mfb said:
As a rule of thumb: strong > electromagnetic > weak, and tree-level > loops
While the diagrams are possible (except for the signs in the second one, check these) there is a much more important diagram for tau+antitau unless you are close to the Z energy in the collision.
The fourth diagram has additional particles that shouldn't be there.
Ah ok, thanks! So would the first one be better with a photon then? And would flipping the RHS of the second one fix the charge issues?
 
"Better" is subjective. "Stronger" at low energies: Certainly.

Yes, flipping the RHS will fix it.
 
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Thread 'Help needed with Elliptic Integrals'

I want to find the solution to the integral ##\theta = \int_0^{\theta}\frac{du}{\sqrt{(c-u^2 +2u^3)}}## I can see that ##\frac{d^2u}{d\theta^2} = A +Bu+Cu^2## is a Weierstrass elliptic function, which can be generated from ##\Large(\normalsize\frac{du}{d\theta}\Large)\normalsize^2 = c-u^2 +2u^3## (A = 0, B=-1, C=3) So does this make my integral an elliptic integral? I haven't been able to find a table of integrals anywhere which contains an integral of this form so I'm a bit stuck. TerryW
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