(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hi. I'm trying to calculate the cross section for this process:

where [itex]\phi[/itex] is a massive neutral scalar,Nis a massive Majorana neutrino and [itex]\nu[/itex]_{L}is the normal SM neutrino.

2. Relevant equations

N/A

3. The attempt at a solution

Apparently the answer should be something like: [tex] \frac{g^4}{4 \pi} \frac{m_N^2}{ {(m_\phi^2+m_N^2)}^2 } \>, [/tex]

where g is the coupling constant.

There’s a similar case in http://zippy.physics.niu.edu/spinors/DHMspinors.pdf, page 45. However, I’m not sure which part of Eq. (4.5.13) corresponds to the diagram above and I don’t know how to deal with the [tex] \sigma \cdot k [/tex] term (particularly when calculating the invariant amplitude squared)?

Any help would be appreciated,

Thanks!

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# Homework Help: Cross Section Calculation

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