# Matrix and cross section of the Xf -> Xf process

Homer_J
Homework Statement:
Find the matrix and cross section of neutralino fermion to neutralino fermion scattering process
Relevant Equations:
\xi f -> \xi f
The attempt at a solution follows as an attachment. If you are only interested in the solution without the derivation, look at page 1 and page 9.

#### Attachments

• Sketch_solution-min.pdf
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Mentor
Welcome to the PF. Unfortunately, your hand-written, scanned work is not very readable. What class is this for, and which year in university?

Mentor
BTW, there is a link to the PF LaTeX tutorial at the lower left corner of the Reply/Edit window at the bottom of your thread. It's a pretty easy tutorial to get you going typing math equations using LaTeX. Homer_J
Thanks. But there is no way I can fit the 9 pages on this forum. However, I can write down the matrix and cross section found. The course is quantum field theory.

Welcome to the PF. Unfortunately, your hand-written, scanned work is not very readable. What class is this for, and which year in university?

Homer_J
$$M = -((g_Z^2)/(q^2 - m^2) g_/uv) [\bar{u}(p3)\gamma^u \frac{1}{2} (C_V^X - C_A^X \gamma^5) u(p1)] [\bar{u}(p4)\gamma^v \frac{1}{2}(C_V^f - C_A^f \gamma^5)u(p2)]$$

Homer_J
$$\sigma = \frac{1}{192\pi} \frac{-g_Z^4}{(s-m_Z^2)^2 + m_Z^2 \Gamma^2)} ((C_V^X)^2 + (C_A^X)^2 + (C_V^f)^2 + (C_A^f)^2)$$