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

• Homer_J
In summary, the conversation discusses a problem related to quantum field theory and a matrix and cross section found related to this problem. The person also mentions that there is a link to a tutorial on how to type math equations using LaTeX and that the scanned work provided is not very readable. The person also asks for more information about the class and university level of the problem.
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
818.4 KB · Views: 239
Welcome to the PF.

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

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.

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.

berkeman said:
Welcome to the PF.

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

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

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

## 1. What is the Xf -> Xf process?

The Xf -> Xf process is a type of reaction that occurs in chemistry and physics. It involves the transformation of an initial state (Xf) into a final state (Xf) through a series of intermediate steps.

## 2. What is a matrix in the context of the Xf -> Xf process?

In the Xf -> Xf process, a matrix refers to a mathematical representation of the transformation that occurs between the initial and final states. It is typically represented by a square array of numbers that represent the coefficients of the various intermediate steps.

## 3. How is the cross section of the Xf -> Xf process determined?

The cross section of the Xf -> Xf process is determined by measuring the probability of the reaction occurring at different energies or collision energies. This can be done through experiments or by using theoretical models and calculations.

## 4. What factors can affect the cross section of the Xf -> Xf process?

The cross section of the Xf -> Xf process can be affected by various factors such as the energy of the particles involved, the nature of the initial and final states, and the presence of other particles or external fields that can influence the reaction.

## 5. What is the significance of studying the Xf -> Xf process?

Studying the Xf -> Xf process can provide valuable insights into the fundamental principles of chemistry and physics. It can also help in understanding and predicting the behavior of particles and systems at the atomic and subatomic level, which has practical applications in fields such as materials science and nuclear energy.

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