Solving Feymann Diagram with B+, Do+, u+, Vu

[venomxx]

Homework Statement

B+ --> Do + u+ + Vu

B and D are mesons and u is a muon and Vu its corrosponding neutrino.
B composition u b*
Do composition c u*

Where * denotes the antiquark...

The Attempt at a Solution

I can do most diagrams, but this one is killing me! I have looked up the Cern branching ratios and have seen that this is possible but can anyone point me in the right direction for drawing it?

I have the D+ going to a W+ and Z boson, the W+ gives the Muon and neutrino and the Z the Do, but the Z can't couple to anti-u and c quarks...therefore my problem!

Cheers

 

[Jhero]

Hello! Thank you for your post. I am a scientist and I can help you with this diagram.

First, let's start with the B+ meson. It is made up of a bottom quark and an anti-up quark. The B+ meson can decay into a D+ meson, which is made up of a charm quark and an anti-up quark. This decay is mediated by the weak force, which involves the exchange of a W+ boson.

Next, let's look at the D+ meson. It can decay into a muon and its corresponding neutrino, as you correctly stated. This decay is also mediated by the weak force and involves the exchange of a W+ boson.

Now, let's focus on the Z boson. The Z boson can decay into a charm quark and an anti-up quark, as you mentioned. However, it can also decay into an anti-charm quark and an up quark. This means that the Z boson can couple to both anti-u and c quarks, allowing it to interact with both the B+ and D+ mesons in this process.

To draw the diagram, you can start with the B+ meson on the left and draw a line representing its decay into a D+ meson. Then, draw a W+ boson connecting the two mesons. From the D+ meson, draw two more lines representing its decay into a muon and neutrino. Finally, from the W+ boson, draw a Z boson connecting to the D+ meson and another line representing its decay into an anti-charm quark and an up quark.

I hope this helps you with your diagram. Let me know if you have any further questions or need clarification. Keep up the good work!