Lepton Universality: Branching Ratios & Cross Sections

  • Thread starter JoePhysicsNut
  • Start date
  • Tags
    Lepton
In summary, the branching ratios for the common purely leptonic tau decays into a tau neutrino, electron and electron antineutrino, and into a tau neutrino, muon and muon antineutrino are similar due to lepton universality. However, there is a slight difference in the values and cross sections due to the availability of phase space and the heavier mass of the muon.
  • #1
JoePhysicsNut
35
0
I'd just like to clarify something I read on Wikipedia:

"The branching ratio of the common purely leptonic tau decays are:

17.82% for decay into a tau neutrino, electron and electron antineutrino;
17.39% for decay into a tau neutrino, muon and muon antineutrino.

The similarity of values of the two branching ratios is a consequence of lepton universality."

Just to be clear, lepton universality insures the couplings of tau to mu and electron are identical, however, there is a slight difference between the BRs and cross sections due to the availability of phase space. BR_mu is slighly less than BR_el because the mu is heavier so the density of states term in the cross section expression is smaller. Is this correct?
 
Physics news on Phys.org
  • #2
Yes, it is.
 

FAQ: Lepton Universality: Branching Ratios & Cross Sections

1. What is Lepton Universality?

Lepton Universality is a fundamental principle in particle physics that states that the interactions between different types of leptons (such as electrons, muons, and taus) are identical. This means that the branching ratios and cross sections for these interactions should be the same, regardless of the type of lepton involved.

2. Why is Lepton Universality important?

Lepton Universality is important because it is a key prediction of the Standard Model of particle physics, which is the most widely accepted theory for explaining the behavior of subatomic particles. It has been extensively tested and any deviations from this principle could indicate the existence of new physics beyond the Standard Model.

3. What are branching ratios and cross sections?

Branching ratios refer to the probability of a particle decaying into a specific set of particles or states. Cross sections refer to the likelihood of a particle interacting with another particle during a collision. In the context of Lepton Universality, branching ratios and cross sections are used to compare the interactions between different types of leptons.

4. How is Lepton Universality tested?

Lepton Universality is tested using high energy particle colliders, such as the Large Hadron Collider (LHC) at CERN. Scientists measure the branching ratios and cross sections for different types of lepton interactions and compare them to the predictions of the Standard Model. Any discrepancies could indicate the violation of Lepton Universality and the presence of new physics.

5. What are the implications of a violation of Lepton Universality?

If Lepton Universality is found to be violated, it would challenge the current understanding of particle physics and could lead to the discovery of new particles or interactions. It could also help explain some of the mysteries of the universe, such as the dominance of matter over antimatter, and provide insights into the fundamental nature of the universe.

Back
Top