Definition of short- and long-distance effects in branching ratios

In summary, short- or long-distance contributions/effects to branching ratio calculations refer to the different ways in which quarks can contribute to certain calculations in particle physics. Short-distance contributions come from highly virtual heavy quarks, while long-distance contributions come from light quarks that are less virtual and have a longer lifetime. These long-distance contributions cannot be calculated using perturbative methods and are instead represented by pions, the infrared limit of QCD.
  • #1
jossives
5
0
Would somebody be kind enough to explain what exactly is meant when discussing short- or long-distance contributions/effects to branching ratio calculations?
 
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  • #2
Hmmm... I think it depends on the context. For example, something I've been thinking about recently for my research: in K-Kbar mixing in the Standard Model, you can have effects from heavy quarks and light quarks running through loops. The heavy quarks are highly virtual (such as the top and charm) and so, thanks to the asymptotic freedom of QCD, these contributions are perturbative. However, the contribution from the light quark masses (up) is definitely not perturbative, since these quarks are quite light and are not "as virtual" as the heavy quarks. This means that they can exist longer from the uncertainty principle, and this means that the contributions from light quarks is ACTUALLY a contribution from pions, the IR limit of QCD. These are called "long-distance" contributions, and cannot be computed with perturbative QCD.

Hope that helps.
 
  • #3
Perfect. That was exactly the explanation I was looking for. Thanks blechman
 

Related to Definition of short- and long-distance effects in branching ratios

What is the definition of short- and long-distance effects in branching ratios?

Short- and long-distance effects refer to the two main types of interactions that can occur between particles in a branching process. Short-distance effects involve interactions that occur at a small distance, such as electromagnetic interactions between charged particles. Long-distance effects, on the other hand, involve interactions that occur over a larger distance, such as the strong nuclear force between quarks within a nucleus.

How do short- and long-distance effects affect branching ratios?

Short- and long-distance effects can greatly influence the probabilities of different outcomes in a branching process, and therefore can impact the resulting branching ratios. Short-distance effects tend to be more dominant in determining branching ratios, as they occur at a smaller distance and have a stronger interaction strength.

What is the importance of considering short- and long-distance effects in branching ratios?

It is crucial to take into account both short- and long-distance effects in branching ratios in order to accurately predict the outcomes of branching processes. Neglecting one type of effect over the other can lead to significant errors in the calculated branching ratios, and can also hinder our understanding of the underlying physical processes.

What are some examples of short- and long-distance effects in branching ratios?

Short-distance effects can include interactions between particles such as the decay of a neutron into a proton, electron, and antineutrino. Long-distance effects can include interactions between nucleons in a nucleus, resulting in processes such as nuclear fission or fusion.

How do scientists study and account for short- and long-distance effects in branching ratios?

Scientists use various theoretical models and experimental techniques to study and account for short- and long-distance effects in branching ratios. These can include quantum field theory, effective field theory, and high-energy particle colliders like the Large Hadron Collider. By comparing experimental data to theoretical predictions, scientists can refine and improve our understanding of these effects and their impact on branching ratios.

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