Quantcast
  • Register
PhysicsOverflow is a next-generation academic platform for physicists and astronomers, including a community peer review system and a postgraduate-level discussion forum analogous to MathOverflow.

Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion.

Please help promote PhysicsOverflow ads elsewhere if you like it.

News

Please welcome our new moderators!

Please do help out in categorising submissions. Submit a paper to PhysicsOverflow!

... see more

Tools for paper authors

Submit paper
Claim Paper Authorship

Tools for SE users

Search User
Reclaim SE Account
Request Account Merger
Nativise imported posts
Claim post (deleted users)
Import SE post

Users whose questions have been imported from Physics Stack Exchange, Theoretical Physics Stack Exchange, or any other Stack Exchange site are kindly requested to reclaim their account and not to register as a new user.

Public \(\beta\) tools

Report a bug with a feature
Request a new functionality
404 page design
Send feedback

Attributions

(propose a free ad)

Site Statistics

122 submissions , 103 unreviewed
3,497 questions , 1,172 unanswered
4,543 answers , 19,337 comments
1,470 users with positive rep
407 active unimported users
More ...

Dalitz plot analysis

+ 1 like - 0 dislike
33 views

I have seen a few Dalitz plots so far and tried to understand how they are useful. So one of the advantages of these plot is that the non-uniformity in the plots can tell something about the intermediate states that we cannot detect. My question is how do you extract the mass of these resonant particles from such plots? What additional information would you need?

This post imported from StackExchange Physics at 2014-03-24 04:32 (UCT), posted by SE-user venu
asked Mar 14, 2013 in Experimental Physics by venu (15 points) [ no revision ]
retagged Mar 24, 2014 by dimension10
this wiki entry seems sufficient to me en.wikipedia.org/wiki/Dalitz_plot . The mass you extract from the mass plot, once you know the kinematic region where it is clear, you can cut and clean a resonance.

This post imported from StackExchange Physics at 2014-03-24 04:32 (UCT), posted by SE-user anna v
no no. I know that density variations correspond to resonances but what I dont know is how the dense regions mathematically relate to the mass of the resonant particles.

This post imported from StackExchange Physics at 2014-03-24 04:32 (UCT), posted by SE-user venu
I'm sorry I'll make that more precise by saying that I know that the more dense regions on the plot may correspond to resonances but I don't understand how to calculate the mass of the resonant particles.

This post imported from StackExchange Physics at 2014-03-24 04:32 (UCT), posted by SE-user venu
Do you know about cuts in variables? From the link above: "For example, if particle A decays to particles 1, 2, and 3, a Dalitz plot for this decay could plot m12^2 on the x-axis and m23^2 on the y-axis." The two axis are the square of the invariant mass of the pairs of particles. The Daliz plot shows where another resonance may exist which can interfere with the fit for the mass in the projection. If you cut the second mass the fit ( a gaussian, or a breit-wigner) for the first can be clearer and unbiased.

This post imported from StackExchange Physics at 2014-03-24 04:32 (UCT), posted by SE-user anna v
The Dalitz plot is not for resonance discovery, but for a study of the three body state: virgilio.mib.infn.it/~dini/meson2004/img2.html .

This post imported from StackExchange Physics at 2014-03-24 04:32 (UCT), posted by SE-user anna v
yes I read about using dalitz plots for the other things that you have mentioned. I had to know if a resonance mass can also be found from dalitz plot. The link and the plot in the answer helps.

This post imported from StackExchange Physics at 2014-03-24 04:32 (UCT), posted by SE-user venu

1 Answer

+ 1 like - 0 dislike

Let me make my comments into an answer:

A Dalitz plot is a tool for further study of resonances, not for determining their mass. Resonances are seen on the plot for the invariant mass distribution, the the square root of the measure of the four vector of the sum of the constituent particles. As with the recent discovery of the Higgs.

Higgs

In this plot, which is the invariant mass distribution of the sum of many particles, a number of cuts have been applied to clean up the resonance, and a fit ( red line) gives the mass.

The Dalitz plot is for the simpler situation of a decay into three particles. In this case, if there are two resonances for example, the subset of invariant mass plots of pairs will have interference from the kinematic constraints. The plot allows to study this and also gives extra information on the three body parent state, if it is also a resonance, studying the interference patterns.

This post imported from StackExchange Physics at 2014-03-24 04:32 (UCT), posted by SE-user anna v
answered Mar 15, 2013 by anna v (1,710 points) [ no revision ]

Your answer

Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
Please consult the FAQ for as to how to format your post.
This is the answer box; if you want to write a comment instead, please use the 'add comment' button.
Live preview (may slow down editor)   Preview
Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:
p$\hbar$ysicsOverfl$\varnothing$w
Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds).
To avoid this verification in future, please log in or register.




user contributions licensed under cc by-sa 3.0 with attribution required

Your rights
...