1. COUPP Project Internship Using Bubble Chambers for Dark Matter Detection Using Bubble Chambers for Dark Matter Detection Summer 2007

2. Overview Introduction to Dark Matter Detection Introduction to COUPP Chicagoland Observatory for Underground Particle Physics (COUPP) Data Analysis Review Project Introduction to Dark Matter Detection Introduction to COUPP Chicagoland Observatory for Underground Particle Physics (COUPP) Data Analysis Review Project

3. Introduction to Dark Matter Detection What is dark matter? Why do we think it exists? How can we “see” dark matter? What are the current leading experiments? What is dark matter? Why do we think it exists? How can we “see” dark matter? What are the current leading experiments?

4. What is Dark Matter? About 95% of the Universe’s mass and energy is invisible to us DM ≈ one third Dark Matter is matter that does not emit or reflect electromagnetic radiation Therefore, except for gravitational effects, it is functionally invisible Dark Matter is one hypothesis explaining several cosmological challenges

5. Why do we think DM exists? Galactic Dynamics: For stars to move with velocities they have, there must be far more mass (to keep in orbits) [Vera Rubin, Fritz Zwicky] Weak Lensing: Photons are deflected by a gravitational field, so clumps of matter will cause distortions in the appearance of galaxies Cosmological Structure: Slow-moving dark matter appears necessary to generate galaxies and large-scale structures (need fluctuations) Universe’s Expansion: Inflation demands Universe have critical density, but visible mass accounts for considerably less than this

6. Why do we think DM exists? The Bullet Cluster: One idea is simply to modify gravity at large scale Why not just modify gravity? Collision between two galaxy clusters with hot gas Hot gas (red) slowed by drag force, while dark matter (blue) not slowed by impact If hot gas most massive component (per alternative gravity theory), this would not occur * * * * Separation of dark matter and the gas

7. How can we detect dark matter? Direct DetectionIndirect Detection We know WIMPs can collide with each other, producing neutrinos or gamma rays Gamma rays produced as a factor of density squared -- look for high density of DM (center of galaxy) So look for neutrinos and gamma rays -- because WIMPs really high energy, look for GeV energy gamma rays and neutrinos WIMPs can also collide with target nuclei Set up experiment to watch for WIMP collisions with target nuclei

8. What are the current leading experiments? CDMS Xenon 10 (Direct Detection) Cryogenic Dark Matter Search To reduce noise : Very cold Bottom of Soudan Mine (neutrons produced from atmospheric muons) Phonons -- tiny increase in heat in single cold Germanium crystal Phototubes in liquid Xenon Surpassed CDMS early 2007 Ionization Look for ratio of: Look for ratio of ionization to scintillation signal

9. Introduction to COUPP Methods of Detection Design Advantages over Competitors Methods of Detection Design Advantages over Competitors

10. Methods of Detection Heavy heavy target nucleus Dark matter particle from galatic halo  nuclear recoil Energy 1-100 keV

11. Design Liquid, temperature and pressure tuned so that WIMP must provide majority of energy to form bubble

12. Advantages of Bubble Chambers Low cost Easily reaches large sizes Low energy thresholds for nuclear recoils Backgrounds (  and  ) easily suppressed [run at low pressure] Low cost Easily reaches large sizes Low energy thresholds for nuclear recoils Backgrounds (  and  ) easily suppressed [run at low pressure] fairly convention pressure vessel commercial parts primary cost associated with maintaining cleanness fairly convention pressure vessel commercial parts primary cost associated with maintaining cleanness Heat is tuned (low enough) to not allow bubble formation by gamma or beta particles Also why runs for extended period of time Heat is tuned (low enough) to not allow bubble formation by gamma or beta particles Also why runs for extended period of time Because sufficient degree of superheat

13. Advantages of Bubble Chambers Variety of target nuclei CF3Br CF3I C3F8 Xe etc. Neutron backgrounds can be measured by multiple bubble events Variety of target nuclei CF3Br CF3I C3F8 Xe etc. Neutron backgrounds can be measured by multiple bubble events Neutrons bounce Some fraction produce more than one bubble Source of neutrons included to simulate neutron Important b/c lack of muon shielding (except eriks) Neutrons bounce Some fraction produce more than one bubble Source of neutrons included to simulate neutron Important b/c lack of muon shielding (except eriks) Different kinds of dark matter interact differently with different target atoms/nuclei

14. Data Analysis Review Project Problem Method of Assessment Results Problem Method of Assessment Results

15. Problem With what accuracy does the current method of data analysis report the radon levels in the bubble chamber? Method of Assessment 1)Develop Monte Carlo to simulate the real data 2)Analyze MC data using the project’s data analysis methods (Maximum Likelihood method of fit) 3)Determine the fraction of bubble counts that data analysis would attribute to Radon 4)Compare the data analysis fraction to the fraction actually input into the Monte Carlo The bubble chamber is contaminated with Radon. This results in a significant background count.

16. Monte Carlo Simulation Must mimic Radon decay chain as well as “other” (suspected Dark Matter) component Bubble chamber will not detect any bubble formation within 30 seconds of a previous bubble Amount of “other” component relative to Radon must be easily adjusted (to be looped) Run quickly (very large time loops) to mimic actual week long data runs Must mimic Radon decay chain as well as “other” (suspected Dark Matter) component Bubble chamber will not detect any bubble formation within 30 seconds of a previous bubble Amount of “other” component relative to Radon must be easily adjusted (to be looped) Run quickly (very large time loops) to mimic actual week long data runs Constraints

17. What occurs in the bubble chamber? 1. Radon enters, probably through “O-rings”, moves around, even through plastic, in liquids, etc. 2. Beta decays invisible, but alpha decays produce bubbles.. 3. Alpha particle emission for: Radon 222 to Polonium 218 Polonium 218 to Lead 214 Polonium 214 to Lead 210 Unless tens of years, only these relevant

18. COUPP’s Data Analysis Method Maximum Likelihood Method for a sum of exponentials We suspect that there are two primary components to the data Radon Other -- (simply not Radon, may include dark matter) Radon has a known half life that is short enough to be highly visible in bubble chamber data Fit two exponentials one is the Radon component (known exponential decay) the other component has decay given by the fit Three free parameters two coefficients, one exponential power We suspect that there are two primary components to the data Radon Other -- (simply not Radon, may include dark matter) Radon has a known half life that is short enough to be highly visible in bubble chamber data Fit two exponentials one is the Radon component (known exponential decay) the other component has decay given by the fit Three free parameters two coefficients, one exponential power Time difference in seconds Number of Events

19. Time difference in seconds Number of Events

20. Run data vs. Monte Carlo Time difference in seconds Number of Events/0.5(min) Monte Carlo Simulation for COUPP Bubble Chamber data

21. Check Minimization of the Likelihood Function Visual check (approximate) of minimization of likelihood function (for one free parameter)

22. Radon Fraction Can determine Radon component because of known 3.1 minute half-life Expect Radon to decay with known exponential curve To determine number of decays, integrate under curve For each Radon decays, two decays will later occur So for each bubble we label as 3-minute-Radon, we expect two additional triggers Can determine Radon component because of known 3.1 minute half-life Expect Radon to decay with known exponential curve To determine number of decays, integrate under curve For each Radon decays, two decays will later occur So for each bubble we label as 3-minute-Radon, we expect two additional triggers 3 x 3-minute-Radon Total Number of Triggers Radon Fraction = =

23. Comparison of Data Analysis and Actual Radon Fraction Create a loop, inputting a variety of Radon Fraction values Percent error between the given Radon fraction and the calculated value Deviation within each fraction calculation Percent error between the given Radon fraction and the calculated value Deviation within each fraction calculation Goal: Output: alpha = 0 omega = 15 gap = 1 for z = alpha:gap:omega Z = z+1 a = Fraction_Repeat_PDM_Loop(z) % Now we fit to a Gaussian xmin = 0;xmax = 1.5; ymin = 0;ymax = 40; bingapP =.025; gauss_data = a; bin_sizeP= 0.5:bingapP:xmax; n_elementsP = histc(gauss_data,bin_sizeP); nmax = n_elementsP(n_elementsP>(n_elementsP-(.1*z))) del_TP = xmax/bingapP; mu(Z) = mean(a); sigma(Z) = std(a); j = 0:.01:1.25 chi = (1/((sigma(Z))*((2*pi)^(1/2))))*… (exp(-((j-(mu(Z))).^2)./(2*((sigma(Z))2)))) %FIGURE 2 figure hist(a) hold on plot(j,chi)

24. Results Mean value fairly accurate Mean value of Radon fraction calculated by the analysis is fairly accurate for high Radon fractions -- for low values, problematic Variancequite large Variance, however, can be quite large, with values often at seven to eight percent of the actual Radon fraction (for high Rn fractions) underestimates for low overestimates for higher Analysis underestimates for low Radon fraction values and overestimates for higher Radon fraction values

25. Radon Fraction Estimated Radon Fraction  = 0.0359  = 0.0441  = 0.0422  = 0.0349

26. Radon Fraction Estimated Radon Fraction Number of runs estimating a given Radon fraction  = 0.0422

27. Actual vs Estimated Radon Fraction Actual Radon Fraction Estimated Radon Fraction

28. Bias

29. One interesting aspect to note in the representation of the bias is that the data analysis underestimates the Radon fraction at low values and overestimates the Radon fraction at high values.

30. Variance

32. Including low Radon fraction

33. Variance Excluding low Radon fraction

34. Conclusions Analysis method has sufficient accuracy, but is dependent on the Radon fraction Considerable variance in individual runs from the mean, so experiment must conduct many runs, to ensure that an accurate mean is determined Low Rn fraction unlikely, given actual data, so accuracy good

35. Questions