From 6d55bfc958029e6164074fd66f502c1ca9455620 Mon Sep 17 00:00:00 2001 From: Ulrik Egede Date: Tue, 12 Sep 2023 17:15:13 +1000 Subject: [PATCH] Add an extra item at the end of lifetime exercise for PHS3302 --- .../PHS3302/d0_lifetime/d0_lifetime.ipynb | 39 +++++++------ monashspa/PHS3302/d0_lifetime/d0_lifetime.py | 56 +++++++++++++++---- 2 files changed, 68 insertions(+), 27 deletions(-) diff --git a/monashspa/PHS3302/d0_lifetime/d0_lifetime.ipynb b/monashspa/PHS3302/d0_lifetime/d0_lifetime.ipynb index 326625b..4563346 100644 --- a/monashspa/PHS3302/d0_lifetime/d0_lifetime.ipynb +++ b/monashspa/PHS3302/d0_lifetime/d0_lifetime.ipynb @@ -118,14 +118,12 @@ "outputs": [ { "data": { - "image/png": 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\n", 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", "text/plain": [ - "
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\n", 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", 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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -558,12 +554,23 @@ ] }, { - "cell_type": "code", - "execution_count": null, - "id": "6cab65c0", + "cell_type": "markdown", + "id": "7ef04812-f2fc-441f-b801-4d6f35f434f2", "metadata": {}, - "outputs": [], - "source": [] + "source": [ + "### Part 5: Use the impact parameter to estimate the uncertainty on each measurement\n", + "In this large part you will need to demonstrate the use of tools that you have used above but without any template code to hep you.\n", + "\n", + "Each measurement of a $D^0$ decay will give us a measurement of the decay time. That is what we then used to fit the overall decay time distribution to give us the lifetime. However, we have ignored that each measurement will in fact have an uncertainty related to it. We will look at the uncertainty in the measurement by looking in a direction perpendicular to the direction of flight.\n", + "\n", + "**Task 9** *[5 marks]* For each candidate calculate the projection of the displacement $\\Delta \\vec{\\mathbf{x}}$ on a plane perpendicular to the momentum vector $\\vec{\\mathbf{p}}$. Using the background subtraction method from above, plot the length of this projected vector for the signal candidates. Why you would expect this to follow a [Rayleigh distribution](https://en.wikipedia.org/wiki/Rayleigh_distribution) where the $\\sigma$ parameter gives us the average resolution in the plane transverse to the momentum vector? Make a fit to determine $\\sigma$.\n", + "\n", + "**Task 10** *[5 marks]* Assuming that the resolution $\\sigma$ in the direction parallel to the momentum vector is the same as in the perpendicular direction, try to estimate if the fact that we ignored the resolution could lead to a sign ificant bias in our measurement. \n", + "\n", + "First, you will need to estimate how big an uncertainty in decay time you get from a given uncertainty in displacement. Using a \"typical\" momentum should be sufficient for this. From there you can use several methods to answer the question. You might find the [Exponentially modified Gaussian distribution](https://en.wikipedia.org/wiki/Exponentially_modified_Gaussian_distribution) useful and the fact that the mean value of an exponential (starting at $t=0$) is exactly the lifetime. Another method would be to on purpose smear your decay time measurements and then repeat the lifetime fit to look at the impact.\n", + "\n", + "Note that you are not asked to exactly determine a possible bias, but simply determine if it might be significant when compared to the statistical uncertainty on the lifetime." + ] } ], "metadata": { @@ -582,7 +589,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.11.4" } }, "nbformat": 4, diff --git a/monashspa/PHS3302/d0_lifetime/d0_lifetime.py b/monashspa/PHS3302/d0_lifetime/d0_lifetime.py index cf32a32..cf0ec44 100644 --- a/monashspa/PHS3302/d0_lifetime/d0_lifetime.py +++ b/monashspa/PHS3302/d0_lifetime/d0_lifetime.py @@ -25,6 +25,8 @@ # - the position of the proton-proton collision (primary vertex), # - the position of the $D^0$ decay (secondary vertex). +# In[1]: + import monashspa import uproot4 as uproot @@ -37,6 +39,8 @@ const_c = 2.99792e8 * 1e3 * 1e-12 ## in units mm/ps +# In[2]: + ## Download the data download_file_from_google_drive('1sJI2nsJGmCu52xvpqCaijYQlDyqGA2b7','Data_small.root') @@ -70,6 +74,8 @@ Pi_PT = np.sqrt(Pi_PX**2+Pi_PY**2) +# In[3]: + ## Lets try plotting the momentum of the kaon and pion fig, ax = plt.subplots(2, 2,figsize=(8,5)) @@ -92,6 +98,8 @@ plt.show() +# In[4]: + ## plot the position of the D0 production and decay verticies fig, ax = plt.subplots(2, 3, figsize=(10,5)) @@ -137,7 +145,9 @@ # - $m(\pi) = 139.6\,{\rm MeV}/c^{2}$ # - $m(K) = 493.7\,{\rm MeV}/c^{2}$ # -# **Task 1:** *[2 marks]* Create new variables called `K_E` and `Pi_E` in which you calculate the pion and kaon energies from the 3-momenta and their known masses. +# **Task 1:** *[2 marks]* Create new variables called `K_E` and `Pi_E` in which you calculate the pion and kaon energies from the 3-momenta and their known masses. + +# In[5]: # Pi_E = @@ -154,7 +164,9 @@ # $$ # we can use these to calculate the mass of the $D^0$ meson candidate. # -# **Task 2:** *[2 marks]* Calculate the $D^0$ mass using the all of the components of the kaon and pion 4-momentum. +# **Task 2:** *[2 marks]* Calculate the $D^0$ mass using the all of the components of the kaon and pion 4-momentum. + +# In[6]: ## D0_M = @@ -163,8 +175,9 @@ # Our sample contains both real $D^0\to K \pi$ decays as well as backgrounds from combinations of a kaon and pion that didn't originate from a $D^0$ meson. A loose set of requirements have already been applied to the sample we are analysing to reduce the number of background candidates, whilst keeping most of the real $D^0\to K \pi$ decays. # These two different contributions will be easy to see if you've calculated the $D^0$ mass correctly. Hint: the mass of the $D^0$ meson is $1864.84\pm0.05\,{\rm MeV}/c^2$. # -# **Task 3:** *[2 marks]* Create a histogram of the $D^0$ mass. +# **Task 3:** *[2 marks]* Create a histogram of the $D^0$ mass. +# In[7]: ## Plot D0_M histogram @@ -177,12 +190,16 @@ # $$ # Note, both the production and decay positions are given in units of $\rm mm$. # -# **Task 4:** *[4 marks]* Calculate and plot a histgram of the absolute distance $|\Delta\vec{x}|$ between the primary vertex (proton-proton collision) and secondary vertex ($D^0$ decay). +# **Task 4:** *[4 marks]* Calculate and plot a histgram of the absolute distance $|\Delta\vec{x}|$ between the primary vertex (proton-proton collision) and secondary vertex ($D^0$ decay). + +# In[8]: # D0_L = +# In[9]: + ## Plot D0_L histogram @@ -202,13 +219,15 @@ # t = \gamma \tau. # $$ # -# **Task 5** *[2 marks]* Derive an experession for the decay time $\tau$ in terms of $\Delta\vec{\mathbf{x}}$, $\vec{\mathbf{p}}$, and $m$. +# **Task 5** *[2 marks]* Derive an experession for the decay time $\tau$ in terms of $\Delta\vec{\mathbf{x}}$, $\vec{\mathbf{p}}$, and $m$. # # If we use $\vec{\mathbf{p}}$ in units of $[{\rm MeV}]$, $m$ in units of $[{\rm MeV}]$ and $\Delta\vec{\mathbf{x}}$ in units of $[\rm mm]$, the proper time $\tau$ will be calculated in units of $[\rm mm]$ (i.e. it's actually a length. This is because we are using natural units for the momentum and mass but SI units for the positions). # # We can convert $[\rm mm]$ into $[\rm ps]$ by dividing by the speed of light in units of $[\rm mm \,ps^{-1}]$ (given at the top of the script). -# **Task 6** *[5 marks]* Calculate and plot a histgram of the proper time $\tau$ in units of picoseconds. *Hint: you'll need to create arrays containing the $D^0$ total momentum and $p_{x}$, $p_{y}$ and $p_{z}$ components.* +# **Task 6** *[5 marks]* Calculate and plot a histgram of the proper time $\tau$ in units of picoseconds. *Hint: you'll need to create arrays containing the $D^0$ total momentum and $p_{x}$, $p_{y}$ and $p_{z}$ components.* + +# In[10]: # Calculate tau [ps] @@ -231,6 +250,8 @@ # An example is shown below for momentum. # +# In[11]: + ## Example of using masks to only plot a subset of data @@ -268,7 +289,9 @@ def subtractHitograms(hist_sig,hist_bkg): # -# **Task 7** *[5 marks]* Plot histograms of the $D^0$ decay time in the signal and background-only regions. Take the difference between the histograms to create the background-subtracted decaytime distribution. +# **Task 7** *[5 marks]* Plot histograms of the $D^0$ decay time in the signal and background-only regions. Take the difference between the histograms to create the background-subtracted decaytime distribution. + +# In[12]: ## Define signal and background masks @@ -292,9 +315,11 @@ def subtractHitograms(hist_sig,hist_bkg): # - What range of decay times should you include in you histogram? # - Why might the distribution not look purely exponential at small decay times? # -# **Task 8** *[5 marks]* Fit your decay time distribution to determine an estimate for the $D^0$ meson lifetime and an error. How does this compare to the known values? Use the [Particle Data Group](https://pdglive.lbl.gov/) value as a reference. What systematic sources of uncertainty might contribute in addition to the statistical uncertainty on your measurement? +# **Task 8** *[5 marks]* Fit your decay time distribution to determine an estimate for the $D^0$ meson lifetime and an error. How does this compare to the known values? Use the [Particle Data Group](https://pdglive.lbl.gov/) value as a reference. What systematic sources of uncertainty might contribute in addition to the statistical uncertainty on your measurement? # +# In[13]: + from lmfit import fit_report from scipy import stats @@ -368,6 +393,15 @@ def subtractHitograms(hist_sig,hist_bkg): plt.show() - - - +# ### Part 5: Use the impact parameter to estimate the uncertainty on each measurement +# In this large part you will need to demonstrate the use of tools that you have used above but without any template code to hep you. +# +# Each measurement of a $D^0$ decay will give us a measurement of the decay time. That is what we then used to fit the overall decay time distribution to give us the lifetime. However, we have ignored that each measurement will in fact have an uncertainty related to it. We will look at the uncertainty in the measurement by looking in a direction perpendicular to the direction of flight. +# +# **Task 9** *[5 marks]* For each candidate calculate the projection of the displacement $\Delta \vec{\mathbf{x}}$ on a plane perpendicular to the momentum vector $\vec{\mathbf{p}}$. Using the background subtraction method from above, plot the length of this projected vector for the signal candidates. Why you would expect this to follow a [Rayleigh distribution](https://en.wikipedia.org/wiki/Rayleigh_distribution) where the $\sigma$ parameter gives us the average resolution in the plane transverse to the momentum vector? Make a fit to determine $\sigma$. +# +# **Task 10** *[5 marks]* Assuming that the resolution $\sigma$ in the direction parallel to the momentum vector is the same as in the perpendicular direction, try to estimate if the fact that we ignored the resolution could lead to a sign ificant bias in our measurement. +# +# First, you will need to estimate how big an uncertainty in decay time you get from a given uncertainty in displacement. Using a "typical" momentum should be sufficient for this. From there you can use several methods to answer the question. You might find the [Exponentially modified Gaussian distribution](https://en.wikipedia.org/wiki/Exponentially_modified_Gaussian_distribution) useful and the fact that the mean value of an exponential (starting at $t=0$) is exactly the lifetime. Another method would be to on purpose smear your decay time measurements and then repeat the lifetime fit to look at the impact. +# +# Note that you are not asked to exactly determine a possible bias, but simply determine if it might be significant when compared to the statistical uncertainty on the lifetime.