{
  "id": 15732,
  "title": "Muon detection system - Does it tell direction?",
  "url": "/competitions/flavours-of-physics/discussion/15732",
  "author_name": "",
  "post_date": "2015-08-03T17:21:33.093Z",
  "votes": null,
  "comment_count": 3,
  "views": 660,
  "content": "<p>I stumbled onto a great resource for understanding the Muon detection system at <a href=\"http://iopscience.iop.org/1748-0221/3/08/S08005/pdf/1748-0221_3_08_S08005.pdf\">http://iopscience.iop.org/1748-0221/3/08/S08005/pdf/1748-0221_3_08_S08005.pdf</a>, starting page 125.</p>\n\n<p>Question: </p>\n\n<p>within the test.csv data set of runs, the variables for detected muons are:</p>\n\n<ul>\n<li>p0_pt - Transverse momentum of p0 muon.</li>\n<li>p0_p - Momentum of p0 muon.</li>\n<li>p0_eta - Pseudorapidity of p0 muon.</li>\n<li>p0_IP - Impact parameter of p0 muon.</li>\n<li>p0_IPSig - Impact Parameter Significance of p0 muon.</li>\n</ul>\n\n<p>The data seems to only tell you direction in 2 dimensions, ie. total momentum and transverse momentum. Is there a way to tell the direction of the muon in 3 dimensions and track it back to where it was created?</p>\n\n<p>Perhaps I have missed something important here.</p>\n\n<p>Thank you, any ideas or comments welcome.</p>\n\n<p>Muon detection from the article:</p>\n\n<blockquote>\n  <p><strong>6.3 Muon System</strong></p>\n  \n  <p>Muon triggering and offline muon identification are fundamental\n  requirements of the LHCb experiment. Muons are present in the final\n  states of many CP-sensitive B decays, in particular the two\n  gold-plated decays, B0 d &#8594; J/&#968; (&#181;\n  +&#181; &#8722;)K 0 S and B0 s &#8594; J/&#968; (&#181;\n  +&#181; &#8722;)&#966; [2]. They play a major role in CP asymmetry and oscillation measurements, since muons from semi-leptonic b decays provide a tag of\n  the initial state flavor of the accompanying neutral B mesons. In\n  addition, the study of rare B decays such as the flavour-changing\n  neutral current decay, B0 s &#8594; &#181;\n  +&#181; &#8722;, may reveal new physics beyond the Standard Model [163].</p>\n  \n  <p>The muon system provides fast information for the high-pT muon trigger\n  at the earliest level (Level-0) and muon identification for the\n  high-level trigger (HLT) and offline analysis.</p>\n</blockquote>",
  "messages": [
    {
      "id": "88117",
      "postDate": "08/03/2015 17:21:33",
      "content": "<p>I stumbled onto a great resource for understanding the Muon detection system at <a href=\"http://iopscience.iop.org/1748-0221/3/08/S08005/pdf/1748-0221_3_08_S08005.pdf\">http://iopscience.iop.org/1748-0221/3/08/S08005/pdf/1748-0221_3_08_S08005.pdf</a>, starting page 125.</p>\n\n<p>Question: </p>\n\n<p>within the test.csv data set of runs, the variables for detected muons are:</p>\n\n<ul>\n<li>p0_pt - Transverse momentum of p0 muon.</li>\n<li>p0_p - Momentum of p0 muon.</li>\n<li>p0_eta - Pseudorapidity of p0 muon.</li>\n<li>p0_IP - Impact parameter of p0 muon.</li>\n<li>p0_IPSig - Impact Parameter Significance of p0 muon.</li>\n</ul>\n\n<p>The data seems to only tell you direction in 2 dimensions, ie. total momentum and transverse momentum. Is there a way to tell the direction of the muon in 3 dimensions and track it back to where it was created?</p>\n\n<p>Perhaps I have missed something important here.</p>\n\n<p>Thank you, any ideas or comments welcome.</p>\n\n<p>Muon detection from the article:</p>\n\n<blockquote>\n  <p><strong>6.3 Muon System</strong></p>\n  \n  <p>Muon triggering and offline muon identification are fundamental\n  requirements of the LHCb experiment. Muons are present in the final\n  states of many CP-sensitive B decays, in particular the two\n  gold-plated decays, B0 d &#8594; J/&#968; (&#181;\n  +&#181; &#8722;)K 0 S and B0 s &#8594; J/&#968; (&#181;\n  +&#181; &#8722;)&#966; [2]. They play a major role in CP asymmetry and oscillation measurements, since muons from semi-leptonic b decays provide a tag of\n  the initial state flavor of the accompanying neutral B mesons. In\n  addition, the study of rare B decays such as the flavour-changing\n  neutral current decay, B0 s &#8594; &#181;\n  +&#181; &#8722;, may reveal new physics beyond the Standard Model [163].</p>\n  \n  <p>The muon system provides fast information for the high-pT muon trigger\n  at the earliest level (Level-0) and muon identification for the\n  high-level trigger (HLT) and offline analysis.</p>\n</blockquote>",
      "rawMarkdown": "I stumbled onto a great resource for understanding the Muon detection system at [http://iopscience.iop.org/1748-0221/3/08/S08005/pdf/1748-0221_3_08_S08005.pdf][1], starting page 125.\r\n\r\nQuestion: \r\n\r\nwithin the test.csv data set of runs, the variables for detected muons are:\r\n\r\n - p0_pt - Transverse momentum of p0 muon.\r\n - p0_p - Momentum of p0 muon.\r\n - p0_eta - Pseudorapidity of p0 muon.\r\n - p0_IP - Impact parameter of p0 muon.\r\n - p0_IPSig - Impact Parameter Significance of p0 muon.\r\n\r\nThe data seems to only tell you direction in 2 dimensions, ie. total momentum and transverse momentum. Is there a way to tell the direction of the muon in 3 dimensions and track it back to where it was created?\r\n\r\nPerhaps I have missed something important here.\r\n\r\nThank you, any ideas or comments welcome.\r\n\r\nMuon detection from the article:\r\n\r\n> **6.3 Muon System**\r\n> \r\n> Muon triggering and offline muon identification are fundamental\r\n> requirements of the LHCb experiment. Muons are present in the final\r\n> states of many CP-sensitive B decays, in particular the two\r\n> gold-plated decays, B0 d → J/ψ (µ\r\n> +µ −)K 0 S and B0 s → J/ψ (µ\r\n> +µ −)φ [2]. They play a major role in CP asymmetry and oscillation measurements, since muons from semi-leptonic b decays provide a tag of\r\n> the initial state flavor of the accompanying neutral B mesons. In\r\n> addition, the study of rare B decays such as the flavour-changing\r\n> neutral current decay, B0 s → µ\r\n> +µ −, may reveal new physics beyond the Standard Model [163].\r\n> \r\n> The muon system provides fast information for the high-pT muon trigger\r\n> at the earliest level (Level-0) and muon identification for the\r\n> high-level trigger (HLT) and offline analysis.\r\n\r\n\r\n  [1]: http://iopscience.iop.org/1748-0221/3/08/S08005/pdf/1748-0221_3_08_S08005.pdf",
      "votes": null
    },
    {
      "id": "88370",
      "postDate": "08/04/2015 14:14:32",
      "content": "<p>The variables p, pt and eta are related by the following formula: p = pt*cosh(eta), and eta is related to the polar angle theta by eta = -ln(tan(theta/2)). Information to extract the azimuthal angle phi (which would be very useful) appears to be missing from the data (I'm not aware of a way to infer it from the information that is present). This information is needed to determine the 3D trajectory of the muon. Look here:\n<a href=\"https://en.wikipedia.org/wiki/Pseudorapidity\">https://en.wikipedia.org/wiki/Pseudorapidity</a></p>",
      "rawMarkdown": "The variables p, pt and eta are related by the following formula: p = pt*cosh(eta), and eta is related to the polar angle theta by eta = -ln(tan(theta/2)). Information to extract the azimuthal angle phi (which would be very useful) appears to be missing from the data (I'm not aware of a way to infer it from the information that is present). This information is needed to determine the 3D trajectory of the muon. Look here:\r\nhttps://en.wikipedia.org/wiki/Pseudorapidity",
      "votes": null
    },
    {
      "id": "88394",
      "postDate": "08/04/2015 16:03:07",
      "content": "<p>Thanks, I agree. There are also the 3 variables:</p>\n\n<ul>\n<li>DOCAone - Distance of Closest Approach between p0 and p1.</li>\n<li>DOCAtwo - Distance of Closest Approach between p1 and p2.</li>\n<li>DOCAthree - Distance of Closest Approach between p0 and p2.</li>\n</ul>\n\n<p>Unfortunately there is no unit for the variable (ie. are they 10^-6 meters or 10^-15 meters??). These variables don't seem to make any sense since they have a fairly even distribution (although biased to the high side). I would have expected them to be either 0 (the two muons were created at the same time and place) or non-0 (one muon was created then a second one created a little ways away in time and space from the by-product of the first muon creation event).</p>\n\n<p>Can anyone add to the understanding, maybe the admins?  Are these real variables or only tossed into the mix as noise?</p>",
      "rawMarkdown": "Thanks, I agree. There are also the 3 variables:\r\n\r\n - DOCAone - Distance of Closest Approach between p0 and p1.\r\n - DOCAtwo - Distance of Closest Approach between p1 and p2.\r\n - DOCAthree - Distance of Closest Approach between p0 and p2.\r\n\r\nUnfortunately there is no unit for the variable (ie. are they 10^-6 meters or 10^-15 meters??). These variables don't seem to make any sense since they have a fairly even distribution (although biased to the high side). I would have expected them to be either 0 (the two muons were created at the same time and place) or non-0 (one muon was created then a second one created a little ways away in time and space from the by-product of the first muon creation event).\r\n\r\nCan anyone add to the understanding, maybe the admins?  Are these real variables or only tossed into the mix as noise?",
      "votes": null
    },
    {
      "id": "88703",
      "postDate": "08/06/2015 18:48:02",
      "content": "<p>The DOCAs are reconstructed quantities, so the true value is smeared out by the detector resolution. These are real variables ;)</p>\n\n<p>Cheers,\nMarcin</p>",
      "rawMarkdown": "The DOCAs are reconstructed quantities, so the true value is smeared out by the detector resolution. These are real variables ;)\r\n\r\nCheers,\r\nMarcin",
      "votes": null
    }
  ],
  "comments": [
    {
      "id": 88370,
      "author_name": "andrewjohnlowe",
      "author_url": "",
      "post_date": "08/04/2015 14:14:32",
      "content": "<p>The variables p, pt and eta are related by the following formula: p = pt*cosh(eta), and eta is related to the polar angle theta by eta = -ln(tan(theta/2)). Information to extract the azimuthal angle phi (which would be very useful) appears to be missing from the data (I'm not aware of a way to infer it from the information that is present). This information is needed to determine the 3D trajectory of the muon. Look here:\n<a href=\"https://en.wikipedia.org/wiki/Pseudorapidity\">https://en.wikipedia.org/wiki/Pseudorapidity</a></p>",
      "votes": null,
      "replies": []
    },
    {
      "id": 88394,
      "author_name": "edguy99",
      "author_url": "",
      "post_date": "08/04/2015 16:03:07",
      "content": "<p>Thanks, I agree. There are also the 3 variables:</p>\n\n<ul>\n<li>DOCAone - Distance of Closest Approach between p0 and p1.</li>\n<li>DOCAtwo - Distance of Closest Approach between p1 and p2.</li>\n<li>DOCAthree - Distance of Closest Approach between p0 and p2.</li>\n</ul>\n\n<p>Unfortunately there is no unit for the variable (ie. are they 10^-6 meters or 10^-15 meters??). These variables don't seem to make any sense since they have a fairly even distribution (although biased to the high side). I would have expected them to be either 0 (the two muons were created at the same time and place) or non-0 (one muon was created then a second one created a little ways away in time and space from the by-product of the first muon creation event).</p>\n\n<p>Can anyone add to the understanding, maybe the admins?  Are these real variables or only tossed into the mix as noise?</p>",
      "votes": null,
      "replies": []
    },
    {
      "id": 88703,
      "author_name": "albercik1905",
      "author_url": "",
      "post_date": "08/06/2015 18:48:02",
      "content": "<p>The DOCAs are reconstructed quantities, so the true value is smeared out by the detector resolution. These are real variables ;)</p>\n\n<p>Cheers,\nMarcin</p>",
      "votes": null,
      "replies": []
    }
  ],
  "raw_markdown_by_id": {
    "88117": "I stumbled onto a great resource for understanding the Muon detection system at [http://iopscience.iop.org/1748-0221/3/08/S08005/pdf/1748-0221_3_08_S08005.pdf][1], starting page 125.\r\n\r\nQuestion: \r\n\r\nwithin the test.csv data set of runs, the variables for detected muons are:\r\n\r\n - p0_pt - Transverse momentum of p0 muon.\r\n - p0_p - Momentum of p0 muon.\r\n - p0_eta - Pseudorapidity of p0 muon.\r\n - p0_IP - Impact parameter of p0 muon.\r\n - p0_IPSig - Impact Parameter Significance of p0 muon.\r\n\r\nThe data seems to only tell you direction in 2 dimensions, ie. total momentum and transverse momentum. Is there a way to tell the direction of the muon in 3 dimensions and track it back to where it was created?\r\n\r\nPerhaps I have missed something important here.\r\n\r\nThank you, any ideas or comments welcome.\r\n\r\nMuon detection from the article:\r\n\r\n> **6.3 Muon System**\r\n> \r\n> Muon triggering and offline muon identification are fundamental\r\n> requirements of the LHCb experiment. Muons are present in the final\r\n> states of many CP-sensitive B decays, in particular the two\r\n> gold-plated decays, B0 d → J/ψ (µ\r\n> +µ −)K 0 S and B0 s → J/ψ (µ\r\n> +µ −)φ [2]. They play a major role in CP asymmetry and oscillation measurements, since muons from semi-leptonic b decays provide a tag of\r\n> the initial state flavor of the accompanying neutral B mesons. In\r\n> addition, the study of rare B decays such as the flavour-changing\r\n> neutral current decay, B0 s → µ\r\n> +µ −, may reveal new physics beyond the Standard Model [163].\r\n> \r\n> The muon system provides fast information for the high-pT muon trigger\r\n> at the earliest level (Level-0) and muon identification for the\r\n> high-level trigger (HLT) and offline analysis.\r\n\r\n\r\n  [1]: http://iopscience.iop.org/1748-0221/3/08/S08005/pdf/1748-0221_3_08_S08005.pdf",
    "88370": "The variables p, pt and eta are related by the following formula: p = pt*cosh(eta), and eta is related to the polar angle theta by eta = -ln(tan(theta/2)). Information to extract the azimuthal angle phi (which would be very useful) appears to be missing from the data (I'm not aware of a way to infer it from the information that is present). This information is needed to determine the 3D trajectory of the muon. Look here:\r\nhttps://en.wikipedia.org/wiki/Pseudorapidity",
    "88394": "Thanks, I agree. There are also the 3 variables:\r\n\r\n - DOCAone - Distance of Closest Approach between p0 and p1.\r\n - DOCAtwo - Distance of Closest Approach between p1 and p2.\r\n - DOCAthree - Distance of Closest Approach between p0 and p2.\r\n\r\nUnfortunately there is no unit for the variable (ie. are they 10^-6 meters or 10^-15 meters??). These variables don't seem to make any sense since they have a fairly even distribution (although biased to the high side). I would have expected them to be either 0 (the two muons were created at the same time and place) or non-0 (one muon was created then a second one created a little ways away in time and space from the by-product of the first muon creation event).\r\n\r\nCan anyone add to the understanding, maybe the admins?  Are these real variables or only tossed into the mix as noise?",
    "88703": "The DOCAs are reconstructed quantities, so the true value is smeared out by the detector resolution. These are real variables ;)\r\n\r\nCheers,\r\nMarcin"
  },
  "source": "meta"
}